Nash rationalization of collective choice over lotteries
To test the joint hypothesis that players in a noncooperative game (allowing mixtures over pure strategies) consult an independent preference relation and select a Nash equilibrium, it suffices to study the reaction of the revealed collective choice upon changes in the space of strategies available to the players. The joint hypothesis is supported if the revealed choices satisfy an extended version of Richter's congruence axiom together with a contraction-expansion axiom that models the noncooperative behavior. In addition, we provide sufficient and necessary conditions for a binary relation to have an independent ordering extension, and for individual choices over lotteries to be rationalizable by an independent preference relation.
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- Oliver, Adam, 2003. "A quantitative and qualitative test of the Allais paradox using health outcomes," Journal of Economic Psychology, Elsevier, vol. 24(1), pages 35-48, February.
- Sprumont, Yves, 2000. "On the Testable Implications of Collective Choice Theories," Journal of Economic Theory, Elsevier, vol. 93(2), pages 205-232, August.
- Sen, Amartya K, 1971. "Choice Functions and Revealed Preference," Review of Economic Studies, Wiley Blackwell, vol. 38(115), pages 307-17, July.
- Shachat, Jason M., 2002. "Mixed Strategy Play and the Minimax Hypothesis," Journal of Economic Theory, Elsevier, vol. 104(1), pages 189-226, May.
- Adam Galambos, 2005. "Revealed Preference in Game Theory," 2005 Meeting Papers 776, Society for Economic Dynamics.
- Sopher & Narramore, 2000. "Stochastic Choice and Consistency in Decision Making Under Risk: An Experimental Study," Theory and Decision, Springer, vol. 48(4), pages 323-349, June.
- Suzumura, Kataro, 1976. "Remarks on the Theory of Collective Choice," Economica, London School of Economics and Political Science, vol. 43(172), pages 381-90, November.
- Kim, Taesung, 1996. "Revealed preference theory on the choice of lotteries," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 463-477.
- Indrajit Ray & Lin Zhou, .
"Game Theory Via Revealed Preferences,"
00/15, Department of Economics, University of York.
- Clark, Stephen A., 1995. "Indecisive choice theory," Mathematical Social Sciences, Elsevier, vol. 30(2), pages 155-170, October.
- Conlisk, John, 1989. "Three Variants on the Allais Example," American Economic Review, American Economic Association, vol. 79(3), pages 392-407, June.
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