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Random Expected Utility

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  • Faruk Gul
  • Wolfgang Pesendorfer

Abstract

We develop and analyze a model of random choice and random expected utility. A decision problem is a finite set of lotteries that describe the feasible choices. A random choice rule associates with each decision problem a probability measure over choices. A random utility function is a probability measure over von Neumann-Morgenstern utility functions. We show that a random choice rule maximizes some random utility function if and only if it is mixture continuous, monotone (the probability that a lottery is chosen does not increase when other lotteries are added to the decision problem), extreme (lotteries that are not extreme points of the decision problem are chosen with probability 0), and linear (satisfies the independence axiom). Copyright The Econometric Society 2006.

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File URL: http://hdl.handle.net/10.1111/j.1468-0262.2006.00651.x
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Bibliographic Info

Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 74 (2006)
Issue (Month): 1 (01)
Pages: 121-146

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Handle: RePEc:ecm:emetrp:v:74:y:2006:i:1:p:121-146

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References

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  1. Stephen A. Clark, 1995. "The random utility model with an infinite choice space," Economic Theory, Springer, vol. 7(1), pages 179-189.
  2. Gil Kalai & Ariel Rubenstein & Ran Spiegler, 2001. "Rationalizing Choice Functions by Multiple Rationales," Economics Working Papers 0010, Institute for Advanced Study, School of Social Science.
  3. Fishburn, Peter C., 1992. "Induced binary probabilities and the linear ordering polytope: a status report," Mathematical Social Sciences, Elsevier, vol. 23(1), pages 67-80, February.
  4. F. Gul & W. Pesendorfer, 2002. "Random Expected Utility," Princeton Economic Theory Working Papers 497768e9b9fc18361ac0810b3, David K. Levine.
  5. Barbera, Salvador & Pattanaik, Prasanta K, 1986. "Falmagne and the Rationalizability of Stochastic Choices in Terms of Random Orderings," Econometrica, Econometric Society, vol. 54(3), pages 707-15, May.
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Citations

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Cited by:
  1. Faruk Gul & Wolfgang Pesendorfer, 2005. "Random Expected Utility," Levine's Bibliography 122247000000000834, UCLA Department of Economics.
  2. Wilcox, Nathaniel, 2007. "Stochastically more risk averse: A contextual theory of stochastic discrete choice under risk," MPRA Paper 11851, University Library of Munich, Germany.
  3. B. Douglas Bernheim & Antonio Rangel, 2008. "Beyond Revealed Preference: Choice Theoretic Foundations for Behavioral Welfare Economics," NBER Working Papers 13737, National Bureau of Economic Research, Inc.
  4. Andrew Caplin & Daniel Martin, 2011. "A Testable Theory of Imperfect Perception," NBER Working Papers 17163, National Bureau of Economic Research, Inc.
  5. Harrison, Glenn W., 2008. "Neuroeconomics: A Critical Reconsideration," Economics and Philosophy, Cambridge University Press, vol. 24(03), pages 303-344, November.
  6. Pavlo Blavatskyy, 2010. "Reverse common ratio effect," Journal of Risk and Uncertainty, Springer, vol. 40(3), pages 219-241, June.
  7. Oyarzun, Carlos & Sarin, Rajiv, 2012. "Mean and variance responsive learning," Games and Economic Behavior, Elsevier, vol. 75(2), pages 855-866.
  8. Stefania Minardi & Andrei Savochkin, 2013. "Preferences With Grades of Indecisiveness," Carlo Alberto Notebooks 309, Collegio Carlo Alberto.
  9. Blavatskyy, Pavlo, 2013. "Which decision theory?," Economics Letters, Elsevier, vol. 120(1), pages 40-44.
  10. Andrew Caplin & Mark Dean, 2014. "Revealed Preference, Rational Inattention, and Costly Information Acquisition," NBER Working Papers 19876, National Bureau of Economic Research, Inc.
  11. Jack Vromen, 2011. "Neuroeconomics: two camps gradually converging: what can economics gain from it?," International Review of Economics, Springer, vol. 58(3), pages 267-285, September.
  12. John K. Dagsvik, 2006. "Axiomatization of Stochastic Models for Choice under Uncertainty," Discussion Papers 465, Research Department of Statistics Norway.
  13. Pavlo Blavatskyy, 2014. "Stronger utility," Theory and Decision, Springer, vol. 76(2), pages 265-286, February.
  14. Blavatskyy, Pavlo R., 2008. "Stochastic utility theorem," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1049-1056, December.
  15. Pavlo Blavatskyy, 2009. "Preference reversals and probabilistic decisions," Journal of Risk and Uncertainty, Springer, vol. 39(3), pages 237-250, December.

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