Friday, October 31, 2008

The 4,827th Reexamination of Hayek's System

In various blogs, John Holbo, Julian Sanchez, and Matthew Yglesias comment on Hayek. In commenting on Jesse Larner's views on Hayek, I have already mentioned my opinion that The Road to Serfdom can be read more as a jeopardy argument than a slippery slope argument. I've also noted Hayek's difficulties in analyzing mixed, mainly capitalist economies.

Update: Brad DeLong says that The Road to Serfdom was too a slippery slope argument, and Matthew Yglesias reacts.

Thursday, October 30, 2008

Read Colander and Klamer Before Applying to Graduate School

I am amused by the thread created by this polemic, titled "What I thought a PhD was about":
When I first envitioned the dream of having a PhD one day, I had really wrong ideas about it. At first, I thought a PhD was a synonimous of erudition in economics. I believed that someone who had a PhD would have run trhough all the economic theory. But I was mistaken.

It really amaze me that it exists some people who have a PhD in economics and who have never read the wealth of Nations. Right now, a PhD in Economics looks more like an Applied Math PhD. Which is something that really annoys me.

Today, a PhD in economics is not about mastery of economic science but about mastery of statistics and mathematics, in respect to their applications to economic theory.

If I were a graduate dean, I wouldn't admit anyone without undergrad training in economics to persuit graduate studies. In my opinion the profession is too much full with frustrated mathematician and physist who, after they realized they wouldn't do anything worth in their field turned to economics to corrupt that beautiful science with their arcane mathematics.

I hate that. And I hate people who allows that..."

Monday, October 27, 2008

A Characteristic In Common Between the New Palgrave and Wikipedia

Mark Blaug reviewed the 1987 edition of the New Palgrave, apparently for some right-wing outfit. I find much in his review to disagree with. But I think he has a point here:
"The Eatwell-Milgate-Newman policy of publishing multiple entries with slightly different titles for identical subjects constantly produces curious results... On balance, a policy of presenting competing opinions under the same title would have been vastly preferable to the Eatwell-Milgate-Newman policy of several entries under different titles on what is in fact one and the same topic." -- Mark Blaug, Economics Through the Looking Glass: The Distorted Perspective of the New Palgrave Dictionary of Economics, Institute of Economic Affairs, 1988.
An example I found would be Walter Eltis' article "Falling Rate of Profit" and N. Okishio on "Choice of Technique and Rate of Profit". Neither references the other. Sometimes the Eatwell-Milgate-Newman policy makes no difference, e.g. in successive articles on "Competition," "Competition: Austrian Conceptions," "Competition: Classical Conceptions," and "Competition: Marxian Conceptions".

Wikipedia also has closely related articles with different names. Here are some examples in economics:
I admit an interest in some of these entries. I did quite a bit of work on the General Equilibrium entry. The Labor Theory of Value entry, which is terribly written, currently includes a link to my FAQ. Although it has evolved, I wrote, near-enough, the original version of the Neoclassical entry.

The Law of Value/Labor Theory of Value and Marginalism/Neoclassical economics pairs closely follow Blaug's complaint. Each member of a pair are written from very different perspectives. (I've been in edit wars with the crank maintaining the marginalism entry.)

By the way, both the comparative advantage and the Heckscher-Ohlin entry, including related entries on HO theorems, contain the usual errors about capital. That is, these entries are simply incorrect.

Friday, October 24, 2008

Edward, You Ignorant Arse

In an email exchange with a graduate student, Edward Prescott proves himself to be an impolite, ignorant, arrogant fool. Prescott's correspondent, Leonid Teytelman, doubted this must be Prescott in full possession of his faculties - maybe an adolescent niece or nephew had somehow gotten ahold of Prescott's account. He could not be drunk, since the interchange took place over several days. Myself, I have no problem in believing that Prescott understands neither the science of economics nor basic facts about the United States economy.

Apparently Prescott, in his professional work with Kyland, is equally incoherent. Jim Hartley documents that
"In five different programmatic manifestos over a span of 15 years, Kydland and Prescott have offered five different—and in many ways mutually incompatible—justifications for the models they were advocating." -- James E. Hartley (2006) "Kyland and Prescott's Nobel Prize: the Methodology of Time Consistency and Real Business Cycle Models", Review of Political Economy, V. 18, N. 1 (January): 1-28
At one point, business cycles are caused by the time-to-build capital equipment. No, they are caused by technology shocks in a growth model. You should believe this because "the smoothed series and the derivations from the smoothed series are quantitatively consistent with the observed behavior". No, only because the model explains co-movements of the deviations. No, because the newly interpreted model follows from "standard" theory (Solow-Swan growth modeling). And deviations from the model are because the measurements are bad. No, the model was built to explain previously observed facts, which are observed not by looking at deviations from the Solow-Swan growth model, but from deviations from the output of the Hodrick-Prescott filter. In particular, the model explains the observed acyclical nature of movements in real wages. That is, the model explains the observed strong procyclical nature of movements in real wages. And the model is merely an application of Computable General Equilibrium modeling. The parameters of the model are based on observed values. No, they are chosen so the model outputs "mimic the world".

Wednesday, October 22, 2008

A SF Fraction Or Faction

I sometimes wonder if Ken MacLeod writes science fiction novels just for me. What other novelist has characters refer to Leontief matrices?

Anyway, he has a blogroll I find quite interesting to explore. I here skip over commentators on science and on current events. The suggested reading off Kevin Carson's mutualist site makes available all sorts of old works. I trust William Godwin's Enquiry Concerning the Principles of Political Justice is the pamphlet Malthus reacted to. I am interested in how the Ricardian socialists argued, on the basis of classical political economy, that the source of returns to capital is the exploitation of labor. I expect to find that that is an aspect of Thomas Hodgskin's Labour Defended against the Claims of Capital Or the Unproductiveness of Capital proved with Reference to the Present Combinations amongst Journeymen.

Another site on MacLeod's blogroll that will take me years to explore gathers essays refuting myths & legends about Marx. I suspect I will be more open to some of these arguments than others.

