Cooperative game theory deals with situations where objectives of participants of the game are partially cooperative and partially conflicting. It is in the interest of participants to cooperate in the sense of making binding agreements to achieve the maximum possible benefit. When it comes to distribution of benefit/payoffs, participants have conflicting interests. Such situations are usually modelled as cooperative games. While the book mainly discusses transferable utility games, there is also a brief analysis of non-transferable utility games. Alternative solution concepts to cooperative game theoretic problems are presented in chapters 1-9 and the next four chapters present issues related to computations of solutions discussed in the earlier chapters. The proofs of all results presented in the book are quite explicit. Additionally the mathematical techniques employed in demonstrating the results will be helpful to those who wish to learn application of mathematics for solving problems in game theory.
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Preface; 1. Introduction and motivation page; 2. Basics and preliminaries; 3. The core and some related solutions; 4. The bargaining set, kernel and nucleolus; 5. The Shapley value; 6. The core, Shapley value and Weber set; 7. Voting games; 8. Mathematical matching; 9. Non-transferable utility cooperative games; 10. Linear programming; 11. Algorithmic aspects of cooperative game theory; 12. Weighted majority games; 13. Stable matching algorithm; References; Index.
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This book deals with situations where objectives of participants of the game are partially cooperative and partially conflicting.
Produktdetaljer
ISBN
9781107058798
Publisert
2015-02-09
Utgiver
Vendor
Cambridge University Press
Vekt
440 gr
Høyde
239 mm
Bredde
159 mm
Dybde
21 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
273