Revealed stochastic preference: a synthesis

Summary. The problem of revealed stochastic preference is whether probability distributions of observed choices in a population for various choice situations are consistent with a hypothesis of maximization of preference preorders by members of the population. This is a population analog of the classical revealed preference problem in economic consumer theory. This paper synthesizes the solutions to this problem that have been obtained by Marcel K. Richter and the author, and by J. C. Falmagne, in the case of finite sets of alternatives, and utilizes unpublished research of Richter and the author to give results for the non-finite choice sets encountered in economic consumer theory.Received: 13 March 2003, Revised: 11 February 2004, JEL Classification Numbers: D1, C6.The preparation of this paper was supported by the E. Morris Cox endowment at the University of California, Berkeley. I am indebted to Robert Anderson, Salvador Barbara, Werner Hildenbrand, Rosa L. Matzkin, and Aviv Nevo for useful suggestions and comments. I am especially indebted to Marcel K. Richter, who was the source of many of the ideas and arguments contained in this paper.     

Rational inattention and revealed preference: The data-theoretic approach to economic modeling

Beliefs have as pervasive a role as utility functions in economic models of choice, and are no more visible to the naked eye. This suggests the value of a data-theoretic approach to imperfect information along the lines of Samuelson's “revealed preference” approach to utility maximization. I introduce a recently developed approach of this nature (Caplin and Martin, 2013a, Caplin and Dean, 2013a, Caplin and Dean, 2013b). I highlight the broader potential of the data-theoretic approach to answer questions of an inter-disciplinary nature and to discipline an oncoming flood of behaviorally-relevant data.     

A general revealed preference theorem for stochastic demand behavior

Summary. We present a general revealed preference theorem concerning stochastic choice behavior by consumers. We show that, when the consumer spends her entire wealth, the Weak Axiom of Stochastic Revealed Preference due to Bandyopadhyay, Dasgupta, and Pattanaik (1999) is equivalent to a restriction on stochastic demand behavior that we call stochastic substitutability. We also show that the relationship between the Weak Axiom of Revealed Preference and Samuelson's inequality in the deterministic theory, and the main result of Bandyopadhyay, Dasgupta, and Pattanaik (1999) are both special cases of our result.Received: 10 September 2001, Revised: 4 April 2003, JEL Classification Numbers: D11. Correspondence to: Prasanta K. PattanaikOur greatest debt is to the referee of this paper, who made numerous helpful suggestions. We thank Robin Cubitt, Kunal Sengupta and seminar audiences at Jawaharlal Nehru University, Indian Statistical Institute, University of East Anglia, Universidad Carlos III, University of Essex and University of Montreal for their helpful comments. Prasanta K. Pattanaik acknowledges his intellectual debt to Salvador Barbera, Tapas Majumdar and Amartya Sen.     

The demand functions that satisfy the weak axiom of revealed preference and generalized monotonicity

We prove that the individual demand function satisfying the Weak Axiom of Revealed Preference and the excess demand function satisfying the Wald’s Axiom are pseudomonotone_*⁺, a new class of generalized monotonicity. With this new concept, we refine the characterization of Zhou for the individual demand function. In particular, a full characterization for the excess demand functions satisfying the Wald’s Axiom is derived.     

Choices, situations, and happiness

This article explores some conceptual issues in the study of well-being using the traditional economic approach of inferring preferences solely from choice behavior. We argue that choice behavior alone can never reveal which situations make people better off, even with unlimited data and under the maintained hypothesis of 100% rational choice. Ancillary assumptions or additional forms of data such as happiness measures are always needed. With such ancillary assumptions and additional data, however, the use of revealed preference to study well-being can be significantly improved, so that the choices people make can jointly identify preferences, mistakes, and well-being.     

Strength of preference and cardinal utility

Summary. This paper provides simpler and more general preference foundations for difference representations than known before and shows how to obtain cardinal utility from those difference representations. In addition, this paper unifies all earlier derivations of cardinal utility by showing that they are implied as direct corollaries.Received: 9 November 2002, Revised: 27 December 2004, JEL Classification Numbers: C6.The author particularly thanks Peter P. Wakker and an anonymous referee for many helpful comments and suggestions. The author also thanks Han Bleichrodt and Horst Zank. The paper was partly written during a visit at the Kellogg School of Management, Northwestern University. The author thanks the Dutch Science Foundation NWO for financial support under grant 425-11-003.     

Rationalizability and the savage axioms

Summary. Suppose there is a finite set of acts defined on a finite state space and a decision maker chooses an act from the set. In this setting, the subjective expected utility model is observationally indistinguishable from all models of preference that satisfy Savage's axiom P3. The result has implications also for rationalizability in strategic games. Received: September 18, 1998; revised version: January 29, 1999     

Derived factor demand under monopoly

Summary. We generalize the formula provided by Maurice and Ferguson (1973) for derived factor demand in a monopoly by extending it to cross-price effects and taking into account other variables which may, within an general-equilibrium framework, affect demand, such as income. Hopefully, both features increase the applicability of this formula in general-equilibrium analyses. Received: April 5, 2000; revised version: June 7, 2001     

Giving gifts to groups: How altruism depends on the number of recipients

When a single gift goes to a group of recipients, how does giving depend on the size of the group? This question is important for understanding charitable giving and fund-raising, public goods provision, family altruism, and more. If we think of the gift as giving up a dollar to create a social surplus, then we want to know how the number of recipients of that surplus affects its value to the giver. In other words, how congestible is altruism? This paper builds a theoretical framework for this question and begins to answer it with a controlled experiment. The finding is that for most subjects altruism is congestible. For the average subject, a gift that results in one person receiving x is equivalent to one in which n people receive x / n^0.68 each.     

