The subjective expected utility hypothesis and revealed preference

Summary A choice behavior of a decision maker is said to satisfy the subjective expected utility hypothesis if there exist a utility and a subjective probability such that a decision maker chooses acts with the highest expected utility. We present a revealed preference characterization of choice behavior that is consistent with the subjective expected utility hypothesis. Our result applies to any state space and compact sets of prizes and observations (either finite or infinite).     

Two-moment decision models and rank-dependent utility

This paper extends results on the consistency of two-moment decision models with expected utility to rank-dependent utility preferences. The representations of expected utility and rank-dependent utility by --preferences have very similar comparative statics properties for linear distribution classes, except for the behavior with respect to small independent risks.I thank Soo Hong Chew for helpful discussion and three anonymous referees for valuable comments.     

Operational Research and the environment

The discipline of Operational Research (OR) is primarily concerned with improving the effectiveness and efficiency of decision processes. These processes take place everywhere in society: industry, banking, agriculture, government, politics. Frequent use of mathematical optimization models is typical of OR. Since the early '80s these models are increasingly packaged in a user-friendly way, as Decision Support Systems. In the following we will illustrate how OR can be used to describe and solve a number of environmental problems.     

Conditional utility

Summary The motivation for this paper starts out with a decision situation under risk where the decision-maker has to choose among various lottery tickets. We will ask what happens to a person's lottery choice if he is given additional information in terms of probabilities on some states of nature which might affect his choice among lottery tickets. In other words, in evaluating his decision situation, a person should not only consider the probability of a certain prospect to be realized but also the problem how and to which extent some state(s) of nature modify the utility of this prospect. This problem has not been dealt with in Bernoullian utility theory.We state several conditions which are necessary and sufficient to treat conditional utility as Bernoullian utility. Then we show as a main result that it is possible to represent expected utility of decision acts (in Savage's terminology) by conditional expected utility of prospects which preserves well-known properties of expected utility with the exception of linearity.We give a potential application of the notion of conditional utility to the estimation of the value of information as a residual value of prior and posterior utility.     

Agency in a market setting

This paper examines a market in which a continuum of principals and agents interact in a game. Principals offer contracts while agents decide on sets of acceptable contracts. A mechanism from a class satisfying efficiency, unbiasedness, and continuity properties then matches principals and agents. With risk neutral agents, when the contribution of principals and agents to the total gains from trade in a pairing are additively separable, the equilibria of the game coincide with the competitive equilibria for the market. In particular, all contracts used in Nash equilibrium induce first-best effort levels. Both principals and agents have exogenous opportunities outside this market. In equilibrium, agents have endogenously determined outside opportunities available from employment by another principal, and this may be the binding participation constraint in a principal-agent pairing. The results are extended to special non-separable cases and to the case of identical risk averse agents.We are grateful to seminar participants at Indiana University, the University of Kentucky, and Vanderbilt University for comments on earlier versions of this work. Referees' comments led us to generalize the model and to more clearly specify the point of the paper.     

Transformation or Transmogrification? Ackerman, Hobbes (as in Calvin and Hobbes), and the Puzzle of Changing Constitutional Identity

In this article, I argue that Ackerman's approach to constitutional change is unable to distinguish between changes of degree and changes in kind, or between changes that transform and changes that transmogrify. As a consequence, the model Ackerman proposes fails at its most elemental purpose of illuminating questions of constitutional identity. Transformations fails to tell us who We the People really are or about what we are constituted.     

Robust Institutions

I propose to show how to translate the economic analysis of institutions developed in the tradition of worst case political economy into the lingua franca of robust statistics. An institution will be defined as contingent upon a design theory and the difficulty we consider is the use of the institution by the designer.The technical bridge between institutional robustness and statistical robustness is the the possibility of exploratory data analysis [EDA] with respect to the design theory. In an institutional context with EDA comes the recognition that the model is not completely specified, that we do not fully understand the structure of world before studying it. In a statistical context with EDA comes a non-normal error distribution.The relationship between evolutionary institutions and robust institutions is discussed. A conjecture that rule utilitarianism can be thought of as robust utilitarianism is defended with the historical example of William Paley's discussion of the utility of murder.     

From “tax state” to “debt state”

The paper is motivated by Joseph A. Schumpeter's The Crisis of the Tax State. It inquires whether the buildup of government debt in peacetimeprosperity is a threat to the stability, existence or creation of viable tax states. The paper begins by setting out Schumpeter's conception of the tax state and the nature of recent political-economic events which have reinvigorated the concept. Next the paper sets out some simple debt dynamics and sketches a debt-induced business cycle arising from heavy reliance on debt finance in peacetimeprosperity. Finally, the paper assesses threats to the tax state in light of recent work on path dependence and positive feedback. An attempt is made to throw some light on whether the plethora of new, and often small, states spawned by the demise of communism can be viable tax states.Essay on Government, the Tax State and Economic Dynamics submitted to the Third Schumpeter Prize Competition.     