I have read compliments on David Schweickart. I want to recall to look up his "Economic Democracy: A Worthy Socialism that Would Really Work" (Science & Society, V. 56, N. 1, Spring 1992: 9-38) next time I am in a university library, also available at SolidarityEconomy.net, which seems defunct.

Monday, October 20, 2008

Kaldor's Contributions: An Impressionistic Survey

Introduction
This post gives a quick overview of my impressions of the contributions to economics of Nicholas Kaldor. In writing this post, I deliberately did not review the entries on him at Gonçalo Fonseca's site on the history of economic thought, in the New Palgrave, or at Wikipedia. I did use Turner (1993) for the biographical details.

Biography
I will be brief on the biography of Lord Nicholas Kaldor (12 May 1908 - 1986). Born in Budapest, he later studied at Berlin. He transferred to the London School of Economics (LSE) as an undergraduate in the Fall of 1927. Kaldor visited the United States, including Harvard and Princeton, in 1935. He moved to Cambridge in 1939, with the evacuation of the LSE to Cambridge, and stayed on at Cambridge (King's College) after the war. He joined the United States Strategic Bombing Survey under the direction of John Kenneth Galbraith. He became a Baron in 1974 and was the president of the Royal Economic Society in 1976. Kaldor's wife was named Clarissa, and they had four daughters. Anthony P. Thirwall was named his literary executor.

1930s
Economists in the 1930s had, once again, a controversy on the theory of capital, with Frank Knight on one side and Friedrich A. Hayek and Fritz Machlup on the other. Early in his career, Kaldor (1937) surveyed that dispute. He followed up with investigations (1939a, 1942) of Hayek's capital theory and exposition of the Austrian Business Cycle Theory. Although Kaldor's judgments are sharp, I think these articles might have been more convincing if the standard of the time allowed for more mathematics.

I don't recall ever reading Kaldor's original contributions to welfare economics. Apparently, he had an article in the 1939 volume of the Economic Journal. This article and one by J. R. Hicks are the primary source of the famous Hicks-Kaldor compensation principle.

Apparently the younger economists at Cambridge and LSE, such as Robinson and Kaldor, respectively, met once a month to debate macroeconomics even before the publication of Keynes' General Theory. Kaldor became a convert to Keynes, as can be seen in Kaldor (1939b). Barkley Rosser, Jr., tends to cite Goodwin and Kaldor as early explorations of non-linear dynamics in economic models. Maybe Kaldor (1940) is important here, which I have not read in at least a decade, if ever.

Later Work on Growth and Distribution Theory
Kaldor's later work on growth and distribution is more clearly Post Keynesian, in my opinion. His 1956 paper compares and contrast three theories of distribution: a neoclassical theory which makes most sense with a now exploded scarcity theory of value, a classical theory in which wages are exogeneous in the theory of value and distribution, and a Post Keynesian theory in which the distribution of income depends on macroeconomic savings propensities. I think this paper led to the souring of his relationship with Joan Robinson; she was, I guess, worried about priority in publication. Luigi Pasinetti disputed the logical consistency of Kaldor's presentation, in which workers obtain income from capital but save that portion of their income at the higher rate characteristic in Kaldor's model of savings out of profits. In a later seminar with Pasinetti, Robinson, and Samuelson & Modigliani, Kaldor (1966) clarified that he thought of the savings rate as pertaining to the source of income, not the individual savers. This ties into the idea that savings out of retained earnings is not transparent to those holding stock in corporations. Kaldor suggested these ideas can explain how the market value of corporate stock relates to the book value of the assets owned by corporations. Later work by others demonstrate that for two classes to persist in Kaldor's model, the rate of profits must exceed the rate of interest (i.e., the return to capital obtainable by workers in the financial markets they have access to). This may not be a good idea, but perhaps it would be an interesting idea to synthesize this literature with literature related to De Long et al (1990) - and I would prefer not to reference Shleifer.

Kaldor developed a related series of growth models. He presented one at the famous August 1958 Corfu conference. I guess it was in this paper he presented his "stylized facts". He presented another model in this series (Kaldor and Mirrlees 1962) in the same issue of the Review of Economic Studies in which he welcomed (1962) Arrow to the band of heretics for his "Learning by Doing" paper. Kaldor's models use a technical progress function, which, I gather, is empirically indistinguishable from a Cobb-Douglas production function with technical progress.

Kaldor emphasized increasing returns in manufacturing in these models, and he championed Verdoon's law. Thirwall (e.g., 1986) applies these ideas to developing economics. I gather a policy recommendation in this literature is for export-led growth. An emphasis on increasing returns underlies Kaldor's (1972, 1975, and 1985) mature criticisms of neoclassical economics.

Finally, I want to mention Kaldor's theory of endogenous money. Kaldor described both the inability of monetary authorities to control the supply of money under some given definition and the ability of financial institutions to continually evolve new instruments to serve as money. He used these ideas to refute monetarism (1986, first edition 1982).

References
  • J. Bradford De Long, Andrei Shleifer, Lawrence H. Summers, and Robert J. Waldmann (1990) "Noise Trader Risk in Financial Markets", Journal of Political Economy, V. 98, N. 4 (August): 703-738
  • Nicholas Kaldor (1937) "Annual Survey of Economic Theory: The Recent Controversy on the Theory of Capital", Econometrica, V. 5, N. 3 (July): 201-233
  • -- (1939a) "Capital Intensity and the Trade Cycle", Economica, New Series, V. 6, N. 21 (February): 40-66
  • -- (1939b) "Speculation and Economic Stability", Review of Economic Studies, V. 7, N. 1 (October): 1-27
  • -- (1940) "A Model of the Trade Cycle", Economic Journal, V. 50, N. 197 (March): 78-92
  • -- (1942) "Professor Hayek and the Concertina-Effect", Economica, New Series, V. 9, N. 36 (November): 359-382
  • -- (1956) "Alternative Theories of Distribution", Review of Economic Studies, V. 23: 83-100
  • -- (1962) "Comment", Review of Economic Studies V. 29, N. 3 (June): 246-250
  • -- (1966) "Marginal Productivity and Macro-Economic Theories of Distribution: Comment on Samuelson and Modigliani", Review of Economic Studies, V. 33, N. 4 (October): 309-319
  • -- (1985) Economics without Equilibrium, M. E. Sharpe
  • -- (1972) "The Irrelevance of Equilibrium Economics", Economic Journal, V. 82, N. 328 (December): 1237-1255
  • -- (1975) "What is Wrong with Economic Theory", Quarterly Journal of Economics, V. 89, N. 3 (August): 347-357
  • -- (1986) The Scourge of Monetarism, Second Edition, Oxford University Press
  • Nicholas Kaldor and James A. Mirrlees (1962) "A New Model of Economic Growth", Review of Economic Studies V. 29, N. 3 (June): 174-192
  • A. P. Thirwall (1986) "A General Model of Growth and Development on Kaldorian Lines", Oxford Economic Papers (July)
  • Marjorie S. Turner (1993) Nicholas Kaldor and the Real World, M. E. Sharpe

