Game theory and its applications

by Matsumoto, Akio

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Title Statements

Full title :Game theory and its applications / Akio Matsumoto, Ferenc Szidarovszky.

Summary

This book integrates the fundamentals, methodology, and major application fields of noncooperative and cooperative games including conflict resolution. The topics addressed in the book are discrete and continuous games including games represented by finite trees; matrix and bimatrix games as well as oligopolies; cooperative solution concepts; games under uncertainty; dynamic games and conflict resolution. The methodology is illustrated by carefully chosen examples, applications and case studies which are selected from economics, social sciences, engineering, the military and homeland security. This book is highly recommended to readers who are interested in the in-depth and up-to-date integration of the theory and ever-expanding application areas of game theory.

Edition Statements

Publication Date:©2016

Publication Statements

Publisher(s):Institute of Economic Research, Chuo University, Springer
Place of Publication:Tokyo
Language:eng
Publication Date:©2016

The Physical Object

Description:1 online resource (xiv, 268 pages) : : illustrations

Edition Identifiers

ISBN:9784431547860, 443154786X
DOI:10.1007/978-4-431-54786-0
oclc:ocn920673588
LC Classification:HB144
Dewey Decimal:330.015193

1 Introduction -- Part I Noncooperative Games -- 2 Discrete Static Games -- 3 Continuous Static Games -- 4 Relation to Other Mathematical Problems -- 5 Existence of Equilibria -- 6 Computation of Equilibria -- 7 Special Matrix Games -- 8 Uniqueness of Equilibria -- 9 Repeated and Dynamic Games -- 10 Games under Uncertainty -- Part II Cooperative Games -- 11 Solutions based on Characteristic Functions -- 12 Conflict Resolution -- 13 Multiobjective Optimization -- 14 Social Choice -- 15 Case Studies and Applications -- Appendices -- A Vector and Matrix Norms -- B Convexity, Concavity -- C Optimum Conditions -- D Fixed Point Theorems -- E Monotonic Mappings -- F Duality in Linear Programming -- G Multiobjective Optimization -- H Stability and Controllability -- References.

Subjects

BUSINESS & ECONOMICS -- Economics BUSINESS & ECONOMICS -- Reference Economics Économie politique Game theory -- Mathematical models Théorie des jeux -- Modèles mathématiqu…