Existence of pure Nash equilibria in discontinuous and non quasiconcave games

DOI10.1007/s00182-009-0160-yzbMath1211.91020OpenAlexW2110472898MaRDI QIDQ532683

Bich Philippe

Publication date: 5 May 2011

Published in: International Journal of Game Theory (Search for Journal in Brave)

Full work available at URL: https://halshs.archives-ouvertes.fr/halshs-00426402/file/09061.pdf

zbMATH Keywords

Nash equilibriumdiscontinuityquasiconcavity

Mathematics Subject Classification ID

Noncooperative games (91A10) (n)-person games, (n>2) (91A06)

Related Items (17)

Reducible equilibrium properties: comments on recent existence results ⋮ Existence of Nash equilibrium in ordinal games with discontinuous preferences ⋮ Majorized correspondences and equilibrium existence in discontinuous games ⋮ Nash equilibrium in discontinuous games ⋮ The single deviation property in games with discontinuous payoffs ⋮ Games for cautious players: the equilibrium in secure strategies ⋮ Essential equilibria of discontinuous games ⋮ Equilibria with discontinuous preferences: new fixed point theorems ⋮ Existence of Nash equilibrium in games with a measure space of players and discontinuous payoff functions ⋮ Equilibria in a class of aggregative location games ⋮ Power sharing and electoral equilibrium ⋮ On the existence of mixed strategy Nash equilibria ⋮ Better response dynamics and Nash equilibrium in discontinuous games ⋮ Poor convexity and Nash equilibria in games ⋮ Weakly continuous security and Nash equilibrium ⋮ Further results on essential Nash equilibria in normal-form games ⋮ Discontinuous games with asymmetric information: an extension of Reny's existence theorem

Cites Work

• An existence result for discontinuous games
• Existence of solutions of games with some non-convexity
• Fixed points of contractible valued correspondences
• Non-convexity in noncooperative game theory
• The Existence of Equilibrium in Discontinuous Economic Games, I: Theory
• Equilibrium Points in Nonzero-Sum n-Person Submodular Games
• The Reliability of Policy Recommendations and Forecasts from Linear Econometric Models
• Characterizations of the Existence of Equilibria in Games with Discontinuous and Non-quasiconcave Payoffs
• On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games
• Reciprocal Upper Semicontinuity and Better Reply Secure Games: A Comment
• Quasi-Equilibria in Markets with Non-Convex Preferences

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