Saturday, December 05, 2009

Two Blogs Critical Of Economics

The post-autistic movement now has a blog: The Real-World Economics Review Blog.

I'm much less enthusiastic about the Counter-Economics Blog, which I stumbled over recently. Shaun Snapp claims to be applying critical thinking to economics, but he is too popular and too focused on finance for my taste. His claim that nobody reads either Adam Smith or Karl Marx is belied by the many serious scholars that do. (I've read major works by both.)

Wednesday, December 02, 2009

Herbert Gintis, Amazon Reviewer

Herb Gintis has now posted 231 reviews to Amazon. He has something to anger everybody.

Here he describes Jerry Cohen as a "supporter of virtually unsupportable Marxian doctrines" and having "studied ignorance of standard social and psychological theory."

He gives only two stars to Keen's Debunking Economics because, according to Gintis, it attacks a straw person. Mainstream economics is not as depicted by Keen, only undergraduate teaching is. "Abjectly brainless", "often just plain wrong", and "like teaching ... phlogiston and ether in physics class" are Gintis' phrases. I like how defenders of the mainstream cannot and will not defend economics as taught.

Gintis also gives only two stars to Ontology and Economics: Tony Lawson and His Critics. Basically, he disagrees that "Lawson's arguments are so powerful that few economists now feel that his case can be ignored." According to Gintis, his case can too be ignored; economists just ignore methodology. Gintis doesn't really engage the give and take in the book. I think he should have noted his agreement with John Davis's take on the openness of mainstream economics to some kinds of heterodox contributions.

I found this review of a recent George Soros book of interest. Some blame the current financial meltdown on failures of either individual or collective rationality. Gintis says that even if everybody were as rational as some (Chicago?) economists posit, market fundamentalism would still be unfounded. He bases this claim on the failure of the Arrow-Debreu model of General Equilibrium to have any attractive dynamical properties. He recommends agent-based modeling to analyze capitalist economies.

Gintis has quite a few positive reviews of rightists. For example, he gives four stars to Hazlitt's Economics in One Lesson. (Despite most of the reviews I'm highlighting, he also has some extremely positive reviews for liberals and leftists.) I think his reviews of right wing books generate more comments, and Gintis replies. (The worst are full of passionate intensity.) One review of a book that I would think is not worth reading currently has 103 comments.

In addition to politics and economics, he has also reviewed books on language, biology, and logic. I want to recall the existence of Torkel Franzen's Godel's Theorem: An Incomplete Guide to Its Use and Abuse.

Sunday, November 29, 2009

A Taxonomy Of The Effects Of Wicksell Effects

Consider a typical circulating capital model, in which commodities are produced from commodities and labor. The technique in use is described by a square Leontief input-output matrix and a vector of labor coefficients. In a long run equilibrium, in which prices are stationary, the technique is selected from a set of techniques to minimize production costs at a given interest rate. That set is known as the technology.

Suppose the composition and quantity of output is taken as given, along with the interest rate and the technology. The difference in the value of the capital goods at two different interest rates is the sum of the price Wicksell and real Wicksell effects. The price Wicksell effect is the sum of the differences in prices among the capital goods for a given technique. But the cost-minimizing technique might not be the same at two interest rates. The real Wicksell effect is the difference in the value of the capital goods for two techniques, given the price system at a one interest rate.

I want to compare the relative magnitude of price and real Wicksell effects at a given interest rate. Thus, I want to consider derivatives at a given interest rate. Therefore, suppose the technology consists of a continuum of techniques that might be eligible along the so-called factor price frontier. Table 1 shows all combinations of price and real Wicksell effects. A Wicksell effect is negative when the equilibrium at the higher interest rate has a lower value of capital, from the effects of price and quantity changes, respectively.