"Macroeconomics as an Autonomous Discipline"

"Paradoxically, the main result obtained by the new classical economists is the demonstration - against their wishes and expectations - that a satisfactory synthesis of macroeconomics and microeconomics is not yet mature. As a matter of fact, the micro-foundations of macroeconomics which they suggest are by now far from satisfactory. They rely on the heroic assumption that the decision-makers of the models are representative agents, whose behavior fairly well approximates the aggregate behavior of the economy. Unfortunately this assumption surreptitiously eliminates the main object that should be studied by macroeconomics: aggregation problems and failures of coordination between the behavior of individuals. Even so, the suggested micro-foundations work only under very special assumptions which actually deny any importance to the main problems considered by Keynes's macroeconomics: uncertainty, disequilibrium, instability, structural change, etc. As we have seen, disequilibria are assumed to be non-intelligible and are therefore ignored; uncertainty is emasculated by the 'certainty equivalence' hypothesis; instability is defined away by arbitrarily restricting the analysis to stationary and ergodic processes and taking account only of the subset of stable solutions...

The failure of this reductionist research programme may be due to the immaturity of current macroeconomics, but it may also be due to weaknesses in existing microeconomic theory. Notwithstanding the widespread belief in its intrinsic solidity, the micro theory currently accepted by the new classical economists may prove on closer examination to be insufficiently powerful to provide solid foundations for a satisfactory macroeconomics. To take the preliminary steps towards a real synthesis between macro and micro theories, it is necessary to consider not only the micro-foundations of macroeconomics but also the macro-foundations of microeconomics (Hicks 1983).

The history of scientific thought shows that whenever a synthesis between different disciplines has been successfully accomplished, the result has been a new discipline with features not reducible to those of the original disciplines. Such a synthesis between micro and macroeconomics, if it is possible, is still far away. In the meantime the reciprocal autonomy of disciplines should be carefully safeguarded. It is particularly important to defend the autonomy of macroeconomics, as today this is greatly jeopardized by views like those mentioned above. Therefore we should revert to the original Keynesian concept of macroeconomics as an autonomous discipline. This does not imply that we should give up making serious efforts to provide rigorous micro-foundations for our macroeconomic statements, if that means searching for greater consistency between the two disciplines. In other words we should continue to pursue a full synthesis between microeconomics and macroeconomics. Many things have been learned from past attempts, unsuccessful as they were, and many others may be learned through future efforts.

But in the meantime one should not reject as non-scientific any contribution that lacks proper 'micro-foundations,' particularly in the restricted sense of a 'reduction to current Walrasian microeconomics.' As a matter of fact, though it may be found impossible to provide proper micro-foundations to a given macroeconomic statement, this might become possible in the future. Such developments have occurred many times in the past and it could happen again, especially if microeconomics extends its range well beyond its Walrasian bounds. To reject this view would be as irrational as to reject as non-scientific any biological statement not yet reducible to chemical statements. Unfortunately, as has been wisely remarked, the only known way to reduce biology to chemistry is murder." -- Alessandro Vercelli, Methodological Foundations of Macroeconomics: Keynes & Lucas, Cambridge University Press, 1991.

Thursday, October 16, 2008

You Got Me Babe

Here are two books one can read on-line and that I may read:The first book discusses data mining in an anti-terrorism context. Success of this tchnology in this context is difficult, while false positives are a threat to privacy. At least this is the conclusion - if I am fairly summarizing - of the Committee on Technical and Privacy Dimensions on Information for Terrorism Prevention and Other National Goals. (The National Academies Press publishes reports by the National Academies and by the National Research Council, organizations of some importance in the formation of United States policies on science and technology.)

The second book is Nicholas Kaldor's demonstration that monetarism does not work. On this blog, Kaldor should need no introduction.

Both books are in a freely readable on-line format that I find annoying. I suppose the format of the free version of the first is a business decision to encourage the purchase of the PDF version. And I blame copyright law for the format of the second.

Saturday, October 11, 2008

"Just Look At The Marginal Product Of Capital"

Friday's New York Times has an editorial by Casey Mulligan, a professor of economics at the University of Chicago. Mulligan says that the U.S. economy will keep on doing fine, as shown by "the profitability of non-financial capital, what economists call the marginal product of capital." Mulligan is, of course, incorrect. Economists do not call the rate of profits "the marginal product of capital". Even the proposition that, in equilibrium, the rate of profits and the marginal product of capital are equal is without any theoretical or empirical justification. Casey Mulligan is, at best, ignorant and incompetent.

Post Keynesians and others would also tend to be skeptical of other aspects of Mulligan’s editorial. It is a Post Keynesian belief that money is not a veil, neither in the long run nor the short run. Finance can cause the real economy to become discoordinated. Mulligan looks at trends in the rate of profits from before the Great Depression to now. One could assert that one aspect of such trends is a class struggle over the distribution of the surplus. Perhaps workers are sufficiently cowed today that, unlike in the 1970s, no danger exists of a profitability crisis. (Given the Okishio theorem, I do not think that a law of the tendency of the rate of profits to fall follows from Marx’s assumptions, at least in my favorite formalizations of Marx’s approach.) A realization crisis might still arise. When income distribution is so unequal, one might expect effective demand to be weak.

