Thursday, July 30, 2009
The Importance of Fellow Travelers
Monday, July 27, 2009
Formalizing Ordinal Utility
I’ve tried to make an attempt to formalize the Austrian notion of utility. This seems to be a praxeologically sound formalization which does not imply that mathematics can be used in economic theory. This formulation does not state that utility functions are continuous or differentiable, so forming a Walrasian system with them would be nearly impossible. Nevertheless, it is at least an interesting exercise. Feel free to critique it:
The good’s first unit will satisfy the most important end, the second unit will indulge the next most important, the third unit will tend to the third most important, and so on. Thus we get a set of ends E = ( e1, e2, e3, . . . ,ei) with the following property: For all e1, e2, in E, ej, is preferred to ei, if and only if i < style="">X = (x1, x2, . . . xi, . . . ) be a set where x, denotes the number of units of good x at a consumer’s disposal. Let xj > xi, if and only if j > i. Define a marginal utility function f: X --> R+ such that f(xi) > f(xj) if and only if xi, < xj. This is a result of the fact that a consumer will utilize additional units of good x to satisfy sequentially less important goals. f is thus a decreasing marginal utility function on X . To show that marginal utility is ordinal, let S = (f, g, . . .) be the set of all functions on X defined as above. Then for all f, g in S, and for all xi, xj in X, f(xi) > f(xj) implies g(xi) > g(xj). S is consequently an ordinal measure of marginal utility.
Friday, July 24, 2009
Subjectivism and Traditional Austrian Business Cycle Theory: Could They Be Incompatible?
-Roger Koppl
This is an interesting point, although I’m not sure whether I entirely agree with it. However, if this dichotomy of subjective entrepreneurial plans and objective physical capital really cannot be bridged, I think that I would have to take the side of subjectivism.
After giving more thought to this, I think that we should discard the time component as a critical part of the theory. While we can say that inflation alters the number of stages of production and introduces greater uncertainty into the system, we can’t talk about the process in a uni-dimensional manner. Because of the existence of looping in the capital structure (some production processes may produce materials that later end up in that same process), the order of any production process is an entirely subjective phenomenon, existing only in the interlocking plans of entrepreneurs. Therefore, a distorted rate of interest can only be said to disfigure and warp the web of interconnected capital. Although we might be able to empirically discern more specific tendencies, given a particular capital structure, the theory itself cannot give us any more information. We need to accept that we cannot derive a satisfying business cycle theory without empirical insight.
Monday, July 20, 2009
Critical Realism: What is it and what does it have to do with economics?
You might ask: why is this so novel? In contrast to positivism, it is quite new. Positivism looks only at conjoined events of the form: A, then B. Realism attempts to look at the structure of events and denies that the prediction of such conjoined events is the purpose of science.
This is relevant to economics because this philosophy is incompatible with many forms of econometrics. If the purpose of science is to study “structures,” rather than laws, then the mainstream approach to economics is bankrupt.
Unfortunately, this philosophy is almost invariably used solely by the left, often to justify Marxism. However, Austrian economics could certainly make use of this philosophy to justify its methodological attack on the mainstream.
Andrew Collier’s book on Critical Realism would be a good place to learn about this topic, if you can ignore the Marxist ideas strewn throughout it.
Sunday, July 5, 2009
Is regret compatible with Praxeology?
One first step to deal with this problem is relaxing the standard of rational action to the Misesian notion of purposeful action. This does not solve the problem fully. In this case, we can understand the agent as having two opposing beliefs about the usefulness of their action. The agent only acts on one of these beliefs, leading to feelings of regret from the other. However, this leads to a new problem: why would an agent choose only to pay attention to an inferior belief?
Elster attempts to solve this problem by positing a rapid change in time preference of the agent during the akratic act. When the actor soberly examines his options ahead of time, he may choose X over Y. However, when confronted with the imminent choice, he chooses Y due to a rapid increase in his discount rate. This solution does not provide an answer to the deeper question of why the agent would feel regret simultaneous with the action. It seems that the only way out of this puzzle is to admit that this increased discount rate is caused by a weakness of will, perhaps due to impulsiveness. The actor knows that his choice is problematic, yet is unable to impede the force of his passions. This is not incompatible with any Misesian theory ofchoice, since praxeology makes no claims about the motivations of an action.
Wednesday, June 17, 2009
Principled Agents
This kind of approach has a fair number of problems, many of which are detailed in the RAE symposium on the book. The most obvious is that he assumes that there are people who are inherently principled and those who are not. This goes directly against Gary Becker’s belief that the best economics is done when we assume that all agents have the same utility function. Using that method, we can see how incentives affect individuals without relying on certain kinds of individuals. Put differently, if we just assume that there are certain principled politicians, we are blinded to how previously moral politicians are tempted by the new incentives of office and end up acting against the public good.
Another very important point is one that has been made by Bryan Caplan. If voters are irrational and demand public bads of their politicians, democratic failure may be a feature, not a bug. Since the information on voter preferences seems to confirm that they habitually demand policies that have detrimental effects, it is entirely possible that unprincipled politicians will craft better policies than principled ones.
Saturday, June 13, 2009
The Debate on Indifference
Suppose that the above reasoning is valid. Nozick points out that we cannot use the concept of marginal utility or other economic concepts, since these depend on a stock of homogeneous goods. The individual must be indifferent between these goods for these concepts to be valid.
Block attempts to solve the problem in a very practical way. Until the moment of choice, the individual is indifferent between the homogeneous goods in a psychological sense. At the point when he chooses, he is no longer indifferent; he picks a specific dollar to trade (even though he valued all his dollars the same previously), for example. This solves the problem, although it seems to be an ad hoc solution.
Hoppe has a more elegant solution to the problem. He says that we are not indifferent between homogeneous goods, it is just that the matter of picking a particular member of that group does not matter for human choice. For example, if I am trading loaves of bread for ounces of butter, I do not care which loaf I trade for the butter. My action shows that I prefer butter to bread, but it does not show that I am indifferent to which loaf I get rid of. The matter of which particular loaf is not relevant for human action. Hoppe gives the example of walking to a park. At the start of my walk, I must either put my left foot or right foot forward. Am I indifferent between them? No, the choice is not one I make. I make a choice of walking to the park; the foot I start with is irrelevant.