Estimating Preferences under Risk: The Case of Racetrack Bettors

In this paper we investigate the attitudes toward risk of bettors in British horse races. The model we use allows us to go beyond the expected utility framework and to explore various alternative proposals by estimating a multinomial model on a 34,443‐race data set. We find that rank‐dependent utility models do not fit the data noticeably better than expected utility models. On the other hand, cumulative prospect theory has higher explanatory power. Our preferred estimates suggest a pattern of local risk aversion similar to that proposed by Friedman and Savage.

[1]  D. Prelec The Probability Weighting Function , 1998 .

[2]  Joseph H. Golec,et al.  Bettors Love Skewness, Not Risk, at the Horse Track , 1998, Journal of Political Economy.

[3]  H. Fennema,et al.  A test of rank-dependent utility in the context of ambiguity , 1996 .

[4]  J. Hey,et al.  A Comparison of the Estimates of Expected Utility and Non-Expected-Utility Preference Functionals , 1995 .

[5]  M. Machina,et al.  Non-expected utility and risk management : a special issue of the Geneva papers on risk and insurance theory , 1995 .

[6]  B. Jullien,et al.  Measuring the Incidence of Insider Trading: A Comment on Shin , 1994 .

[7]  Colin Camerer,et al.  Violations of the betweenness axiom and nonlinearity in probability , 1994 .

[8]  George Wu An empirical test of ordinal independence , 1994 .

[9]  Jeffrey A. Dubin,et al.  A Microeconometric Analysis of Risk Aversion and the Decision to Self-Insure , 1994, Journal of Political Economy.

[10]  A. Tversky,et al.  An axiomatization of cumulative prospect theory , 1993 .

[11]  Hyun Song Shin,et al.  Measuring the Incidence of Insider Trading in a Market for State-Contingent Claims , 1993 .

[12]  A. Tversky,et al.  Advances in prospect theory: Cumulative representation of uncertainty , 1992 .

[13]  A. Witte,et al.  The Influence of Probability on Risky Choice: A Parametric Examination , 1992 .

[14]  Larry G. Epstein,et al.  Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis , 1991, Journal of Political Economy.

[15]  P. Weil Nonexpected Utility in Macroeconomics , 1990 .

[16]  D. Schmeidler Subjective Probability and Expected Utility without Additivity , 1989 .

[17]  Jerry R. Green,et al.  Ordinal Independence in Nonlinear Utility Theory: Erratum , 1989 .

[18]  M. Machina Dynamic Consistency and Non-expected Utility Models of Choice under Uncertainty , 1989 .

[19]  D. Ellsberg,et al.  Subjective Probability and Expected Utility without Additivity Author ( s ) : David Schmeidler Source : Econometrica , 1989 .

[20]  Bruno Jullien,et al.  Ordinal independence in nonlinear utility theory , 1988 .

[21]  M. Machina Choice under Uncertainty: Problems Solved and Unsolved , 1987 .

[22]  C. S. Hong,et al.  Risk aversion in the theory of expected utility with rank dependent probabilities , 1987 .

[23]  M. Yaari The Dual Theory of Choice under Risk , 1987 .

[24]  Uzi Segal,et al.  SOME REMARKS ON QU|GGIN'S ANTICIPATED UTILITY* , 1986 .

[25]  N. Crafts,et al.  Some Evidence of Insider Knowledge in Horse Race Betting in Britain , 1985 .

[26]  S. Chew A Generalization of the Quasilinear Mean with Applications to the Measurement of Income Inequality and Decision Theory Resolving the Allais Paradox , 1983 .

[27]  M. Machina "Expected Utility" Analysis without the Independence Axiom , 1982 .

[28]  J. Quiggin A theory of anticipated utility , 1982 .

[29]  John D. Hey,et al.  Expected utility hypotheses and the Allais Paradox : contemporary discussions of decisions under uncertainty with Allais' rejoinder , 1980 .

[30]  A. Tversky,et al.  Prospect Theory : An Analysis of Decision under Risk Author ( s ) : , 2007 .

[31]  Mukhtar M. Ali Some Evidence of the Efficiency of a Speculative Market , 1979 .

[32]  A. Tversky,et al.  Prospect theory: analysis of decision under risk , 1979 .

[33]  Mukhtar M. Ali Probability and Utility Estimates for Racetrack Bettors , 1977, Journal of Political Economy.

[34]  J. Dowie,et al.  On the Efficiency and Equity of Betting Markets , 1976 .

[35]  Martin L. Weitzman,et al.  Utility Analysis and Group Behavior: An Empirical Study , 1965, Journal of Political Economy.

[36]  M. Allais Le comportement de l'homme rationnel devant le risque : critique des postulats et axiomes de l'ecole americaine , 1953 .

[37]  H. Markowitz The Utility of Wealth , 1952, Journal of Political Economy.

[38]  J. Marschak Rational Behavior, Uncertain Prospects, and Measurable Utility (1950) , 1950 .

[39]  R. M. Griffith,et al.  Odds adjustments by American horse-race bettors. , 1949, The American journal of psychology.

[40]  L. J. Savage,et al.  The Utility Analysis of Choices Involving Risk , 1948, Journal of Political Economy.