Chapters in Game Theory
:
Peter Borm, H.J. Peters (Eds.)
:
Chapters in Game Theory
:
Kluwer Academic Publishers
:
9780306475269
:
1
:
CHF 92.30
:
:
Naturwissenschaft
:
English
:
328
:
DRM
:
PC/MAC/eReader/Tablet
:
PDF
Chapters in Game Theory has been written on the occasion of the 65th birthday of Stef Tijs, who can be regarded as the godfather of game theory in the Netherlands. The contributors all are indebted to Stef Tijs, as former Ph.D. students or otherwise. The book contains fourteen chapters on a wide range of subjects. Some of these can be considered surveys while other chapters present new results: most contributions can be positioned somewhere in between these categories. The topics covered include: cooperative stochastic games, noncooperative stochastic games, sequencing games, games arising form linear (semi-) infinite programming problems, network formation, costs and potential games, potentials and consistency in transferable utility games, the nucleolus and equilibrium prices, population uncertainty and equilibrium selection, cost sharing, centrality in social networks, extreme points of the core, equilibrium sets of bimatrix games, game theory and the market, and transfer procedures for nontransferable utility games. Both editors did their Ph.D with Stef Tijs, while he was affiliated with the mathematics department of the University of Nijmegen.
Preface
6
About Stef Tijs
7
About this book
7
About the authors
10
Contents
14
Chapter 1 Stochastic Cooperative Games: Theory and Applications
19
1.1 Introduction
19
1.2 Cooperative Decision-Making under Risk
23
1.2.1 Chance-Constrained Games
23
1.2.2 Stochastic Cooperative Games with Transfer Payments
25
1.2.3 Stochastic Cooperative Games without Transfer Payments
29
1.3 Cost Allocation in a Network Tree
33
1.4 Bankruptcy Problems with Random Estate
37
1.5 Concluding Remarks
40
Appendix
41
References
43
Chapter 2 Sequencing Games: a Survey
45
2.1 Introduction
45
2.2 Games Related to Sequencing Games
47
2.3 Sequencing Situations and Sequencing Games
