Invariance properties of persistent equilibria and related solution concepts
AbstractKohlberg and Mertens argued that a solution concept to a game should be invariant under the addition of deletion of an equivalent strategy and not require the use of weakly dominated strategies. In this paper we study which of these requirements are satisfied by Kalai and Samet's concepts of persistent equilibria and persistent retracts. While none of these concepts has all the invariance properties, we show that a slight rephrasing of the notion of a persisent retract leads to a notion satisfying them all.
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Bibliographic InfoArticle provided by Elsevier in its journal Mathematical Social Sciences.
Volume (Year): 41 (2001)
Issue (Month): 1 (January)
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Web page: http://www.elsevier.com/locate/inca/505565
Other versions of this item:
- Balkenborg, D. & Jansen, M. & Vermeulen, D., 1998. "Invariance properties of persistent equilibria and related solution concepts," Discussion Paper Series In Economics And Econometrics 9806, Economics Division, School of Social Sciences, University of Southampton.
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- Basu, K. & Weibull, J., 1990.
"Strategy Subsets Closed Under Rational Behavior,"
62, Princeton, Woodrow Wilson School - Discussion Paper.
- Jean-François Mertens, 2004.
"Ordinality in non cooperative games,"
International Journal of Game Theory,
Springer, vol. 32(3), pages 387-430, 06.
- Mertens, J.-F., 1987. "Ordinality in non cooperative games," CORE Discussion Papers 1987028, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- MERTENS, Jean-François, . "Ordinality in non cooperative games," CORE Discussion Papers RP -1738, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- K. Ritzberger & J. Weibull, 2010.
"Evolutionary Selection in Normal-Form Games,"
Levine's Working Paper Archive
452, David K. Levine.
- Aumann, Robert & Brandenburger, Adam, 1995. "Epistemic Conditions for Nash Equilibrium," Econometrica, Econometric Society, vol. 63(5), pages 1161-80, September.
- repec:fth:coluec:9596-22 is not listed on IDEAS
- MERTENS, Jean-François, 1990.
"The "small worlds" axiom for stable equilibria,"
CORE Discussion Papers
1990007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Vermeulen, A. J. & Jansen, M. J. M., 2000. "Ordinality of solutions of noncooperative games," Journal of Mathematical Economics, Elsevier, vol. 33(1), pages 13-34, February.
- Vermeulen, A. J. & Jansen, M. J. M., 1997. "On the invariance of solutions of finite games," Mathematical Social Sciences, Elsevier, vol. 33(3), pages 251-267, June.
- 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).
- Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
- Sanchirico, Chris William, 1996.
"A Probabilistic Model of Learning in Games,"
Econometric Society, vol. 64(6), pages 1375-93, November.
- Hurkens Sjaak, 1995. "Learning by Forgetful Players," Games and Economic Behavior, Elsevier, vol. 11(2), pages 304-329, November.
- Kuzmics, Christoph & Balkenborg, Dieter & Hofbauer, Josef, 2013.
"Refined best-response correspondence and dynamics,"
Econometric Society, vol. 8(1), January.
- Dieter Balkenborg & Josef Hofbauer & Christoph Kuzmics, 2011. "Refined best reply correspondence and dynamics," Working Papers 451, Bielefeld University, Center for Mathematical Economics.
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