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Equilibria existence in regular discontinuous games
de Castro, Luciano I. - 2008
introduce a new con-dition, called regularity, that is simple and easy to verify. It is implied both by Reny's better …-reply security and Simon and Zame's endogenous sharing rule method. Regularity implies that the limits of €-equilibria are equilibria … identify extra conditions that, together with regularity, are sufficient for equilibrium existence. One is the marginal …
Persistent link: https://www.econbiz.de/10010282886
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On the existence of approximate equilibria and sharing rule solutions in discontinuous games
Bich, Philippe; Laraki, Rida - In: Theoretical Economics 12 (2017) 1, pp. 79-108
This paper studies the existence of equilibrium solution concepts in a large class of economic models with discontinuous payoff functions. The issue is well understood for Nash equilibria, thanks to Reny's better-reply security condition ( Reny 1999) and its recent improvements (Barelli and...
Persistent link: https://www.econbiz.de/10012010064
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Equilibrium existence in games with ties
Olszewski, Wojciech; Siegel, Ron - In: Theoretical Economics 18 (2023) 2, pp. 481-502
We provide conditions that simplify applying Reny's (1999) better-reply security to Bayesian games, and use these conditions to prove the existence of equilibria for classes of games in which payoff discontinuities arise only at "ties." These games include a general version of all-pay contests,...
Persistent link: https://www.econbiz.de/10014536959
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On the existence of approximate equilibria and sharing rule solutions in discontinuous games
Bich, Philippe; Laraki, Rida - In: Theoretical economics : TE ; journal of the Econometric … 12 (2017) 1, pp. 79-108
Persistent link: https://www.econbiz.de/10011645958
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On the existence of approximate equilibria and sharing rule solutions in discontinuous games
Bich, Philippe; Laraki, Rida - In: Theoretical economics : TE ; an open access journal in … 12 (2017) 1, pp. 79-108
This paper studies the existence of equilibrium solution concepts in a large class of economic models with discontinuous payoff functions. The issue is well understood for Nash equilibria, thanks to Reny’s better-reply security con- dition ( Reny 1999) and its recent improvements (Barelli and...
Persistent link: https://www.econbiz.de/10011704653
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A Unified Approach to Equilibrium Existence in Discontinuous Strategic Games.
Bich, Philippe; Laraki, Rida - Centre d'Économie de la Sorbonne, Université Paris 1 … - 2012
Several relaxations of Nash equilibrium are shown to exist in strategic games with discontinuous payoff functions. Those relaxations are used to extend and unify several recent results and link Reny's better-reply security condition [Reny, P.J. (1999). On the existence of Pure and Mixed Strategy...
Persistent link: https://www.econbiz.de/10010555547
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Equilibrium existence in games with ties
Olszewski, Wojciech; Siegel, Ron - In: Theoretical economics : TE ; an open access journal in … 18 (2023) 2, pp. 481-502
We provide conditions that simplify applying Reny's (1999) better-reply security to Bayesian games and use these conditions to prove the existence of equilibria for classes of games in which payoff discontinuities arise only at “ties.” These games include a general version of all-pay...
Persistent link: https://www.econbiz.de/10014325193
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Catalog competition and Nash equilibrium in nonlinear pricing games
Monteiro, Paulo; Page, Frank - In: Economic Theory 34 (2008) 3, pp. 503-524
Persistent link: https://www.econbiz.de/10005596649
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A Unified Approach to Equilibrium Existence in Discontinuous Strategic Games
Bich, Philippe; Laraki, Rida - HAL - 2012
Several relaxations of Nash equilibrium are shown to exist in strategic games with discontinuous payoff functions. Those relaxations are used to extend and unify several recent results and link Reny's better-reply security condition [Reny, P.J. (1999). On the existence of Pure and Mixed Strategy...
Persistent link: https://www.econbiz.de/10011025724
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On the Existence of Approximated Equilibria and Sharing-Rule Equilibria in Discontinuous Games
Bich, Philippe; Laraki, Rida - HAL - 2013
New relaxations of the Nash equilibrium concept are shown to exist in any strategic game with discontinuous payoff functions. The new concepts are used (1) to show the equivalence between Reny's better-reply security condition [28] and Simon-Zame's endogenous tie-breaking rule equilibrium...
Persistent link: https://www.econbiz.de/10011026129