Table 1: Possibilities
Technology PropertyLabor
Market
Response
Capital
Market
Response
Price
Wicksell
Effects
Real
Wicksell
Effects
Higher
Wage
Lower
Interest
Rate
ANegativeNegativeLess
Employment
Increased
Value of
Capital
BNegativePositiveMore
Employment
Indeterminate
CPositiveNegativeLess
Employment
Indeterminate
DPositivePositiveMore
Employment
Decreased
Value of
Capital
EZeroNegativeLess
Employment
Increased
Value of
Capital
F?ZeroPositiveMore
Employment
Decreased
Value of
Capital
GNegativeZeroUnchanged
Employment
Increased
Value of
Capital
HPositiveZeroUnchanged
Employment
Decreased
Value of
Capital
IZeroZeroUnchanged
Employment
Unchanged
Value of
Capital

Row A in Table 1 conforms to the outdated neoclassical intuition of equilibrium prices as indices of relative scarcity. But, as Edwin Burmeister has noted, nobody knows what special case assumptions need to be imposed on technology to ensure that Wicksell effects happen to fall in any given direction.

I have the response in the capital market shown as indeterminate for rows B and C. The claim is that, for the case of a technology representable by a continuum of techniques, the price Wicksell effect can, but need not, swamp the real Wicksell effect. It is essential for this swamping to occur at a single interest rate that the technology be continuous. Pierangelo Garegnani, Heinz D. Kurz & Neri Salvadori, and Saverio M. Fratini have examples that illustrate some possibilities with a continuum of techniques.

Row E is the case of Samuelson's Surrogate Production Function. Price Wicksell effects are zero when the factor price curve for a given technique is a straight line. The question mark after the label for Row F reflects my belief that this row catalogs an impossibility. If factor price curves are straight lines along their entire length, capital-reversing cannot arise.

Rows G, H, and I are cases in which the real Wicksell effect is zero. The real Wicksell effect is zero in the discrete case when the factor price curves are tangent at a switch point. I'm not sure how this extends to the continuous case, in which all points along the factor price frontier are non-switching points. If the Row I case is possible, the technique is not determined by the location of the corresponding factor price curve. I think this may be so for non-straight line factor price curves, but I'm unsure about this case.

These remarks suggest a research program. First, demonstrate that no possibilities exist that are not listed in Table 1. This would seem to be obvious. But I don't understand Andreu Mas-Colell's paper "Capital Theory Paradoxes: Anything Goes" (in Joan Robinson and Modern Economic Theory (ed. by G. Feiwel) (1989)). He shows some multi-valued relations where I would expect functions. Second, for those rows that are impossible in Table 1, demonstrate this impossibility. Third, for each possible row, construct a numeric example. For rows B and C, one should construct at least two examples, one for each direction of the capital market response. I suppose a third example, in which price and real Wicksell effects are exactly matched in magnitude would be amusing. Much of this research would be non-original; many components are in the literature.

Sunday, November 22, 2009

Nietzsche On The Individual As A Society

I have previously noted the problems for utility theory created by the application of Arrow's impossibility theorem to a single individual. And I had quoted a number of classic authors who wrote of themselves as being composed of more than one mind. Here's another:
"'Freedom of the will' - that is the expression for the complex state of delight of the person exercising volition, who commands and at the same time identifies himself with the executor of the order - who, as such, enjoys also the triumph over obstacles, but thinks within himself that it was really his will itself that overcame them. In this way the person exercising volition adds the feelings of delight of his successful executive instruments, the useful 'underwills' or undersouls - indeed our body is but a social structure composed of many souls - to his feelings of delight as commander. L'effet c'est moi. What happens here is what happens in every well-constructed and happy commonwealth; namely, the governing class identifies itself with the successes of the commonwealth. In all willing it is absolutely a question of commanding and obeying, on the basis, as already said, of a social structure composed of many 'souls'." -- Friedrich Nietzsche, Beyond Good and Evil: Prelude to a Philosophy of the Future (Kaufmann translation), paragraph 19
By the way, the idea of modeling an individual choice with a structure underlying the textbook treatment of preferences over the elements of a linear space of commodities is not necessarily non-mainstream. I cannot say I know much about the relevant literature. However, I stumbled over an example - a paper, "Multiple Temptations", from John E. Stovall, a graduate student at the University of Rochester.