An Austrian Theory of the Firm

The modern Theory of the Firm uses the concept of rent and makes implicit assumptions about equilibrium. An Austrian (Market Process) Theory of the Firm should have something to say about each of these. Two strategic perspectives are analyzed, the neoclassical microeconomic perspective (using the Ricardo-Marshall approach to rent) and the Market Process perspective (using the Fetter approach to rent). In a neoclassical world, rents indicate unsolved or unexploited inefficiencies as every hypothetical outcome is viewed against the standard of perfect competition. By contrast, in the Market Process world there is no single ideal standard by which to measure any particular outcome. All action takes place in an open ended universe in which the future is continually being created, in which competition is a discovery process.     

Non-computable strategies and discounted repeated games

Summary A number of authors have used formal models of computation to capture the idea of bounded rationality in repeated games. Most of this literature has used computability by a finite automaton as the standard. A conceptual difficulty with this standard is that the decision problem is not closed. That is, for every strategy implementable by an automaton, there is some best response implementable by an automaton, but there may not exist any algorithm forfinding such a best response that can be implemented by an automaton. However, such algorithms can always be implemented by a Turing machine, the most powerful formal model of computation. In this paper, we investigate whether the decision problem can be closed by adopting Turing machines as the standard of computability. The answer we offer is negative. Indeed, for a large class of discounted repeated games (including the repeated Prisoner's Dilemma) there exist strategies implementable by a Turing machine for whichno best response is implementable by a Turing machine.The work was begun while Nachbar was a visitor at The Center for Mathematical studies in Economics and Management Science at Northwestern University; he is grateful for their hospitality. We are also grateful to Robert Anderson and Neil Gretsky and to seminar audiences at UCLA for useful comments, and to the National Science Foundation and the UCLA Academic Senate Committee on Research for financial support. This paper is an outgrowth of work reported in Learning and Computability in Discounted Supergames.     

Sector-specific capital, “Bang-bang” investment,and the Filippov solution

Bang-bang investment in a two-sector growth model with immobile capital is rational and leads to a unique and globally stable long-run equilibrium along a sliding trajectory. This steady state coincides with the stationary equilibrium in the traditional model with non-sector-specific capital.This article was written while the authors were visiting scholars at Cornell University. We gratefully acknowledge financial assistance from the Erasmus University Trust Fund and the Netherlands Scientific Organization. We would like to thank, without implicating, two anonymous referees, Martijn Herrmann, Jean-Marie Viaene, Claus Weddepohl, and the participants of seminars at the University of Maryland, the University of Montreal, and Erasmus University Rotterdam for perceptive remarks and useful comments. Jeroen Hinloopen and Rien Wagenvoort provided able graphical assistance. The views expressed in this article are those of the authors and not necessarily those of the World Bank.     

Artificial worlds and economics,part II

This paper continues the discussion of artificial worlds (AWs) begun in Lane (1993b). Here, the focus is on two kinds of AWs. The first, classifier systems, can be used to represent agents that are capable of generating complex behaviors in response to intermittent rewards from an environment of which they are a part. A collection of such agents, engaging in economic interactions with one another, produces another kind of AW, in which such interesting aggregate behaviors as the formation of bubbles and crashes and technical trading in an artificial stock market, may arise. The second kind of AW considered in this paper is artificial economies. These AWs can provide a dynamic, nonequilibrium, microfounded account of such aggregate-level or macroeconomic phenomena as stable growth paths, business cycles, and Pareto firm-size distributions.     

Risk Aversion, Intergenerational Equity and Climate Change

The paper investigates a climate-economy model with an iso-elastic welfare function in which one parameter measures relative risk-aversion and a distinct parameter measures resistance to intertemporal substitution.We show both theoretically and numerically that climate policy responds differently to variations in the two parameters. In particular, we show that higher but lower leads to increase emissions control. We also argue that climate-economy models based on intertemporal expected utility maximization, i.e. models where = , may misinterpret the sensitivity of the climate policy to risk-aversion.     

The allocation of ideological structures

This article tries to make allocation in the sociology of knowledge more teachable. What may appear as a sectarian magic is transformed into a rational procedure to be used by teacher and student alike. Allocation requires a number of steps by which (1) the ideological structure is made part of an ideology; and (2) the ideology is related to a particular social situation of past or present either by reflecting it in symbolic expression or by reflecting the exact opposite.The old puzzle of how ideological relativism can be asserted from a theoretical position, which — by social background — cannot be anything but relative in itself, falls by the wayside. Temporarily positivism is claimed for any viewpoint which allows empirical verification. It asserts its relativisim but never reaches absolute and final truth. Relative advantages only can be claimed for the many comprehensive social theories at any given time.The term imputation is replaced by the term allocation in this article. Imputation is a direct translation of the German word Zurechnumg. Borrowed from economic theory, this term is unnecessarily complicated. We cannot do more than allocated ideologies in a manner not amenable to precise numerical imputation.     