Thursday, October 09, 2008

Who Should Win The "Nobel" Prize In Economics?

I say Paul Davidson and Luigi Pasinetti should win it.

Sunday, October 05, 2008

For Whatever Can Walk - It Must Walk Once More

1.0 Introduction
This post presents a simple macroeconomic model that combines trend and cycle. It presents some possible aspects of economic growth and business cycles. This model has some features that I find objectionable, but I find it interesting nonetheless. It is a non-linear model of dynamics presenting a formalization of some ideas to be found in Marx's Capital. And it is a model that does not impose equilibrium, but allows for the stability of equilibrium to be analyzed.

2.0 Technology
Assume a Leontief (fixed coefficients) production function:
q = min(a l, k/σ)
where q is gross output, l is the labor employed, k is the value of capital, a is labor productivity, and σ is the capital-output ratio. Both constraints in the production function are always met with equality:
l = q/a
σ = k/q
The capital stock is always employed, but sometimes employment can fall short of the entire labor force, as explained below.

The capital stock depreciates at a rate of 100 δ percent. That is, output can either be consumed or added to a capital stock that experiences a force of mortality of δ. Technical progress is disembodied, and labor productivity increases at a constant rate:
a = a0 exp( α t )
The labor force also grows at a constant rate:
n = n0 exp( β t)
where n is the labor supply. Hence, v is the employment rate, where the employment rate is defined as follow:
v = l/n
When v is unity, the labor force is fully employed. v ranges from (a subinterval of) zero to unity in this model.

3.0 Wages, Profits, Investment
Let w be the wage rate. Then (w l) or (w q/a) are total wages. Define u to be the workers share of the gross product:
u = w/a
Then (1 - u) is the capitalists' share of the product. Assume that wages are entirely consumed and that a fixed proportion of profits are saved and invested:
dk/dt = s (1 - u) q - δ k
where s is the savings rate out of profits.

Finally, assume that the rate of growth of wages is a (linear) increasing function of the employment rate:
(1/w) dw/dt = - γ + ρ v
The above equation could also be written as:
(1/w) dw/dt = ρ [v - (γ/ρ) ]
In words, wages grow faster in a tight labor market. The marginal productivity of labor is beside the point in this model.

4.0 Derivation of the Model
The rate of growth of the employment rate is the difference between the rate of growth of employment and the rate of growth of the labor force:
(1/v) dv/dt = (1/l) dl/dt - β
By similar manipulations, one can show that the rate of growth of employment is the difference between the rate of growth of output and the rate of growth of productivity:
(1/l) dl/dt = (1/q) dq/dt - α
Combining these two equations yields an equation relating the rate of growth of the employment rate to the rate of growth in output:
(1/v) dv/dt = (1/q) dq/dt - (α + β)
The derivation of the following equation from the definition of the capital-output ratio and the equation for the rate of change in the value of capital is simpler:
(1/q) dq/dt = (1 - u) s/σ - δ
Hence,
(1/v) dv/dt = (1 - u)(s/σ) - (α + β + δ)
The rate of growth of workers' share in gross ouput is the difference between the rate of growth of wages and the rate of growth of productivity:
(1/u) du/dt = (1/w) dw/dt - α
Substitute from the postulated relation between the rate of growth in wages and the employment rate:
(1/u) du/dt = ρ v - (α + γ)

The following pair of equations, the fundamental equations of this model, restate equations derived above:
dv/dt = (s/σ - α - β - δ) v - (s/σ) u v
du/dt = -(α + γ) u + ρ u v
Here's the cool part - this is the Lotka-Volterra predator-prey model. It is a canonical non-linear dynamical system used to model, say, lynx and rabbits.

5.0 Solution of the Model
For what its worth, a trajectory in phase space has the equation:
(uν1) exp(- θ1 u) = H(v- ν2) exp(θ2 v)
where
θ1 = s
θ2 = ρ
ν1 = s/σ - (α + β + δ)
ν2 = (α + γ)
and H is an arbitrary integrating constant. All these trajectories consist of cycles, as illustrated in Figure 1. The limit point around which these trajectories cycle is given by:
u* = ν11
v* = ν22 = (α + γ)/ρ
(The origin in phase space is also a limit point; the origin has the stability of a saddle-point.)
Figure 1: Phase Space

Figure 2: A Trajectory

6.0 Discussion
I think it interesting to note that the rate of growth of wages at the limit point is positive due to growth in productivity; in fact, the rate of growth of wages at the limit point is equal to the rate of growth in productivity. If productivity did not grow, if the labor force were stationary, and if there were no depreciation, wages would consume the entire product at the limit point; the capitalists would receive no profits.

A single cycle can easily be described in intutitive terms. Start with low unemployment. Wages will increase as a share in output. Consequently, saving and investment will decline. The growth of output will slow. Eventually, the "reserve army of the unemployed" will be recreated. Wages will decrease as a share in output, although they may still be increasing in absolute terms. Eventually, investment will pick back up. When the growth of output exceeds the growth in productivity by more than the growth of the labor force, the employment rate will increase.

Clearly, this model can reproduce a qualitative resemblance to some empirical properties of some economic time series. If one plots empirical data in the illustrated phase space, one may see a suggestion of motion in the indicated directions, but one will not find a single cycle. Perhaps shocks change the parameters of the model on some occasions. Or perhaps important considerations are not embodied in the model. This model is Classical in important respects, where I mean by "Classical" to refer to the economics of Smith and Ricardo. Richard Goodwin, the inventor of this model, has done important work attempting to integrate this model with Keynesian and Schumpeterian themes.

