Perfect and limit admissible perfect equilibria in discontinuous games
AbstractWe compare the properties of several notions of trembling-hand perfection within classes of compact, metric, and possibly discontinuous games, and show that in the presence of payoff discontinuities, standard notions of trembling-hand perfection fail a weakening of admissibility termed limit admissibility. We also provide conditions ensuring the existence of a limit admissible perfect equilibrium.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Mathematical Economics.
Volume (Year): 47 (2011)
Issue (Month): 4-5 ()
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Web page: http://www.elsevier.com/locate/jmateco
Trembling-hand perfect equilibrium; Limit admissibility; Discontinuous game; Infinite normal-form game; Payoff security;
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- Oriol Carbonell-Nicolau & Richard McLean, 2012.
"Approximation Results for Discontinuous Games with an Application to Equilibrium Refinement,"
Departmental Working Papers
201206, Rutgers University, Department of Economics.
- Oriol Carbonell-Nicolau & Richard McLean, 2013. "Approximation results for discontinuous games with an application to equilibrium refinement," Economic Theory, Springer, vol. 54(1), pages 1-26, September.
- Oriol Carbonell-Nicolau & Richard McLean, 2011. "Approximation Results for Discontinuous Games with an Application to Equilibrium Refinement," Departmental Working Papers 201128, Rutgers University, Department of Economics.
- Monteiro, Paulo Klinger & Page Jr, Frank H., 2007. "Uniform payoff security and Nash equilibrium in compact games," Journal of Economic Theory, Elsevier, vol. 134(1), pages 566-575, May.
- Kohlberg, Elon & Mertens, Jean-Francois, 1986.
"On the Strategic Stability of Equilibria,"
Econometric Society, vol. 54(5), pages 1003-37, September.
- Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
- Salonen, Hannu, 1996. "On the Existence of Undominated Nash Equilibria in Normal Form Games," Games and Economic Behavior, Elsevier, vol. 14(2), pages 208-219, June.
- Carbonell-Nicolau, Oriol, 2011. "On strategic stability in discontinuous games," Economics Letters, Elsevier, vol. 113(2), pages 120-123.
- Oriol Carbonell-Nicolau, 2011. "The Existence of Perfect Equilibrium in Discontinuous Games," Games, MDPI, Open Access Journal, vol. 2(3), pages 235-256, July.
- repec:ner:louvai:info:hdl:2078.1/54777 is not listed on IDEAS
- Simon, Leo K & Stinchcombe, Maxwell B, 1995. "Equilibrium Refinement for Infinite Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1421-43, November.
- Carbonell-Nicolau, Oriol & McLean, Richard P., 0.
"Refinements of Nash equilibrium in potential games,"
- Oriol Carbonell-Nicolau & Richard McLean, 2011. "Refinements of Nash equilibrium in potential games," Departmental Working Papers 201125, Rutgers University, Department of Economics.
- Oriol Carbonell-Nicolau & Richard McLean, 2012. "On Equilibrium Refinement in Supermodular Games," Departmental Working Papers 201207, Rutgers University, Department of Economics.
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