A competitive general equilibrium model of technology transfer,innovation, and obsolescence

A general equilibrium production model is developed where technologies are embodied in capital goods of different vintages indexed in a continuum. A difference in the extent of existing knowledge determines a wage gap between a developed (north) and a developing region (south). With free flow of technology, relatively backward technologies move to the south. With innovation in the north, a technology cycle is created by which some of the technologies are pushed out of the north into the south. This also tends to widen the wage gap between the regions.     

Economics as mechanism: The mind as machine in Hayek's sensory order

InThe Sensory Order, Friedrich A. Hayek describes the human mind as an apparatus of classification that evolves through experience and that reaches decisions by modeling the alternative courses of action that are available to it. Hayek's mechanistic conception of mind argues aginst the possibility of central planning and against the cogency of any rule that denigrates subjective decision making by employers or other economic agents. As implied by Gödel's proof, no brain, human or mechanical, can ever be sufficiently complex to explain itself. There will therefore always be certain knowledge and rules that cannot be articulated to the satisfaction of a central planner or tribunal.     

Die fluktuation der Arbeitskräfte

Zusammenfassung Es konnten vier Typen der Fluktuation isoliert werden, die neben persönlichen Komponenten für die Fluktuation der Arbeitskräfte maßgebend sind. Ein Teil der Fluktuation geht auf das Ausprobieren des Arbeitsplatzes — angesichts der Unvollkommenheit der Information — zurück (Probe-Fluktuation). Die Wechselneigung ist daher bei Personen mit kurzer Betriebszugehörigkeitsdauer sowie jüngeren Arbeitskräften (20 bis 30 Jahre) relativ hoch.Eine weitere Form der Fluktuation ist die Reaktion der Arbeinehmer auf Unterschiede in den Nettovorteilen verschiedener Arbeitsplätze (Lohn-Fluktuation). Die Arbeitskräfte wandern per Saldo aus Niedrig- in Hochlohnbetriebe, aus Klein- in Großbetriebe und aus schrumpfenden in expandierende.Das Bestehen eines dualen Arbeitsmarktes impliziert, daß benachteiligte Arbeitskräfte (Ungeschulte mit geringem betriebsspezifischem Training) häufig kündigen, während begünstigte Arbeitskräfte (Geschulte) relativ selten wechseln (Hilfskräfte-Fluktuation). Tatsächlich ist die Wechselneigung von Ungeschulten und Arbeitern (vor allem im industriell-gewerblichen Sektor) weit überdurch-schnittlich. Die Zahl der Wechselfälle wird neben der Wechselneigung durch die alternativen Beschäftigungsmöglichkeiten bestimmt (Konjunktur-Fluktuation). Die Fluktuation schwankt so deutlich mit der Anspannung auf dem Arbeitsmarkt, daß sie als Anspannungsindikator angesehen werden kann.die Branchenunterschiede in verschiedenen Maßzahlen der Fluktuation lassen sich im wesentlichen auf die dargestellten vier Fluktuationstypen zurückführen. (Zur Messung des Arbeitsplatzwechsels empfiehlt es sich, Verbleibenswahrscheinlichkeiten der betrieblichen Zugänge und dienstalterspezifische Fluktuationsraten zu errechnen.)

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Summary There are four main features of labour turnover. A substantial part of turnover is due to job shopping in view of imperfect information. Therefore, workers with short job tenure and younger employees (20–30 years) reveal a high propensity to quit. Another type of quit behaviour is the reaction of workers to differences in the net advantages of various jobs. The employed move from the low wage to the high wage sector, from small to largescale enterprises and from shrinking to expanding firms. The existence of a dual labour market implies that disprivileged workers (with low general and specific training) quit frequently and privileged workers rarely change the job. In fact, the turnover rate of white-collar workers and persons with higher formal education is far below average. The actual level of labour turnover does not only depend on the propensity to quit but also on the alternative job opportunities. Voluntary quits are so closely related to the tightness of the labour market that they can be regarded as a labour market indicator. Regression analysis shows that the differences in various measures of turnover are essentially due to these four features of turnover. (For measurement of labour turnover it is recomended to use the probabilities of a batch of entrants to survive certain points in time. as well as job tenure-specific turnover rates.)

