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Computational Aspects of Cooperative Game Theory
Georgios Chalkiadakis
Edith Elkind
Michael J. Wooldridge
出版
Morgan & Claypool Publishers
, 2012
主題
Computers / Artificial Intelligence / General
Computers / Computer Science
Computers / Data Science / Machine Learning
Mathematics / Game Theory
ISBN
1608456528
9781608456529
URL
http://books.google.com.hk/books?id=bN9aC0uabBAC&hl=&source=gbs_api
EBook
SAMPLE
註釋
Cooperative game theory is a branch of (micro-)economics that studies the behavior of self-interested agents in strategic settings where binding agreements among agents are possible. Our aim in this book is to present a survey of work on the computational aspects of cooperative game theory. We begin by formally defining transferable utility games in characteristic function form, and introducing key solution concepts such as the core and the Shapley value. We then discuss two major issues that arise when considering such games from a computational perspective: identifying compact representations for games, and the closely related problem of efficiently computing solution concepts for games. We survey several formalisms for cooperative games that have been proposed in the literature, including, for example, cooperative games defined on networks, as well as general compact representation schemes such as MC-nets and skill games. As a detailed case study, we consider weighted voting games: a widely-used and practically important class of cooperative games that inherently have a natural compact representation. We investigate the complexity of solution concepts for such games, and generalizations of them. We briefly discuss games with non-transferable utility and partition function games. We then overview algorithms for identifying welfare-maximizing coalition structures and methods used by rational agents to form coalitions (even under uncertainty), including bargaining algorithms. We conclude by considering some developing topics, applications, and future research directions.