References
There was a conference in Sienna a number of years back devoted to this model. There's also discussion of this model in a Festschrift volume devoted to Richard Goodwin.
  • Richard Goodwin, "A Growth Cycle," in Socialism, Capitalism, & Economic Growth: Essays Presented to Maurice Dobb, (edited by C. H. Feinstein), Cambridge University Press, 1967.
  • Richard Goodwin, Chaotic Economic Dynamics, Oxford University Press, 1990.
  • Paul Ormerod, The Death of Economics, St. Martins, 1994.


Update: Serena Sordi has a recent generalization of this model to four dimensions, presented at a sort of festschrift for Barkley Rosser, Jr.

Saturday, October 04, 2008

Economists as Liars

Robert Waldmann makes some strong statements:
"...The conclusions of economic theory as presented by many or perhaps most economists do not follow from current economic theory, but rather from the 50 year old efforts at mathematical economic theory...

The problem is, I think, that when they talk to non economists, many economists pretend that traditional economic theory is a good approximation to reality. By 'traditional' I mean 50 year old. The fact that the conclusions are the result of strong assumptions made for tractability and are known to not hold without these assumptions is irrelevant...

...Once a model has been put in textbooks, it becomes immortal invulnerable not only to the data (which can prove it is not a true statement about the world but no one ever thought it was) but also to further theoretical analysis...

...I think the worse problem is that economists who are also libertarian ideologues are lying about the current state of economic theory, not only its very weak scientific standing, but the fact that, even if it were all absolutely true, their policy recommendations do not at all follow from current economic theory..." -- Robert Waldmann
Read the whole thing. (Hat tip to Ezra Klein)

Update: Having now read Mark Buchanan's New York Times editorial, I'm not at all sure I agree with Robert Waldmann in aspects of his post not quoted above. Buchanan is arguing for an agent-based modelling, out-of-equilibrium, econophysics approach. Buchanan maybe overstates the contrast between his approach and most mainstream economics, but Waldmann's post contains an element of boundary-patrolling anyways.

Tuesday, September 30, 2008

Current Affairs

I may have something more to say in the coming weeks. But I thought I should note some of what the Post Keynesian economist Paul Davidson has to say about the subprime mortage crisis:

Saturday, September 27, 2008

The Oneida Community: A 19th Century Commune

Figure 1: One View of The Mansion House

Figure 2: Another View of The Mansion House

Figure 3: Crafts On Display Inside Mansion House


Figure 4: Library Inside Mansion House


Figure 5: The Factory in Which Oneida Siver Was Manufactured

Figure 6: Another View of the Factory

Figure 7: Local Park Named After John Humphrey Noyes

Thursday, September 25, 2008

"Malinvestment" in Ron Paul's Vocabulary

Ron Paul outlines mistaken Austrian Business Cycle theory:
"These governmental measures, combined with the Federal Reserve's loose monetary policy, led to an unsustainable housing boom. The key measure by which the Fed caused this boom was through the manipulation of interest rates, and the open market operations that accompany this lowering.

When interest rates are lowered to below what the market rate would normally be, as the Federal Reserve has done numerous times throughout this decade, it becomes much cheaper to borrow money. Longer-term and more capital-intensive projects, projects that would be unprofitable at a high interest rate, suddenly become profitable.

Because the boom comes about from an increase in the supply of money and not from demand from consumers, the result is malinvestment, a misallocation of resources into sectors in which there is insufficient demand.

In this case, this manifested itself in overbuilding in real estate. When builders realize they have overbuilt and have too many houses to sell, too many apartments to rent, or too much commercial real estate to lease, they seek to recoup as much of their money as possible, even if it means lowering prices drastically." -- Ron Paul, 23 September 2008
(As an aside, I am aware of some discussion on the community forums at mises.org of some version of my article.)

Barack Obama has also already gone into more technical detail, on another topic entirely, than I expect from presidental candidates. Last year at Google, Eric Schmidt asked him for "the most efficient way to sort a million 32-bit integers." Obama said, "The Bubble Sort would be the wrong way to go."

Sunday, September 21, 2008

Conservatives As Cowards

The news reports a new scientific study showing that conservatives startle easier than liberals. This study was by John Hibbing, in the Political Science Department at the University of Nebraska at Lincoln, and others. Michael Greinecker has a more complete citation.

This is not an isolated study. Here's the abstract of another:
"Political scientists and psychologists have noted that, on average, conservatives show more structured and persistent cognitive styles, whereas liberals are more responsive to informational complexity, ambiguity and novelty. We tested the hypothesis that these profiles relate to differences in general neurocognitive functioning using event-related potentials, and found that greater liberalism was associated with stronger conflict-related anterior cingulate activity, suggesting greater neurocognitive sensitivity to cues for altering a habitual response pattern." -- David M. Amodio, John T. Jost, Sarah L. Master, and Cindy M. Lee (2007) "Neurocognitive Correlates of Liberalism and Conservatism" Nature Neuroscience, published online 9 September
And another:
"Analyzing political conservatism as motivated social cognition integrates theories of personality (authoritarianism, dogmatism—intolerance of ambiguity), epistemic and existential needs (for closure, regulatory focus, terror management), and ideological rationalization (social dominance, system justification). A meta-analysis (88 samples, 12 countries, 22,818 cases)confirms that several psychological variables predict political conservatism: death anxiety (weighted mean r = .50); system instability (.47); dogmatism—intolerance of ambiguity (.34); openness to experience (—.32); uncertainty tolerance (—.27); needs for order, structure, and closure (.26); integrative complexity (—.20); fear of threat and loss (.18); and self-esteem (—.09). The core ideology of conservatism stresses resistance to change and justification of inequality and is motivated by needs that vary situationally and dispositionally to manage uncertainty and threat." -- John J. Jost, Jack Glaser, Arie W. Kruglanski, and Frank J. Sulloway (2003) "Political Conservatism as Motivated Social Cognition", Psychological Bulletin, V. 129, N. 3: 339-375

