Slightly Altruistic Equilibria in Normal Form Games
We introduce a refinement concept for Nash equilibria (slightly altruistic equilibrium) defined by a limit process and which captures the idea of reciprocal altruism as presented in Binmore (2003). Existence is guaranteed for every finite game and for a large class of games with a continuum of strategies. Results and examples emphasize the (lack of) connections with classical refinement concepts. Finally, it is shown that under a pseudo-monotonicity assumption on a particular operator associated to the game it is possible, by selecting slightly altruistic equilibria, to eliminate those equilibria in which a player can switch to a strategy that is better for the others without leaving the set of equilibria.
|Date of creation:||01 Oct 2007|
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|Publication status:||Published in Journal of Optimization Theory and Applications, 2008, 137(2), 347-362|
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- Margin Dufwenberg & Georg Kirchsteiger, 2001.
"A Theory of Sequential Reciprocity,"
Levine's Working Paper Archive
563824000000000090, David K. Levine.
- Georg Kirchsteiger & Martin Dufwenberg, 2004. "A theory of sequential reciprocity," ULB Institutional Repository 2013/5899, ULB -- Universite Libre de Bruxelles.
- Dufwenberg, M. & Kirchsteiger, G., 1998. "A Theory of Sequential Reciprocity," Discussion Paper 1998-37, Tilburg University, Center for Economic Research.
- Armin Falk & Urs Fischbacher, .
"A Theory of Reciprocity,"
IEW - Working Papers
006, Institute for Empirical Research in Economics - University of Zurich.
- David K. Levine, 1998.
"Modeling Altruism and Spitefulness in Experiment,"
Review of Economic Dynamics,
Elsevier for the Society for Economic Dynamics, vol. 1(3), pages 593-622, July.
- van Damme, E.E.C., 2002.
Other publications TiSEM
aac2f01c-517a-488c-93cd-a, School of Economics and Management.
- Van Damme, Eric, 2002. "Strategic equilibrium," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 41, pages 1521-1596 Elsevier.
- Ritzberger, Klaus, 1994. "The Theory of Normal Form Games form the Differentiable Viewpoint," International Journal of Game Theory, Springer, vol. 23(3), pages 207-36.
- Giuseppe De Marco & Jacqueline Morgan, 2008. "Friendliness And Reciprocity In Equilibrium Selection," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 53-72.
- Sethi, Rajiv & Somanathan, E., 2001.
"Preference Evolution and Reciprocity,"
Journal of Economic Theory,
Elsevier, vol. 97(2), pages 273-297, April.
- Aumann, Robert J., 1997. "Rationality and Bounded Rationality," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 2-14, October.
- Ernst Fehr & Klaus M. Schmidt, 1999.
"A Theory Of Fairness, Competition, And Cooperation,"
The Quarterly Journal of Economics,
MIT Press, vol. 114(3), pages 817-868, August.
- Ernst Fehr & Klaus M. Schmidt, . "A Theory of Fairness, Competition and Cooperation," IEW - Working Papers 004, Institute for Empirical Research in Economics - University of Zurich.
- Fehr, Ernst & Schmidt, Klaus M., 1998. "A Theory of Fairness, Competition and Cooperation," CEPR Discussion Papers 1812, C.E.P.R. Discussion Papers.
- KOHLBERG, Elon & MERTENS, Jean-François, .
"On the strategic stability of equilibria,"
CORE Discussion Papers RP
-716, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Simon, Leo K & Stinchcombe, Maxwell B, 1995. "Equilibrium Refinement for Infinite Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1421-43, November.
- Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
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