VARIATIONAL STABILITY OF SOCIAL NASH EQUILIBRIA

DOI10.1142/S0219198908001741zbMath1154.91312MaRDI QIDQ3530492

Vincenzo Scalzo, Jacqueline Morgan

Publication date: 20 October 2008

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

zbMATH Keywords

Nash equilibriumabstract economyvariational stabilitysequentially pseudocontinuous functionssocial Nash equilibrium

Mathematics Subject Classification ID

Noncooperative games (91A10) Sensitivity, stability, well-posedness (49K40) Perturbations of ordinary differential equations (34D10) Asymptotic behavior of solutions to equations on manifolds (58K55)

Related Items (6)

Discontinuous stable games and efficient Nash equilibria ⋮ Variational preferences and equilibria in games under ambiguous belief correspondences ⋮ Epi/hypo-convergence of bifunctions on general domains and approximations of quasi-variational problems ⋮ How to select a solution in generalized Nash equilibrium problems ⋮ Generalized Nash equilibrium problems ⋮ Lopsided convergence: an extension and its quantification

Cites Work

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• Maximal elements of weakly continuous relations
• Pseudocontinuity in optimization and nonzero-sum games
• New results on value functions and applications to MaxSup and MaxInf problems
• Asymptotical behavior of finite and possible discontinuous economies
• On convergence results for weak efficiency in vector optimization problems with equilibrium constraints
• Non-cooperative games
• Continuity Properties of Paretian Utility
• Ordered Topological Spaces
• A Social Equilibrium Existence Theorem*

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