Saturday, September 20, 2008

Stigler On Neoclassical Economics

How economists perceive neoclassical economics may not be constant through time. Here is Stigler using the label in 1941:
"The basis of evaluation in this work is that body of contemporary theory which is given the nebulous description, neo-classical economics. This theoretical corpus stems directly from Marshall, but it has gained much in rigor at the hands of Walras, Wicksteed, and Edgeworth, and more recently the theory has been advanced by a host of economists too numerous even to mention. There is no unanimity regarding 'neo-classical' theory, but on the other hand, the divergences of opinion between competent students are certainly less than at any time since Mill. This statement is somewhat circular, it must be confessed, since a fundamental test of competence is the comprehension and acceptance of this theoretical system." -- George J. Stigler (1941), Production and Distribution Theories: The Formative Period, MacMillan, p. 8
"William Stanley Jevons is the forerunner of neo-classical economics. He did not so much depart from as supplement the classical theory, although the hasty lecteur can easily secure a contrary impression. Jevons, indeed, considered his theory to be revolutionary; he gave an impetus to and enthusiastic statement of the utility theory of value; 'his belief that all evil economic influences were incarnate in John Stuart Mill' is well known; and his mathematical mode of exposition was calculated to emphasize his apparent opposition to classical theory. But his theory of production and distribution ... is fundamentally classical. An indication of the orthodox nature of his approach is suggested by the fact that both Marshall and Edgeworth accepted his wage theory in toto." -- ibid., p. 13
My notes say I should find a passage using the label somewhere around page 266, in Stigler’s chapter on Wicksell. I don’t see this.
"[John Bates] Clark independently discovered both the marginal utility and the marginal productivity theories. He is best known, of course, for his exposition of the marginal productivity theory; it is indicative that, even at present, many continental economists consider Clark’s theory to be the marginal productivity theory. His chief task, indeed, was that of popularization – a task that was filled with appropriate detail, emphasis, and lucidity.

On the other hand, Clark performed one function for which economics has less cause for gratitude. In all of his major works, although perhaps to a decreasing extent through time, he introduced what has been called a ‘naïve productivity ethics’ – his marginal productivity theory contained a prescription as well as an analysis. The dubious merits of this ethical system need not concern us, but it is a cause for regret that Clark’s exposition, more than that of any other eminent contemporary economist, afforded some grounds for the popular and superficial allegation that neo-classical economics was essentially an apologetic for the existing economic order. Clark was a made-to-order foil for the diatribes of a Veblen." -- ibid., p. 297

Wednesday, September 17, 2008

Empirical Applications of Marxism - A Reading List

I've decided that if I want use data from the National Income and Products Account (NIPA) to explore Marxist and Sraffian economics, I need a more detailed understanding. I should read, sometimes again, at least these references, which are mostly Marxist:
  • Applications
    • Cockshott, W. Paul and A. F. Cottrell (1997) "Labour Time versus Alternative Value Bases: A Research Note," Cambridge Journal of Economics, Volume 21, Number 4, p. 545.
    • Cockshott, W. Paul and Allin Cottrell (2003) "A Note on the Organic Composition of Capital and Profit Rates", Cambridge Journal of Economics, V. 27: 749-754.
    • Cockshott, W. Paul and Allin Cottrell (2005) "Robust Correlations Between Prices and Labour Values: A Comment", Cambridge Journal of Economics, V. 29: 309-316
    • Han, Z. and B. Schefold (2003). "An Empirical Investigation of Paradoxes: Reswitching and Reverse Capital Deepening in Capital Theory", Cambridge Journal of Economics, V. 30: 737-765.
    • Izyumov, Alexei and Sofia Alterman (2005) "The General Rate of Profit in a New Market Economy: Conceptual Issues and Estimates", Review of Radical Political Economics, V. 37, N. 4 (Fall): 476-493.
    • Kliman, Andrew J. (2002) "The Law of Value and Laws of Statistics: Sectoral Values and Prices in the US Economy, 1977-97", Cambridge Journal of Economics, V. 26: 299-311
    • Kliman, Andrew J. (2005) "Reply to Cockshott and Cottrell", Cambridge Journal of Economics, V. 29: 317-323
    • Mohun (2005) "On Measuring the Wealth of Nations: the US Economy, 1964-2001",Cambridge Journal of Economics, V. 29: 799-815
    • Mohun (2006) "Distributive Shares in the US Economy, 1964-2001",Cambridge Journal of Economics, V. 30: 347-370
    • Moseley, Fred (1988) "The Rate of Surplus Value, The Organic Composition, and the General Rate of Profit in the U.S. Economy, 1947-67: A Critique and Update of Wolff's Estimates", American Economic Review, V. 78, N. 1 (March): 298-303
    • Ochoa, Edward M. (1989) "Values, Prices, and Wage-Profit Curves in the U. S. Economy" Cambridge Journal of Economics, V. 13, No. 3, September 1989, pp. 413-429.
    • Petrovic, P. (1991) "Shape of a Wage-Profit Curve, Some Methodology and Empirical Evidence", Metroeconomica, V. 42, N. 2: 93-112.
    • Podkaminer, Leon (2005) "A Note on the Statistical Verification of Marx: Comment on Cockshott and Cottrell", Cambridge Journal of Economics, V. 29: 657-658
    • Shaikh, Anwar (1984) "The Transformation from Marx to Sraffa", in Ricardo, Marx, Sraffa (Edited by E. Mandel and A. Freeman), Verso
    • Shaikh, Anwar M. and E. Ahmet Tonak (1994) Measuring the Wealth of Nations: The Political Economy of National Accounts, Cambridge University Press
    • Venida, Victor S. (2007) "Marxian Categories Empirically Estimated: The Philippines, 1961- 1994", Review of Radical Political Economics, V. 39, N. 1 (Winter): 58-79.
    • Weisskopf, Thomas E. (1979) "Marxian Crisis Theory and the Rate of Profit in the Postwar U.S. Economy", Cambridge Journal of Economics, V. 3 (December): 341-378
    • Weisskopf, Thomas E. (1979) "Marxian Crisis Theory and the Rate of Profit in the Postwar U.S. Economy", Cambridge Journal of Economics, V. 3 (December): 341-378
    • Wolff, Edward N. (1979) "The Rate of Surplus Value, The Organic Composition, and the General Rate of Profit in the U.S. Economy, 1947-67", American Economic Review, V. 69, N. 3 (June): 329-341
    • Wolff, Edward N. (1988) "The Rate of Surplus Value, The Organic Composition, and the General Rate of Profit in the U.S. Economy, 1947-67: Reply", American Economic Review, V. 78, N. 1 (March): 304-306
  • Methodology
    • Pasinetti, Luigi L. (1973) "The Notion of Vertical Integration in Economic Analysis", Metroeconomica, V. 25: 1-29.
    • Pasinetti, Luigi L. (1977) Lectures on the Theory of Production, Columbia University Press
    • Raa, Thijs Ten (2005) The Economics of Input-Output Analysis, Cambridge University Press
    • Steedman, I. and J. Tomkins (1998) "On Measuring the Deviation of Prices from Values", Cambridge Journal of Economics, V. 22: 379-385

