Game theory and its applications
著者
書誌事項
Game theory and its applications
Springer, c2016
- : [hardback]
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注記
Includes bibliographical references (p. 261-263) and index
"IERCU, Institute of Economic Research, Chuo University"
内容説明・目次
内容説明
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.
目次
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.
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