Wednesday, November 18, 2009

An Indeterminate Two-Person Zero-Sum Game With Perfect Information

1.0 Introduction
I have stumbled upon some odd mathematics, some mathematics that I have not validated. Consider the claim that all two-person zero-sum games with perfect information have a value. Apparently, this claim is inconsistent with the Axiom of Choice, an axiom in set theory. This inconsistency is shown by the Banach-Mazur game and its variants. I guess it is essential to this demonstration that these games have a potentially countable infinite number of moves.

I don't know that this demonstration is as important for economics as, for instance, W. F. Lucas' example of a cooperative game without an equilibrium.

A game has perfect information if the results of all moves prior to any given move are known to all players. Simple examples of games with imperfect information are card games in which the deal gives a player a hand which only he knows. A two-person zero-sum game is determinate if one can prove either (1) the first player wins some definite amount, (2) the second player wins some definite amount, or (3) the game is a draw. Chess is a determinate game, although it is in practice impossible to expand the tree enough to determine its value.

2.0 A Game
I steal this example from a Usenet post by Herman Rubin.

The game is fully specified by the rules and by defining a set C, where C is a given subset of the real numbers between 0 and 1, inclusive. The two players alternatively select the successive binary digits of the base-two expansion of a number within the interval [0, 1].

In other words, consider the number:

(1/2) x1 + (1/4) x2 + (1/8) x3 + (1/16) x4 + ...
where, for all i, xi is in {0, 1}. The first player chooses the binary digits with the odd indices, and the second player chooses the binary digits with the even indices. But they take turns and go in order.

The game ends with the second player paying the first player a unit when it is guaranteed that any further expansion will result in a number within C. The game ends with the second player winning a unit payment from the first player when it is guaranteed that any further expansion will result in a number in the complement of C.

A simple example is C = [0.5, 1]. The first player wins in this case. A more complicated game arises when C is the set of all irrational numbers in the unit interval. I gather this game is determinate, but I don't see offhand who wins. Finally, consider a set C that does not have a Lebesque measure. (The Axiom of Choice is necessary for the definition of such a set.) I gather that in this case, the game is not determinate. Nobody can tell a priori who will win.

Sunday, November 15, 2009

Lee Boldeman's Critique From Australia

Lee Boldeman's book, The Cult of the Market: Economic Fundamentalism and its Discontents is available in PDF. Boldeman does report some internal critiques of orthodox economics, such as Lipsey and Lancaster's theory of the second best. But, without having read the whole book yet, his perspective seems to be more about emphasizing an external critique of methodological individualism. Individuals are embedded in society. Boldeman says he wrote his book because he didn't know of another that covered what he wanted to say. I think his approach parallels Stephen Marglin's The Dismal Science: How Thinking Like an Economist Undermines Community. If Boldeman had read Marglin, he might still have wanted to write, since Marglin doesn't address the context of Australian public policy. Catholics in classes taught by the soon-to-be-gone department at Notre Dame would probably find Boldeman's book at interest.

Thursday, November 12, 2009

"And A Whole Generation Were Butchered And Damned"

"I spent the evening walking around the streets, especially in the neighborhood of Trafalgar Square, noticing cheering crowds and making myself sensitive to the emotions of passers-by. During this and the following days, I discovered to my amazement that average men and women were delighted at the prospect of war. I had fondly imagined what most pacifists contended, that wars were forced upon a reluctant population by despotic and Machiavellian governments. I had noticed during previous years how carefully Sir Edward Grey lied in order to prevent the public from knowing the methods by which he was committing us to the support of France in the event of war. I naively imagined that when the public discovered how he had lied to them, they would be annoyed; instead of which, they were grateful to him for having spared them the moral responsibility." -- Bertrand Russell, The Autobiography of Bertrand Russell: The Middle Years: 1914-1944

Monday, November 09, 2009

Back Issues of Methodus Available On-Line

I've just discovered the International Network for Economic Method (INEM). They publish the Journal of Economic Methodology. This journal replaced Methodus, INEM's bulletin. Back issues of Methodus are freely available. I've barely begun sampling what's here - for example, a 1992 Geoff Harcourt comment on political economy or a 1991 Kevin Hoover review of Mirowski's More Heat Than Light.

