03547nam 2200589Ia 450 991079205560332120230803023704.01-299-28121-4981-4390-66-6(CKB)2560000000099530(EBL)1143300(OCoLC)830161963(SSID)ssj0000833184(PQKBManifestationID)12367388(PQKBTitleCode)TC0000833184(PQKBWorkID)10935764(PQKB)10093160(MiAaPQ)EBC1143300(WSP)00002892(Au-PeEL)EBL1143300(CaPaEBR)ebr10674359(CaONFJC)MIL459371(EXLCZ)99256000000009953020120809d2013 uy 0engur|n|---|||||txtccrExistence and stability of Nash equilibrium[electronic resource] /Guilherme CarmonaSingapore ;Hackensack, NJ World Scientificc20131 online resource (153 p.)Description based upon print version of record.981-4390-65-8 Includes bibliographical references and index.Preface; Acknowledgements; Contents; 1. Introduction; 2. Continuous Normal-Form Games; 2.1 Notation and Definitions; 2.2 Existence of Nash Equilibria; 2.3 Mixed Strategies; 2.4 Stability of Nash Equilibria; 2.5 Existence of Nash Equilibria via Approximate Equilibria; 3. Generalized Better-Reply Secure Games; 3.1 Generalized Better-Reply Security and Existence of Equilibrium; 3.2 Examples; 3.3 Two Characterizations of Generalized Better-Reply Security; 3.4 Better-Reply Security; 3.5 Sufficient Conditions; 3.6 Mixed Strategies; 3.7 References; 4. Stronger Existence Results4.1 Multi-Player Well-Behaved Security4.2 Diagonal Transfer Continuity; 4.3 Generalized C-Security; 4.4 Lower Single-Deviation Property; 4.5 Generalized Weak Transfer Continuity; 4.6 References; 5. Limit Results; 5.1 A General Limit Result; 5.2 Two Characterization of the Limit Problem for ε-Equilibria; 5.3 Sufficient Conditions for Limit Results; 5.4 Existence of ε-Equilibrium; 5.5 Continuity of the Nash Equilibrium Correspondence; 5.6 Strategic Approximation; 5.7 References; 6. Games With an Endogenous Sharing Rule; 6.1 Existence and Stability of Solutions; 6.2 References7. Games With a Continuum of Players7.1 Notation and Definitions; 7.2 Existence of Equilibrium Distributions; 7.3 Relationship With Finite-Player Games; 7.4 Proof of the Existence Theorem for Non-atomic Games; 7.5 References; Appendix A Mathematical Appendix; Bibliography; IndexThe book aims at describing the recent developments in the existence and stability of Nash equilibrium. The two topics are central to game theory and economics and have been extensively researched. Recent results on existence and stability of Nash equilibrium are scattered and the relationship between them has not been explained clearly. The book will make these results easily accessible and understandable to researchers in the field.Equilibrium (Economics)Game theoryEquilibrium (Economics)Game theory.519.3Carmona Guilherme520797MiAaPQMiAaPQMiAaPQBOOK9910792055603321Existence and stability of Nash equilibrium834775UNINA