Nash Consistent Representation of Effectivity Functions through Lottery Models
Effectivity functions for finitely many players and alternatives are considered. It is shown that every monotonic and superadditive effectivity function can be augmented with equal chance lotteries to a finite lottery model - i.e., an effectivity function that preserves the original effectivity in terms of supports of lotteries - which has a Nash consistent representation. In other words, there exists a finite game form which represents the lottery model and which has a Nash equilibrium for any profile of utility functions, where lotteries are evaluated by their expected utility. No additional condition on the original effectivity function is needed.
|Date of creation:||Sep 2005|
|Date of revision:|
|Publication status:||Forthcoming in Games and Economic Behavior.|
|Contact details of provider:|| Postal: Feldman Building - Givat Ram - 91904 Jerusalem|
Web page: http://www.ratio.huji.ac.il/
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Hans Keiding & Bezalel Peleg, 2004.
"Binary Effectivity Rules,"
Discussion Paper Series
dp378, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- Moulin, H. & Peleg, B., 1982. "Cores of effectivity functions and implementation theory," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 115-145, June.
- Bezalel Peleg, 1997. "Effectivity functions, game forms, games, and rights," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(1), pages 67-80.
- Barbera, Salvador & Dutta, Bhaskar & Sen, Arunava, 2005.
"Corrigendum to "Strategy-proof social choice correspondences" [J. Econ. Theory 101 (2001) 374-394],"
Journal of Economic Theory,
Elsevier, vol. 120(2), pages 275-275, February.
- repec:dau:papers:123456789/13220 is not listed on IDEAS
- Peleg, Bezalel & Peters, Hans & Storcken, Ton, 2002. "Nash consistent representation of constitutions: a reaction to the Gibbard paradox," Mathematical Social Sciences, Elsevier, vol. 43(2), pages 267-287, March.
- Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
- Wulf Gaerther & Prasanta K. Pattanaik & Kotaro Suzumura, 1991.
"Individual Rights Revisited,"
Discussion Paper Series
a238, Institute of Economic Research, Hitotsubashi University.
- Abreu, Dilip & Sen, Arunava, 1991. "Virtual Implementation in Nash Equilibrium," Econometrica, Econometric Society, vol. 59(4), pages 997-1021, July.
- Gibbard, Allan, 1974. "A Pareto-consistent libertarian claim," Journal of Economic Theory, Elsevier, vol. 7(4), pages 388-410, April.
- Allan Feldman, 1980. "Strongly nonmanipulable multi-valued collective choice rules," Public Choice, Springer, vol. 35(4), pages 503-509, January.
When requesting a correction, please mention this item's handle: RePEc:huj:dispap:dp404. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Tomer Siedner)
If references are entirely missing, you can add them using this form.