Friday, November 06, 2009

Error Built Upon Error

This inspired the picture below. Of course, I have more in soft-copy.
My Dead Tree Austrian Library

Sunday, November 01, 2009

Nicholas Georgescu-Roegen

I find Nicholas Georgescu-Roegen an intriguing economist. He discovered the non-substitution theorem and, apparently, the Hawkins-Simon condition.

Georgescu-Roegen developed a critique of neoclassical production functions. He argued that it applied to Leontief input-output theory too. This critique relies on distinctions among fund, flow, stock, and service. Funds are unchanged in the production process, while flows are altered. A stock is a productive input that can be used to generate flows at any rate, while a fund can generate services up to some maximum rate. In Sraffa's approach, land, I guess, is modeled as a fund. In artisan production, funds are idle most of the time, while a factory keeps their funds in use by having many laborers work slightly out of parallel. Georgescu-Roegen argued that production functions should be replaced with functionals, in which the arguments show the use of factors as functions of time.

Georgescu-Roegen accused other economists, such as Robert Solow, of ignoring the increased entropy that production causes. Usable mineral resources are finite. Georgescu-Roegen formulated what he called the fourth law of thermodynamics, which says that available matter decreases. Waste products become scattered and unusable.

He also made a distinction between what he called arithmomorphic and dialectic concepts. Arithmomorphic concepts are suitable for mathematical reasoning. Dialetic concepts are distinct but overlapping, and they are suitable for qualitative reasoning, as appropriate for a good understanding of economic development.

Georgescu-Roegen's analysis included a system of energy accounting, without accepting an energy theory of value. As forerunners, he mentions, for example, Frederick Soddy. (Soddy, apparently a Nobel laureate for discovering the existence of isotopes, called his economic philosophy ergosophy.)

Georgescu-Roegen's policy conclusions focused on converting socities to ones in which their economies were sustainable, with a concomitant smaller population in what are now considered advanced countries.

I don't think I've done justice to the subtlety and insightfulness of Georgescu-Roegen's contributions to economics with these scattered observations.

References
  • Nicholas Georgescu-Roegen (1986) "Man and Production", in Foundations of Economics: Structures of Inquiry and Economic Theory (Ed. by M. Baranzini and R. Scazzieri) Basil Blackwell
  • John Gowdy and Susan Mesner (1998) "The Evolution of Georgescu-Roegen's Bioeconomics" Review of Social Economy, V. 56, N. 2 (Summer)
  • Eberhard K. Seifert (1994) "Georgescu-Roegen, Nicholas", in The Elgar Companion to Institutional and Evolutionary Economics (Ed. by G. M. Hodgson, W. J. Samuels, and M. R. Tool), Edward Elgar

Friday, October 30, 2009

A Neoricardian Model of International Trade

Hoisted from comments of October 28:
"Your interest has much in common with my research field. I am a Sraffian and works in the field of international trade theory.

You have cited several times Steedman and Metcalfe. They have worked on the open small country case. As a trade theory, this is not general enough. It cannot analyse the South-North problem, to cite an obvious example. The Ricardian trade theory should be extended to the many country case with the traded commodities across countries. As Sraffa named his major work Productions of commodities by means of commodities, the production is circular in its character and cannot be arranged linearly as it is assumed in the Austrian tradition. Heckscher-Ohlin theory also assumes this linearity, starting with the endowed production factors, then sometimes intermediates goods and final goods. This is completely inadequate as production structure. But the task to develop a trade theory with this circular structure is quite hard. Steedman and Metcalfe did not succeed in this attempt. I recently found the method how to overcome this difficulty. Please look into my paper: A New Construction of Ricardian Trade Theory—A Many-country, Many-commodity Case with Intermediate Goods and Choice of Production Techniques" -- Yoyo_the_economist
I have not had a chance to read this paper. Based on the claims in the introduction, it does sound quite intriguing.

Monday, October 26, 2009

Energy Return On Energy Investment (EROEI)?

According to this New York Times article:
"Last week, about 50 scholars in economics, ecology, engineering and other fields met at the State University of New York's College of Environmental Science and Forestry for their second annual conference on biophysical economics. The new field shares features with ecological economics, a much more established discipline with conferences boasting hundreds of attendees...

