Mathematical Reviews
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Published: 2007
Total Pages: 804
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A Game-Theoretic Perspective on Coalition Formation
Author: Debraj Ray
Publisher: Oxford University Press
Published: 2007-11
Total Pages: 336
ISBN-13: 019920795X
DOWNLOAD EBOOKDrawing 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.
An Introduction to Game Theory
Author: Martin J. Osborne
Publisher: Oxford University Press, USA
Published: 2009-01
Total Pages: 533
ISBN-13: 9780195322484
DOWNLOAD EBOOKThis text emphasizes the ideas behind modern game theory rather than their mathematical expression, but defines all concepts precisely. It covers strategic, extensive and coalitional games and includes the topics of repeated games, bargaining theory and evolutionary equilibrium.
Computational Aspects of Cooperative Game Theory
Author: Georgios Chalkiadakis
Publisher: Morgan & Claypool Publishers
Published: 2012
Total Pages: 171
ISBN-13: 1608456528
DOWNLOAD EBOOKCooperative 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.
Twenty Lectures on Algorithmic Game Theory
Author: Tim Roughgarden
Publisher: Cambridge University Press
Published: 2016-08-30
Total Pages: 356
ISBN-13: 1316781178
DOWNLOAD EBOOKComputer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas also travels in the other direction, and concepts from computer science are increasingly important in economics. This book grew out of the author's Stanford University course on algorithmic game theory, and aims to give students and other newcomers a quick and accessible introduction to many of the most important concepts in the field. The book also includes case studies on online advertising, wireless spectrum auctions, kidney exchange, and network management.
Political Game Theory
Author: Nolan McCarty
Publisher: Cambridge University Press
Published: 2014-10-30
Total Pages: 0
ISBN-13: 9781107438637
DOWNLOAD EBOOKPolitical Game Theory is a self-contained introduction to game theory and its applications to political science. The book presents choice theory, social choice theory, static and dynamic games of complete information, static and dynamic games of incomplete information, repeated games, bargaining theory, mechanism design and a mathematical appendix covering, logic, real analysis, calculus and probability theory. The methods employed have many applications in various disciplines including comparative politics, international relations and American politics. Political Game Theory is tailored to students without extensive backgrounds in mathematics, and traditional economics, however there are also many special sections that present technical material that will appeal to more advanced students. A large number of exercises are also provided to practice the skills and techniques discussed.
Models in Cooperative Game Theory
Author: Rodica Branzei
Publisher: Springer Science & Business Media
Published: 2008-03-08
Total Pages: 203
ISBN-13: 354077954X
DOWNLOAD EBOOKCooperative game theory is a booming research area with many new developments in the last few years. So, our main purpose when prep- ing the second edition was to incorporate as much of these new dev- opments as possible without changing the structure of the book. First, this o?ered us the opportunity to enhance and expand the treatment of traditional cooperative games, called here crisp games, and, especially, that of multi-choice games, in the idea to make the three parts of the monograph more balanced. Second, we have used the opportunity of a secondeditiontoupdateandenlargethelistofreferencesregardingthe threemodels of cooperative games. Finally, we have bene?ted fromthis opportunity by removing typos and a few less important results from the ?rst edition of the book, and by slightly polishing the English style and the punctuation, for the sake of consistency along the monograph. The main changes are: (1) Chapter 3 contains an additional section, Section 3. 3, on the - erage lexicographic value, which is a recent one-point solution concept de?ned on the class of balanced crisp games. (2) Chapter 4 is new. It o?ers a brief overview on solution c- cepts for crisp games from the point of view of egalitarian criteria, and presents in Section 4. 2 a recent set-valued solution concept based on egalitarian considerations, namely the equal split-o? set. (3)Chapter5isbasicallyanenlargedversionofChapter4ofthe?rst edition because Section 5. 4 dealing with the relation between convex games and clan games with crisp coalitions is new.
Game Theory
Author: Hans Peters
Publisher: Springer Science & Business Media
Published: 2008-08-15
Total Pages: 362
ISBN-13: 3540692916
DOWNLOAD EBOOKThis book presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It covers topics of interest in game theory, including cooperative game theory. Every chapter includes a problem section.
Trends in Mathematical Economics
Author: Alberto A. Pinto
Publisher: Springer
Published: 2016-07-30
Total Pages: 384
ISBN-13: 3319325434
DOWNLOAD EBOOKThis book gathers carefully selected works in Mathematical Economics, on myriad topics including General Equilibrium, Game Theory, Economic Growth, Welfare, Social Choice Theory, Finance. It sheds light on the ongoing discussions that have brought together leading researchers from Latin America and Southern Europe at recent conferences in venues like Porto, Portugal; Athens, Greece; and Guanajuato, Mexico. With this volume, the editors not only contribute to the advancement of research in these areas, but also inspire other scholars around the globe to collaborate and research these vibrant, emerging topics.
Modeling Strategic Behavior: A Graduate Introduction To Game Theory And Mechanism Design
Author: George J Mailath
Publisher: World Scientific
Published: 2018-12-18
Total Pages: 364
ISBN-13: 9813239956
DOWNLOAD EBOOKIt is impossible to understand modern economics without knowledge of the basic tools of gametheory and mechanism design. This book provides a graduate-level introduction to the economic modeling of strategic behavior. The goal is to teach Economics doctoral students the tools of game theory and mechanism design that all economists should know.
