Fixed Points and Economic Equilibria (Series on Mathematical Economics and Game Theory)

Urai, Ken

World Scientific Publishing Co Pte Ltd（2010/05発売）

• 製本 Hardcover:ハードカバー版／ページ数 312 p.
• 言語 ENG
• 商品コード 9789812837189
• DDC分類 330.0151

基本説明

This book presents a systematic approach to problems in economic equilibrium based on fixed-point arguments and rigorous set-theoretical (axiomatic) methods.

Full Description

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, and in the methodology and philosophy of social sciences. It can thus serve as a graduate-level textbook on mathematical economics as well as an advanced monograph for students and researchers who are concerned about rigorous mathematical treatment in the social sciences.

Contents

Fixed-Point Theorems; Nash Equilibrium and Abstract Economy; Gale-Nikaido-Debreu's Theorem; General Economic Equilibrium; The Čech-Type Homology Theory and Fixed Points; Dual-System Structure and Fixed-Point Index; Applications to Related Topics; Mathematics and Social Sciences.