The Resource Existence and Stability of Nash Equilibrium, (electronic resource)

Existence and Stability of Nash Equilibrium, (electronic resource)

Label
Existence and Stability of Nash Equilibrium
Title
Existence and Stability of Nash Equilibrium
Creator
Subject
Genre
Language
eng
Summary
The 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
Cataloging source
AU-PeEL
http://library.link/vocab/creatorName
Carmona, Guilherme
Dewey number
519.3
LC call number
HB144 .C367 2013
Nature of contents
dictionaries
http://library.link/vocab/subjectName
  • Equilibrium (Economics)
  • Game theory
Label
Existence and Stability of Nash Equilibrium, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Contents
  • 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 Results
  • 4.1 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 References
  • 7. 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; Index
Dimensions
unknown
Extent
1 online resource (153 p.)
Form of item
electronic
Isbn
9789814390651
Specific material designation
remote
System control number
  • (CKB)2560000000099530
  • (EBL)1143300
  • (OCoLC)830161963
Label
Existence and Stability of Nash Equilibrium, (electronic resource)
Publication
Note
Description based upon print version of record
Contents
  • 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 Results
  • 4.1 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 References
  • 7. 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; Index
Dimensions
unknown
Extent
1 online resource (153 p.)
Form of item
electronic
Isbn
9789814390651
Specific material designation
remote
System control number
  • (CKB)2560000000099530
  • (EBL)1143300
  • (OCoLC)830161963

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