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|
|Publication status:||Published in Journal of Optimization Theory and Applications, 2008, 137(2), 347-362|
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- Ernst Fehr & Klaus M. Schmidt, 1999.
"A Theory of Fairness, Competition, and Cooperation,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 114(3), pages 817-868.
- Fehr, Ernst & Schmidt, Klaus M., . "A theory of fairness, competition, and cooperation," Chapters in Economics, University of Munich, Department of Economics.
- Ernst Fehr & Klaus M. Schmidt, "undated". "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., 1999. "A theory of fairness, competition, and cooperation," Munich Reprints in Economics 20650, University of Munich, Department of Economics.
- Fehr, Ernst & Schmidt, Klaus M., 1998. "A Theory of Fairness, Competition and Cooperation," CEPR Discussion Papers 1812, C.E.P.R. Discussion Papers.
- Falk, Armin & Fischbacher, Urs, 2006. "A theory of reciprocity," Games and Economic Behavior, Elsevier, vol. 54(2), pages 293-315, February.
- Armin Falk & Urs Fischbacher, "undated". "A Theory of Reciprocity," IEW - Working Papers 006, Institute for Empirical Research in Economics - University of Zurich.
- Falk, Armin & Fischbacher, Urs, 2001. "A Theory of Reciprocity," CEPR Discussion Papers 3014, C.E.P.R. Discussion Papers.
- Armin Falk & Urs Fischbacher, 2001. "A Theory of Reciprocity," CESifo Working Paper Series 457, CESifo Group Munich.
- 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.
- David K Levine, 1997. "Modeling Altruism and Spitefulness in Experiments," Levine's Working Paper Archive 2047, David K. Levine.
- Sethi, Rajiv & Somanathan, E., 2001. "Preference Evolution and Reciprocity," Journal of Economic Theory, Elsevier, vol. 97(2), pages 273-297, April.
- Rajiv Sethi & E. Somanathan, 1999. "Preference Evolution and Reciprocity," Game Theory and Information 9903001, EconWPA, revised 12 Mar 1999.
- Aumann, Robert J., 1997. "Rationality and Bounded Rationality," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 2-14, October.
- Dufwenberg, Martin & Kirchsteiger, Georg, 2004. "A theory of sequential reciprocity," Games and Economic Behavior, Elsevier, vol. 47(2), pages 268-298, May.
- Dufwenberg, M. & Kirchsteiger, G., 1998. "A Theory of Sequential Reciprocity," Discussion Paper 1998-37, Tilburg University, Center for Economic Research.
- Georg Kirchsteiger & Martin Dufwenberg, 2004. "A theory of sequential reciprocity," ULB Institutional Repository 2013/5899, ULB -- Universite Libre de Bruxelles.
- Margin Dufwenberg & Georg Kirchsteiger, 2001. "A Theory of Sequential Reciprocity," Levine's Working Paper Archive 563824000000000090, David K. Levine.
- Simon, Leo K & Stinchcombe, Maxwell B, 1995. "Equilibrium Refinement for Infinite Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1421-1443, November.
- 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.
- van Damme, E.E.C., 2000. "Strategic Equilibrium," Discussion Paper 2000-115, Tilburg University, Center for Economic Research.
- van Damme, E.E.C., 2002. "Strategic equilibrium," Other publications TiSEM aac2f01c-517a-488c-93cd-a, Tilburg University, School of Economics and Management.
- Ritzberger, Klaus, 1994. "The Theory of Normal Form Games form the Differentiable Viewpoint," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(3), pages 207-236.
- 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.
- Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
- KOHLBERG, Elon & MERTENS, Jean-François, "undated". "On the strategic stability of equilibria," CORE Discussion Papers RP 716, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- E. Kohlberg & J.-F. Mertens, 1998. "On the Strategic Stability of Equilibria," Levine's Working Paper Archive 445, David K. Levine.
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