Fixed points and economic equilibria / Ken Urai.

Format:

Book

Author/Creator:

Urai, Ken, 1962-

Series:

Series on mathematical economics and game theory ; v. 5.

Series on mathematical economics and game theory ; v. 5

Language:

English

Subjects (All):

Equilibrium (Economics)--Mathematical models.

Equilibrium (Economics).

Fixed point theory.

Physical Description:

1 online resource (312 p.)

Edition:

1st ed.

Place of Publication:

Hackensack, N.J. : World Scientific, c2010.

Language Note:

English

Summary:

This book presents a systematic approach to problems in economic equilibrium based on fixed-point arguments and rigorous set-theoretical (axiomatic) methods. It describes the highest-level research on the classical theme, fixed points and economic equilibria, in the theory of mathematical economics, and also presents basic results in this area, especially in the general equilibrium theory and non-co-operative game theory. The arguments also contain distinguishable developments of the main theme in the homology theory for general topological spaces, in the model theory and mathematical logic, a

Contents:

Preface; Contents; 1 Introduction; 2 Fixed-Point Theorems; 3 Nash Equilibrium and Abstract Economy; 4 Gale-Nikaido-Debreu's Theorem; 5 General Economic Equilibrium; 6 The Cech Type Homology Theory and Fixed Points; 7 Convex Structure and Fixed-Point Index; 8 Applications to Related Topics; 9 Mathematics and Social Science; 10 Concluding Discussions; Mathematical Appendix I; Mathematical Appendix II; Mathematical Appendix III; References; Index

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 277-284) and index.

ISBN:

9786612760723

9781282760721

1282760726

9789812837196

9812837191

OCLC:

670429746