...Central to their argument is an understanding that the survival of all living creatures is limited by the concept of energy return on investment (EROI): that any living thing or living societies can survive only so long as they are capable of getting more net energy from any activity than they expend during the performance of that activity.

For instance, if a squirrel burns energy eating nuts, those nuts had better give the squirrel more energy back then it expended, or the squirrel will inevitably die. It is a rule that lies at the core of studying animal and plant behavior, and human society should be looked at no differently, as even technologically complex societies are still governed by EROI...

...Through analyzing historical production data, experts say the petroleum sector's EROI in this country was about 100-to-1 in 1930, meaning one had to burn approximately 1 barrel of oil's worth of energy to get 100 barrels out of the ground. By the 1990s, it is thought, that number slid to less than 36-to-1, and further down to 19-to-1 by 2006..."

I haven't looked up how these scholars calculate EROEI. But it seems to me that an approximate value for EROEI is easily found from Leontief Input-Output tables, as available in, for example, the United States National Income and Product Accounts (NIPA). Consider the reciprocals, expressed as percentages, of the diagonal elements of the Leontief inverse, (I - A)-1. The NIPA express the entries in Leontief matrices in dollar terms, not the physical terms I prefer for theory. But since these percentages are pure numbers, calculated as ratios, this makes no difference.

I gather the EROEI is approximately this reciprocal for the petroleum sector. In the North American Industry Classification System (NAICS), the sector of concern is industry code 211, "Oil and Gas Extraction".

A better approximation would account for the energy embodied in the other inputs in the vertically integrated oil and gas extraction industry, that is, the corresponding column of the Leontief inverse. An even better approximation would include some concern for depreciation of fixed capital.

Saturday, October 24, 2009

On Some Rightists

Alex, the Yorkshire Ranter had some comments about "libertarians", that is, propertarians. (I've previously mentioned Alan Haworth, another Britisher I find amusing on that topic.)

I've wondered about Gavin Kennedy. I agree that it's bad history to claim Adam Smith's metaphor of the invisible hand is about allocative efficiency and clarified by the first welfare theorem. Consider:
"Yet the project of appropriating the politics of the Wealth of Nations to the consideration of the present has not lost its attractions... Examples of this proliferate. One has only to look to ...Gavin Kennedy (2005, a former Scottish Nationalist Party economics spokesperson)..." -- Murray Milgate & Shannon C. Stimson (2009) After Adam Smith: A Century of Transformation in Politics and Political Economy, Princeton University Press.

Wednesday, October 21, 2009

Ken Kesey Poster

Reading a Book
I bought the poster a bit over ten years ago. As I understand, Kesey's farm outside Eugene, Oregon, makes the label below appropriate.

Saturday, October 17, 2009

Heterodox Economics Movements I Don't Pay Much Attention To

As I understand it, each of the following had advocates around the globe in the first half of the twentieth century:
  • Georgism (I have read Progress & Poverty)
  • Silvio Gesell (Mentioned by Keynes in Chapter 23 of the General Theory)
  • Social credit (Keynes also mentions Major Douglas in Chapter 23 of the General Theory)
  • Technocracy
I gather remnants of their advocate organizations still exist. But I gather they have little representation among academic economists.

Sunday, October 11, 2009

Unemployment In A Barter Economy

"...it may be doubted whether under a system of barter the decisions of individuals would have their full effects..." - Piero Sraffa (1932)
In the General Theory, Keynes presents an argument for how widespread unemployment can come about. I think money enters in an essential way in Keynes' argument. This raises the question whether unemployment would exist if it were not for monetary phenomena.

Sraffa, in Production of Commodites by Means of Commodities, has a lot to say about numeraires, including the Standard Commodity. One can read Sraffa as making certain points about a monetary economy.