Tuesday, September 16, 2008

The Wage As The Independent Variable

1.0 Introduction
Piero Sraffa, in his critique of neoclassical theory, described a system of prices in which capitalist earn the same rate of profits in every industry. One can derive, in the pure circulating-capital version of this system, a trade-off between wages and the rate of profits.

The shape of this wage-rate of profits curve depends on the (possibly composite) commodity chosen for the numeraire. It is a straight line when Sraffa's standard commodity is used for the numeraire. If the wage-rate of profits curve were a straight line for all other numeraires, the labor theory of value would be be exactly true as a theory of relative prices, abstracting from deviations between market prices and prices of production and from the theory of joint production. This theorem of mathematical economics raises an empirical question. How far does the wage-rate of profits curve vary from a straight line for various numeraires?

P. Petrovic ("Shape of a Wage-Profit Curve, Some Methodology and Empirical Evidence", Metroeconomica, V. 42, N. 2 (1991): pp. 93-112) explored this question for 1976 and 1978 data from Yugoslavia. Petrovic found that the empirical wage-rate of profits curve never deviated much from a straight line, no matter what numeraire was chosen.

I was only able to partially replicate Petrovic's results with 2005 USA data. The 2005 USA wage-rate of profits curve drawn with a numeraire in the proportions of net output is indeed quite close to a straight line. But the 2005 USA wage-rate of profits curve can be quite convex or quite concave, depending on the choice of the numeraire. My methodology differed from Petrovic's in that I introduced a normalization of the numeraire quantity to fix the maximum wage at unity for each numeraire.

My estimate of the rate of profits in the USA is higher than I expected. I am beginning to think that my approach is too simple. Perhaps I need to account for depreciation, fixed capital, and the distinction between productive and unproductive labor. I may post more analyses in this series before revisiting my past results.

2.0 Derivation of the Wage-Rate of Profits Curve
Consider an economy in which each of n commodities are produced from labor and inputs of those n commodities. Let a0, j be the person-years of labor used in producing one unit of the jth commodity. Let ai, j be the physical units of the ith commodity used in producing one unit of the jth commodity. The direct labor coefficients are elements of the n-element row vector a0. The remaining input-output coefficients are the entries in the nxn Leontief input-output matrix A, which is assumed to satisfy the Hawkins-Simon condition.

The Sraffa prices equations, in which wages are paid out of the surplus, are:
p A (1 + r) + a0 w = p
where p is a row vector of prices, w is the wage, and r is the rate of profits. After some manipulation, one has:
a0 [ I - A (1 + r)]-1 w = p
The Hawkins-Simon conditions guarantees the existence of the matrix inverse for rates of profits between zero and some maximum rate of profits. Let e be a column matrix representing the numeraire. Multiply on the right by the numeraire:
a0 [ I - A (1 + r)]-1 e w = p e = 1
The wage-rate of profits curve is then:
w = 1/(a0 [ I - A (1 + r)]-1 e)

3.0 Empirical Results

Figure 1 shows the range of convexities, depending on the numeraire, of the wage-rate of profits curve in the USA in 2005. The straight-line wage-rate of profits curve is constructed using Sraffa's standard commodity as the numeraire.
Figure 1: Wage-Rate Of Profits Curve For Selected Numeraires

I examined a numeraire for each of the 65 industries in the 2005 Use Table. The numeraire corresponding to each industry consists solely of the output of that industry; the output of all other industries is zero in this non-composite numeraire commodity. The quantity of the selected numeraire commodity is set to ensure the maximum wage, corresponding to a rate of profits of zero, is unity. In other words, the numeraire quantity is normalized such that its embodied labor value is one thousand person-years, the unit in which the BEA measures labor.

Figure 1 shows wage-rate of profits curves for two of these 65 numeraires. The wage-rate of profits curve for the numeraire consisting solely of output of Warehousing and Storage industry has the highest positive displacement from the straight-line wage-rate of profits curve. The wage-rate of profits curve for the numeraire consisting solely of output of the Petroleum and Coal Products industry is the furthest below the straight-line wage rate-of profits curves. The wages-rate of profits curves for all other numeraires are closer to the straight-line wage-rate of profits curve.

The remaining wage-rate of profits curve shown in Figure is drawn for a numeraire in the proportions of positive quantities in the net output (final demand) quantities in the 2005 Use Table. (Final demand quantities are net of the circulating capital goods replaced out of gross output; they still include, however, depreciation charges against fixed capital.) Among the components of final demand, imports and nondefense consumption expenditures from the Federal government can be negative. Thus, the final demand for the output of an industry can be negative, if, for example, more of that industry's output is imported than exported. The following industries have negative quantities in final demand:
  • Forestry, fishing, and related activities
  • Oil and gas extraction
  • Wood products
  • Nonmetallic mineral products
  • Primary metals

Finally, Figure 1 shows a point for the year 2005. Wages, in numeraire units, are calculated from data on employee compensation, full time equivalent employees, and net output. The data on full time equivalent employees is included with data on gross output and was used to calculate labor values. I did not make any correction here for negative quantities in final demand. Compensation of employees is a component in Value Added in the Use Table. The other two components of Value Added are Taxes on production and imports, less subsubsidies and Gross operating surplus. The actual wage is 0.575 of the net output of a thousand person-years. The corresponding rate of profits is 53.3%. The wage, when net output is used as the numeraire lies 0.0766 numeraire units above the straight line wage-rate of profits curve, close to the maximum difference along these two curves of 0.0773 numeraire units.

