Slightly Altruistic Equilibria in Normal Form Games
AbstractWe 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy in its series CSEF Working Papers with number 185.
Date of creation: 01 Oct 2007
Date of revision:
This paper has been announced in the following NEP Reports:
- NEP-ALL-2007-10-27 (All new papers)
- NEP-CBE-2007-10-27 (Cognitive & Behavioural Economics)
- NEP-GTH-2007-10-27 (Game Theory)
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.:
- 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.
- 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.
- Dufwenberg, Martin & Kirchsteiger, Georg, 2004.
"A theory of sequential reciprocity,"
Games and Economic Behavior,
Elsevier, vol. 47(2), pages 268-298, May.
- 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.
- Margin Dufwenberg & Georg Kirchsteiger, 2001. "A Theory of Sequential Reciprocity," Levine's Working Paper Archive 563824000000000090, David K. Levine.
- 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, 1999. "A Theory Of Fairness, Competition, And Cooperation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 817-868, August.
- Fehr, Ernst & Schmidt, Klaus M., 1998. "A Theory of Fairness, Competition and Cooperation," CEPR Discussion Papers 1812, C.E.P.R. Discussion Papers.
- Fehr, Ernst & Schmidt, Klaus M., 1999. "A theory of fairness, competition, and cooperation," Munich Reprints in Economics 20650, University of Munich, Department of Economics.
- 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.
- Rajiv Sethi & E. Somanathan, 1999.
"Preference Evolution and Reciprocity,"
Game Theory and Information
9903001, EconWPA, revised 12 Mar 1999.
- 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.
- 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, 2001. "A Theory of Reciprocity," CESifo Working Paper Series 457, CESifo Group Munich.
- Armin Falk & Urs Fischbacher, . "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.
- 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.
- Simon, Leo K & Stinchcombe, Maxwell B, 1995. "Equilibrium Refinement for Infinite Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1421-43, November.
- Kohlberg, Elon & Mertens, Jean-Francois, 1986.
"On the Strategic Stability of Equilibria,"
Econometric Society, vol. 54(5), pages 1003-37, September.
- 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).
- E. Kohlberg & J.-F. Mertens, 1998. "On the Strategic Stability of Equilibria," Levine's Working Paper Archive 445, David K. Levine.
- Aumann, Robert J., 1997. "Rationality and Bounded Rationality," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 2-14, October.
- 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.
- Giuseppe De Marco & Jacqueline Morgan, 2007. "Social Networks: Equilibrium Selection and Friendliness," CSEF Working Papers 198, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
- Giuseppe De Marco & Jacqueline Morgan, 2009. "Equilibrium selection and altruistic behavior in noncooperative social networks," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 17(2), pages 454-470, December.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Lia Ambrosio).
If references are entirely missing, you can add them using this form.