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Author: Debraj Ray
Publisher: Oxford University Press
ISBN: 019920795X
Category : Business & Economics
Languages : en
Pages : 336
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Book Description
Drawing upon and extending his inaugural Lipsey Lectures, Debraj Ray looks at coalition formation from the perspective of game theory. Ray brings together developments in both cooperative and noncooperative game theory to study the analytics of coalition formation and binding agreements.
Author: Debraj Ray
Publisher: Oxford University Press
ISBN: 019920795X
Category : Business & Economics
Languages : en
Pages : 336
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Book Description
Drawing upon and extending his inaugural Lipsey Lectures, Debraj Ray looks at coalition formation from the perspective of game theory. Ray brings together developments in both cooperative and noncooperative game theory to study the analytics of coalition formation and binding agreements.
Author: Melvin Dresher
Publisher: Princeton University Press
ISBN: 140088201X
Category : Mathematics
Languages : en
Pages : 693
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Book Description
A classic treatment of game theory from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Author: Christian Schmidt
Publisher: Routledge
ISBN: 1134511183
Category : Business & Economics
Languages : en
Pages : 202
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Book Description
This book presents the huge variety of current contributions of game theory to economics. The reader is taken through a concise history of game theory and exposed to original pieces of work that are significant to game theory as a whole.
Author: James P. Kahan
Publisher: Psychology Press
ISBN: 131776918X
Category : Psychology
Languages : en
Pages : 371
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Book Description
First published in 1984. In this book, the authors set forth the central ideas and results of the major theories of coalition forming behavior. These theories address situations of partial conflict of interest with the following aspects: (1) there are three or more players, (2) players may openly communicate with each other, and (3) players form coalitions by freely negotiating agreements on how to disburse the gains that result from the coalition members’ joint coordinated efforts. These models arise from the two disciplines of mathematics, in the theory of cooperative n-person games with side payments, and social psychology, in theories of small group behavior in mixed-motive situations. The goal is to explore the various solution concepts that make up this body of theory, and in particular to examine the psychological premises that underlie the various theoretical models.
Author: Georgios Chalkiadakis
Publisher: Morgan & Claypool Publishers
ISBN: 1608456528
Category : Computers
Languages : en
Pages : 171
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Book Description
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.
Author: Prajit K. Dutta
Publisher: MIT Press
ISBN: 0262046520
Category : Business & Economics
Languages : en
Pages : 713
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Book Description
The new edition of a widely used introduction to game theory and its applications, with a focus on economics, business, and politics. This widely used introduction to game theory is rigorous but accessible, unique in its balance between the theoretical and the practical, with examples and applications following almost every theory-driven chapter. In recent years, game theory has become an important methodological tool for all fields of social sciences, biology and computer science. This second edition of Strategies and Games not only takes into account new game theoretical concepts and applications such as bargaining and matching, it also provides an array of chapters on game theory applied to the political arena. New examples, case studies, and applications relevant to a wide range of behavioral disciplines are now included. The authors map out alternate pathways through the book for instructors in economics, business, and political science. The book contains four parts: strategic form games, extensive form games, asymmetric information games, and cooperative games and matching. Theoretical topics include dominance solutions, Nash equilibrium, Condorcet paradox, backward induction, subgame perfection, repeated and dynamic games, Bayes-Nash equilibrium, mechanism design, auction theory, signaling, the Shapley value, and stable matchings. Applications and case studies include OPEC, voting, poison pills, Treasury auctions, trade agreements, pork-barrel spending, climate change, bargaining and audience costs, markets for lemons, and school choice. Each chapter includes concept checks and tallies end-of-chapter problems. An appendix offers a thorough discussion of single-agent decision theory, which underpins game theory.
Author: Zhu Han
Publisher: Cambridge University Press
ISBN: 0521196965
Category : Business & Economics
Languages : en
Pages : 555
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Book Description
This unified 2001 treatment of game theory focuses on finding state-of-the-art solutions to issues surrounding the next generation of wireless and communications networks. The key results and tools of game theory are covered, as are various real-world technologies and a wide range of techniques for modeling, design and analysis.
Author: László Á. Kóczy
Publisher: Springer
ISBN: 3319698419
Category : Mathematics
Languages : en
Pages : 320
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Book Description
This book presents a systematic overview on partition function form games: a game form in cooperative game theory to integrate externalities for various applications. Cooperative game theory has been immensely useful to study a wide range of issues, but the standard approaches ignore the side effects of cooperation. Recently interest shifted to problems where externalities play the main roles such as models of cooperation in market competition or the shared use of public resources. Such problems require richer models that can explicitly evaluate the side-effects of cooperation. In partition function form games the value of cooperation depends on the outsiders' actions. A recent surge of interest driven by applications has made results very fragmented. This book offers an accessible, yet comprehensive and systematic study of properties, solutions and applications of partition function games surveying both theoretical results and their applications. It assembles a survey of existing research and smaller original results as well as original interpretations and comparisons. The book is self-contained and accessible for readers with little or no knowledge of cooperative game theory.
Author: Imma Curiel
Publisher: Springer Science & Business Media
ISBN: 147574871X
Category : Business & Economics
Languages : en
Pages : 198
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Book Description
In this book applications of cooperative game theory that arise from combinatorial optimization problems are described. It is well known that the mathematical modeling of various real-world decision-making situations gives rise to combinatorial optimization problems. For situations where more than one decision-maker is involved classical combinatorial optimization theory does not suffice and it is here that cooperative game theory can make an important contribution. If a group of decision-makers decide to undertake a project together in order to increase the total revenue or decrease the total costs, they face two problems. The first one is how to execute the project in an optimal way so as to increase revenue. The second one is how to divide the revenue attained among the participants. It is with this second problem that cooperative game theory can help. The solution concepts from cooperative game theory can be applied to arrive at revenue allocation schemes. In this book the type of problems described above are examined. Although the choice of topics is application-driven, it also discusses theoretical questions that arise from the situations that are studied. For all the games described attention will be paid to the appropriateness of several game-theoretic solution concepts in the particular contexts that are considered. The computation complexity of the game-theoretic solution concepts in the situation at hand will also be considered.
Author: Satya R. Chakravarty
Publisher: Cambridge University Press
ISBN: 1107058791
Category : Business & Economics
Languages : en
Pages : 277
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Book Description
"Deals with real life situations where objectives of the participants are partially cooperative and partially conflicting"--