Theoretically, the wage-rate of profits curve for numeraires other than the standard commodity can be of any convexity. Furthermore, the convexity can differ over different ranges of the rate of profits. One might find surprising how close the wage-rate of profits curve is to a straight line when net output is chosen as a numeraire. The rate of profits can be increased by an increase in productivity, which moves the wage-rate of profits curve outward. The rate of profits can also be increased by a decrease in the wage, that is, by increasing the exploitation of the workers.

Sunday, September 14, 2008

Rejection By Review Of Political Economy

Rejection Letter By Steven Pressman
Dear Robert,

I have now received back two referee reports on your paper "Some Capital-Theoretic Fallacies of Austrian Economics". Unfortunately, neither of the referees liked your paper and both recommended that I reject the paper.

Given the two reports, I have no choice but to turn down your paper. Enclosed are the comments that I received from my referees. I hope that they are helpful to you in revising this piece and getting it published elsewhere.

Best wishes, Steve

One Referee Report
This paper revisits the Cambridge Capital Controversies (CCC) by presenting an internal critique of "Hayekian triangles" illustrating the existence of reswitching in Austrian capital theory and its importance for Austrian Business Cycle Theory (ABCT). On the basis of this criticism, it declares ABCT to be inadequate and in need of serious revision, if not outright rejection.

The strengths of this paper are that it revisits an important victory of early Post Keynesian/NeoRicardian economics and illustrates that the points raised then have not been addressed by recent Austrian writings on ABCT, even by some smart and well-read people, such as Roger Garrison. In the second half of the paper (starting page 10), the author goes on to give a capable demonstration of this failure, and (briefly) argues that the tired old defense that "no actual instances" of capital-reversing "have ever been identified" is an inadequate response -- theoretically or empirically. That these errors are still made by Austrian (and I might add Neoclassical) economists suggests that the lessons of the CCC remain unlearned. For this reason there is indeed value in raising these points again (As an aside, I would venture that only one or two of my economist colleagues could even tell you what the CCC was, much less recount its importance for the Neoclassical theory of income distribution, but I digress).

My problems with the paper are three-fold. First, I found the introduction both too lengthy and not lengthy enough. This is indeed a paradox, so let me explain. While I have not done so lately, I once spent a great deal of time reading and teaching the Reswitching literature, and I found this lengthy review to be somewhat hard to follow. The reason is that it was (as the author admits) rather one-sided, but consequently it seemed to jump from point to point. But, simultaneously, these ten pages were also too brief and too abstract to inform someone who has only a passing acquaintance with the issue and its most important debates and findings. As a consequence, these less informed readers might be inclined to "turn the page." My point is that the introductory material was too short to satisfy those of us who know this literature and would like a review, but too long to help someone understand it if they do not already know it. My suggestion would be to cut out much of the first half and simply start with Section 3 (page 10) and position the paper as a "Research Note", and simply reintroduce it as a more narrow contribution, for example a critique of Roger Garrison or Hayek. Those interested will jump in, those who are not will skip over it, but the fairly unproductive first half can then be reduced to some references to the core literature (Harcourt or Garegnani, etc.)

Second, I found the algebraic examples to be, I believe, overly difficult to follow. Why were the units expressed in 49ths? That is a hard number with which to conduct long division in one's head! This presents a barrier to a reader who wishes to puzzle through the examples in the Tables. Was there a rationale for this choice? If so, please state it. If not, please simplify the treatment so as to invite the reader to follow the narrative and better learn from the examples.

Third, and perhaps most distressingly, I am not convinced that the overall presentation is all that original. Perhaps I am misinformed in surmising this, and I am willing to be corrected. But I must confess that I did not get the sense that this paper showed me a new angle or insight on the reswitching theorem or its implications. Now, that does not in itself doom this paper, but I do think that it means that it needs to be "repackaged", perhaps along the lines suggested above in my first criticism -- that is to say as a narrower and more specific project, without the lengthy preamble, and making a simple and direct critique of recent Austrian writings on Capital Theory and the ABCT.

Other Referee Report
The paper attempts to show by counterexample that Austrian Business Cycle theory is false. The counterexample is a model in which the interest rate is exogenous and marginal adjustments in response to the interest rate are impossible by assumption. The paper reaches its climax when the author shows that an important remark of Austrian economist Roger Garrison does not hold in the paper's model economy. Garrison's remark is:
"In response to a policy-induced reduction of the interest rate, one leg of the triangle (measuring the stage dimension of the structure of production) lengthens; the other leg (measuring the final output of the production process) shortens. The forced saving, i.e. the reduced output of consumption goods allows for expansion of the early stages of production. This is pure malinvestment."

Garrison could be wrong. But the context for the remark is an economy in which the interest rate is endogenous and marginal adjustments in response to the interest rate are possible. It is legitimate to restrict one's attention to two discrete techniques for an individual enterprise and ask which is preferred under different assumed interest rates. That exercise reveals the theoretical possibility of re- switching. But it is not legitimate to force Garrison's discussion of malivestment into that box.

I couldn't understand the author's model economy. Table 2 was a complete mystery to me. It is true that if iron and steel produce iron and steel, then it is not so clear what "order of good" means. But I cannot understand how the author divides his two output into (apparently) and infinite rank of orders.

The Austrians insist that "waiting" has two dimensions, time and money. He (she or they) even quote Hayek saying as much way back in 1941. I don't see that Austrian notion reflected in the paper's analysis, however. As well as I can make out, Cohen and Harcourt's toss off remark that Yeager didn't know what he was talking about is taken to settle the issue.

I think the Austrians are far more vulnerable on capital theory that they recognize. Thus, I would welcome a strong challenge to Austrian capital theory. If a strong challenge was mounted in this essay, it was beyond my ability to grasp it.