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Existence and Stability of Nash Equilibrium [electronic resource].

By: Material type: TextTextPublication details: Singapore : World Scientific Publishing Company, 2012.Description: 1 online resource (153 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9789814390668
  • 9814390666
Subject(s): Genre/Form: Additional physical formats: Print version:: Existence and Stability of Nash Equilibrium.DDC classification:
  • 519.3
LOC classification:
  • HB144
Online resources:
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.
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.
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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

Print version record.

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.

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.

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.

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