But put that reading of Sraffa aside. Instead, think of Sraffa's model as half of a limit point of a neoclassical model of general equilibrium. The other half of such a model of a steady state consists of utility maximization. This is a model of a barter economy. And steady state models can exhibit multiple equilibria, bifurcations, and catastrophes. I think these phenomena suggest the possibility of complex dynamics. Thus, even though neither general overproduction nor an uncleared labor market can arise in a long run competitive equilibrium in a barter economy, such an equilibrium may never be reached. Instead, the economy may cycle around with unemployment continually being recreated.

The idea that unemployment could be cured by making labor and product markets more flexibile is unsupported by price theory.

Thursday, October 08, 2009

Endogenous Money Supply In The Long Run

This post is not about how the United States Federal Reserve cannot control, on a day-to-day basis, the quantity of money in circulation. Rather, I consider financial innovation over time leads to the creation of new debt instruments that fall under a reasonable definition of "money".

One way of looking at money is that, under capitalism, money buys goods, and goods sell for money, but goods do not buy goods. A simple example: I understand one can write checks against a hedge fund. So hedge funds are money.

The emergence of new forms of money illustrates why no final systems of regulations can exist in a capitalist economy. Should something like the Federal Deposit Insurance Corporation be set up to guarantee these new forms of money? If so, some capital requirements, restrictions on leverage ratios, and so on would need to be instituted. Maybe some sort of firewalls, as in the Glass-Steagall act, should be rebuilt.

Sunday, October 04, 2009

Friday, October 02, 2009

Enrico Barone, The Originator Of The Socialist Calculation Argument

Arguably, socialism, when implemented with a centrally planned economy, is guaranteed to not produce a fairly high standard of living. Market prices are needed. This argument was originated by Enrico Barone:
"25. But it is frankly inconceivable that the economic determination of the technical coefficients can be made a priori, in such a way as to satisfy the condition of the minimum cost of production which is an essential condition for obtaining that maximum to which we have referred. The economic variability of the technical coefficients is certainly neglected by the collectivists; but that it is one of the most important sides of the question Pareto has already very clearly shown in one of his many ingenious contributions to the science.

The determination of the coefficients economically most advantageous can only be done in an experimental way: and not on a small scale, as could be done in a laboratory, but with experiments on a very large scale, because often the advantage of the variation has its origin precisely in a new and greater dimension of the undertaking. Experiments may be successful in the sense that they may lead to a lower cost combination of factors; or they may be unsuccessful, in which case that particular organization may not be copied and repeated and others will be preferred, which experimentally have given a better result.

The Ministry of Production could not do without these experiments for the determination of the economically most advantageous technical if it would realize the condition of the minimum cost of production which is essential for the attainment of the maximum collective welfare.

It is on this account that the equations of the equilibrium with the maximum collective welfare are not soluble a priori, on paper.

26. Some collectivist writers, bewailing the continual destruction of firms (those with higher costs) by free competition, think that the creation of enterprises to be destroyed later can be avoided and hope that with organized production it is possible to avoid the dissipation and destruction of wealth which such experiments involve, and which they believe to be the peculiar property of 'anarchist' production. Thereby these writers simply show that they have no clear idea of what production really is, and that they are not even disposed to probe a little deeper into the problem which will concern the Ministry which will be established for the purpose in the Collectivist State.

We repeat, that if the Ministry will not remain bound by the traditional technical coefficients, which would produce a destruction of wealth in another sense - in the sense that the greater wealth which could have been realized will not be realized - it has no other means of determining a priori the technical coefficients most advantageous economically, and must of necessity resort to experiments on a large scale in order to decide afterwards which are the most appropriate organizations, which it is advantageous to maintain in existence and to enlarge to obtain the collective maximum more easily, and which, on the other hand, it is best to discard as failures.

27. Conclusions. From what we have seen and demonstrated hitherto, it is obvious how fantastic those doctrines are which imagine that the production in the collectivist regime would be ordered in a manner substantially different from that of 'anarchist' production.

If the Ministry of Production proposes to obtain the collective maximum - which it obviously must, whatever law of distribution may be adopted - all the economic categories of the old regime must reappear, though maybe with other names: prices, salaries, interest, rent, profit, saving, etc..." -- Enrico Barone, translated from "The Ministry of Production in the Collectivist State" Giornale delgi Economisti (1908)