     

An essay on the “New” Kaldorian macrodynamics

Conclusion Considering that employment and output are positively related, and that productivity growth and inflation are inversely related, we see that Kaldor, through the hypothesis of embodied technical progress and induced investment, has presented us with the elements of a general theory of stagflation. As such, this Kaldorian theory constitutes the only serious opposition to the various monetarist explanations (most notably Milton Friedman's 1977 Nobel Lecture) of a positively sloped Phillips curve, based on the inflationary expectations mechanism and the notion of a changing natural rate of unemployment. Not so long ago, people were talking about the so-called locomotive theory of export-led growth, with such surplus countries as Germany and Japan, or large economies as the U. S., playing the role of the engine, given that the equally surplus oil-producing countries will also maintain a strong import-demand for industrial output. Fears (perhaps legitimate ones) about inherent inflationary tendencies have caused the abandonment of this approach to pull the world economy from its vicious stagflationary circle. Contrary to the monetarists' view that a recession is needed in order to combat inflation, Kaldor's own theory can serve as a guide to those who, more optimistically, believe or simply hope that investment and output growth is the only longterm weapon against both inflation and unemployment.The importance of the writings of Professor Kaldor, influential as they have proved to be well beyond his immediate Cambridge milieu, cannot be overestimated. He is a truly great economist, one of the few who make economic theory rather than simply repeat established dogmas. All economists will be educated by reading and re-reading his collected essays.     

Vertical and Horizontal Trust Networks in Bureaucracies: Evidence from the Third Reich

In a seminal contribution to the literature on bureaucracy, Breton and Wintrobe (The Logic of Bureaucratic Conduct: An Economic Analysis of Competition, Exchange, and Efficiency in Private and Public Organization. New York, NY: Cambridge University Press, 1982) develop a model wherein subordinates and superiors in a bureaucratic structure trade with each other to advance the objectives of the superiors. The success of such an organizational arrangement (for superiors) is based upon the development of vertical trust networks in a way that facilitates the promise of informal payments by superiors in return for informal services provided by their subordinates. Breton and Wintrobe [Journal of Political Economy 94 (1986) 905] also provide a theoretical application of their model by describing the Nazi bureaucracy as a conglomeration of competing agencies that zealously carried out the Final Solution to the Jewish question. As an extension, this note develops two compelling empirical examples of vertical and horizontal trust networks within the Nazi regime: Einsatzgruppen As (Special Action Detachments) attempt to liquidate all Lithuanian Jews after the German invasion of the U.S.S.R. in 1941 and the 20 July 1944 attempt to assassinate Adolf Hitler.JEL Classification: D23, D73.     

Anonymous sequential games: Existence and characterization of equilibria

Summary In this paper we consider Anonymous Sequential Games with Aggregate Uncertainty. We prove existence of equilibrium when there is a general state space representing aggregate uncertainty. When the economy is stationary and the underlying process governing aggregate uncertainty Markov, we provide Markov representations of the equilibria.Table of notation Agents' characteristics space ( ) - A Action space of each agent (aA) - Y Y = x A - Aggregate distribution on agents' characteristics - (X) Space of probability measures onX - C(X) Space of continuous functions onX - _X Family of Borel sets ofX - State space of aggregate uncertainty ( ) - x _t=1 aggregate uncertainty for the infinite game - = (₁,₂,...,_t,...) - ^{t t} (₁, ₂,..., _t) - L₁(^t,C ×A),v _t Normed space of measurable functions from ^t toC( x A) - 8o(^t,( x A)) Space of measurable functions from ^tto( x A) - X^t X^t= x _s=1 ^t X - _X ^t Borel field onX ^t - v Distribution on - v_t Marginal distribution of v on ^t - v(^t)((¦^t)) Conditional distribution on given ^t - v^t(^s)(v_t(¦^s)) Conditional distribution on ^t given ^s (wheres) - _t Periodt distributional strategy - Distributional strategy for all periods =(₁,₂,...,_t,...) - _t Transition process for agents' types - ( _t,^t,y)(P _t+1(, _t , ^t ,y)) Transition function associated with _t - u _t Utility function - V _t (, a, , ^t) Value function for each collection (, a, , ^t ) - W _t (, , ^t ) Value function given optimal action a - C() Consistency correspondence. Distributions consistent with and characteristics transition functions - B() Best response correspondence (which also satisfy consistency) - E Set of equilibrium distributional strategies - x _t=1 ( ^t , (x A)) - S Expanded state space for Markov construction - (, a, ) Value function for Markov construction - P( _t ^* , _t y)(P(, _t ^* , _t , _y )) Invariant characteristics transition function for Markov game We wish to acknowledge very helpful conversations with C. d'Aspremont, B. Lipman, A. McLennan and J-F. Mertens. The financial support of the SSHRCC and the ARC at Queen's University is gratefully acknowledged. This paper was begun while the first author visited CORE. The financial support of CORE and the excellent research environment is gratefully acknowledged. The usual disclaimer applies.