Indifference and incompleteness distinguished by rational trade

We use an agent's strict preferences to define indifference and incompleteness relations that identify the sequences of trades that are rational to undertake. If an agent makes sequences of trades of options labeled indifferent, the agent will never be led to an inferior outcome, but trades of options where no preference judgments obtain can lead to diminished welfare. For one-shot choices, in contrast, there can be no behavioral distinction between indifference and incompleteness. Applications include: an isomorphism for incomplete preferences that indicates when weak and strict preferences contain interchangeable information, a characterization of the (possibly incomplete) preference relations consistent with a one-shot choice function, and an equivalent definition of incompleteness that relies on the philosophical theory of incommensurability.     

我国健康保险有效需求的实证分析

有效保险需求是在当前特定时期内,在一定保险价格、一定购买力条件下现实的保险需求,是保险公司真正面对的业务来源。本文使用最近几年健康保险保费收入、城镇居民可支配收入、城镇基本医疗保险基金总收入及居民医疗保健支出等数据,通过建立回归模型对健康保险有效需求进行分析。结果显示：居民购买力和医疗费用的增长对我国健康保险的有效需求有显著影响,社会保险并未对商业健康保险产生替代作用,相反与健康保险保费收入同向增长。     

Environmental Risk and Averting Behavior: Predictive Validity of Jointly Estimated Revealed and Stated Behavior Data

We conduct predictive validity tests using revealed and stated behavior data from a panel survey of North Carolina coastal households. The application is to hurricane evacuation behavior. Data was initially collected after Hurricane Bonnie led to hurricane evacuations in North Carolina in 1998. Respondents were asked for their behavioral intentions if a hurricane threatened the North Carolina coast during the 1999 hurricane season. Following Hurricanes Dennis and Floyd in 1999, a follow-up survey was conducted to see if respondents behaved as they intended. A jointly estimated revealed and stated behavior model indicates that the hypothetical and real evacuation behavior is based on the same choice process. Using predictions from this model with a hypothetical bias correction, we find that it predicts actual evacuation behavior with a small forecast error. These results suggest that stated behavior data has some degree of predictive validity.     

Disaggregation of excess demand and comparative statics with incomplete markets and nominal assets

Summary. We prove that locally, Walras' law and homogeneity characterize the structure of market excess demand functions when financial markets are incomplete and assets' returns are nominal. The method of proof is substantially different from all existing arguments as the properties of individual demand are also different. We show that this result has important implications and is part of a more general result that excess demand is an essentially arbitrary function not just of prices, but also of the exogenous parameters of the economy as asset returns, preferences, and endowments. Thus locally the equilibrium manifold, relating equilibrium prices to these parameters has also no structure. Received: September 17, 1996; revised version: November 7, 1997     

The structure of the Nash equilibrium sets of standard 2-player games

Summary. In this paper I study a class of two-player games, in which both players action sets are [0,1] and their payoff functions are continuous in joint actions and quasi-concave in own actions. I show that a no-improper-crossing condition is both necessary and sufficient for a finite subset A of to be the set of Nash equilibria of such a game.Received: 21 November 2002, Revised: 9 September 2004, JEL Classification Numbers: C65, C72.I am grateful to an editor of the journal and an anonymous referee for their very helpful comments. I also would like to thank the seminar participants at City University of Hong Kong, Georgia State University, Northwestern University, and Rice University.     

Incentive and informational properties of preference questions

Surveys are frequently used by businesses and governments to elicit information about the public’s preferences. They have become the most common way to gather preference information regarding goods, that are not (or are not yet) bought or sold in markets. In this paper we apply the standard neoclassical economic framework to generate predictions about how rational agents would answer such survey questions, which in turn implies how such survey data should be interpreted. In some situations, the standard economic model would be expected to have no predictive power. For situations where it does have predictive power, we compare different survey formats with respect to: (a) the information that the question itself reveals to the respondent, (b) the strategic incentives the respondent faces in answering the question, and (c) the information revealed by the respondent’s answer. Earlier versions of this paper have been presented as a plenary address to the European Association of Environmental and Resource Economics in Oslo, as an invited paper at the Japanese Forum on Environmental Valuation meeting in Kobe, and at a NOAA conference on stated preference methods.     

A class of multipartner matching markets with a strong lattice structure

Summary. For a two-sided multipartner matching model where agents are given by path-independent choice functions and no quota restrictions, Blair [7] had shown that stable matchings always exist and form a lattice. However, the lattice operations were not simple and not distributive. Recently Alkan [3] showed that if one introduces quotas together with a monotonicity condition then the set of stable matchings is a distributive lattice under a natural definition of supremum and infimum for matchings. In this study we show that the quota restriction can be removed and replaced by a more general condition named cardinal monotonicity and all the structural properties derived in [3] still hold. In particular, although there are no exogenous quotas in the model there is endogenously a sort of quota; more precisely, each agent has the same number of partners in every stable matching. Stable matchings also have the polarity property (supremum with respect to one side is identical to infimum with respect to the other side) and a property we call {\it complementarity}. Received: May 5, 2000; revised version: January 25, 2001