A Game-Theoretic Perspective on Coalition Formation

A Game-Theoretic Perspective on Coalition Formation

Author: Debraj Ray

Publisher: Oxford University Press

Published: 2007-11

Total Pages: 336

ISBN-13: 019920795X

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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.


Game Theoretic Analysis of Voting in Committees

Game Theoretic Analysis of Voting in Committees

Author: Bezalel Peleg

Publisher:

Published: 1984

Total Pages: 200

ISBN-13:

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This book is a theoretical and completely rigorous analysis of voting in committees that provides mathematical proof of the existence of democratic voting systems, which are immune to the manipulation of preferences of coalitions of voters. The author begins by determining the power distribution among voters that is induced by a voting rule, giving particular consideration to choice by plurality voting and Borda's rule. He then constructs, for all possible committees, well-behaved representative voting procedures which are not distorted by strategic voting, giving complete solutions for certain important classes of committees. The solution to the problem of mass elections is fully characterised.


Game Theory, Alive

Game Theory, Alive

Author: Anna R. Karlin

Publisher: American Mathematical Soc.

Published: 2017-04-27

Total Pages: 400

ISBN-13: 1470419823

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We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities. This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics. The importance of game-theoretic thinking transcends the academic setting—for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others.


Game Theory

Game Theory

Author: John Eatwell

Publisher: Springer

Published: 1989-09-01

Total Pages: 275

ISBN-13: 1349201812

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This is an extract from the 4-volume dictionary of economics, a reference book which aims to define the subject of economics today. 1300 subject entries in the complete work cover the broad themes of economic theory. It concentrates on the topic of game theory.


Social and Economic Networks in Cooperative Game Theory

Social and Economic Networks in Cooperative Game Theory

Author: Marco Slikker

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 296

ISBN-13: 1461515696

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Social and Economic Networks in Cooperative Game Theory presents a coherent overview of theoretical literature that studies the influence and formation of networks in social and economic situations in which the relations between participants who are not included in a particular participant's network are not of consequence to this participant. The material is organized in two parts. In Part I the authors concentrate on the question how network structures affect economic outcomes. Part II of the book presents the formation of networks by agents who engage in a network-formation process to be able to realize the possible gains from cooperation.


Game Theory

Game Theory

Author: Drew Fudenberg

Publisher: MIT Press

Published: 1991-08-29

Total Pages: 616

ISBN-13: 9780262061414

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This advanced text introduces the principles of noncooperative game theory in a direct and uncomplicated style that will acquaint students with the broad spectrum of the field while highlighting and explaining what they need to know at any given point. This advanced text introduces the principles of noncooperative game theory—including strategic form games, Nash equilibria, subgame perfection, repeated games, and games of incomplete information—in a direct and uncomplicated style that will acquaint students with the broad spectrum of the field while highlighting and explaining what they need to know at any given point. The analytic material is accompanied by many applications, examples, and exercises. The theory of noncooperative games studies the behavior of agents in any situation where each agent's optimal choice may depend on a forecast of the opponents' choices. "Noncooperative" refers to choices that are based on the participant's perceived selfinterest. Although game theory has been applied to many fields, Fudenberg and Tirole focus on the kinds of game theory that have been most useful in the study of economic problems. They also include some applications to political science. The fourteen chapters are grouped in parts that cover static games of complete information, dynamic games of complete information, static games of incomplete information, dynamic games of incomplete information, and advanced topics.


Group Formation in Economics

Group Formation in Economics

Author: Gabrielle Demange

Publisher: Cambridge University Press

Published: 2005-01-10

Total Pages: 500

ISBN-13: 9781139444415

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Broad and diverse ranges of activities are conducted within and by organized groups of individuals, including political, economic and social activities. These activities have become a subject of intense interest in economics and game theory. Some of the topics investigated in this collection are models of networks of power and privilege, trade networks, co-authorship networks, buyer–seller networks with differentiated products, and networks of medical innovation and the adaptation of new information. Other topics are social norms on punctuality, clubs and the provision of club goods and public goods, research and development and collusive alliances among corporations, and international alliances and trading agreements. While relatively recent, the literature on game theoretic studies of group formation in economics is already vast. This volume provides an introduction to this important literature on game-theoretic treatments of situations with networks, clubs, and coalitions, including some applications.


Equilibrium and Dynamics

Equilibrium and Dynamics

Author: Mukul Majumdar

Publisher: Springer

Published: 1992-06-18

Total Pages: 374

ISBN-13: 1349116963

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Over the last 40 years, Professor David Gale has played a leading role in developing two themes of fundamental importance to economic theory. As a tribute to his creative research, this volume contains contributions from some leading researchers who explore different directions in these areas.


A Long-run Collaboration on Long-run Games

A Long-run Collaboration on Long-run Games

Author: Drew Fudenberg

Publisher: World Scientific

Published: 2009

Total Pages: 417

ISBN-13: 9812818464

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This book brings together the joint work of Drew Fudenberg and David Levine (through 2008) on the closely connected topics of repeated games and reputation effects, along with related papers on more general issues in game theory and dynamic games. The unified presentation highlights the recurring themes of their work.


An Introduction to Game Theory

An Introduction to Game Theory

Author: Martin J. Osborne

Publisher: Oxford University Press, USA

Published: 2009-01

Total Pages: 533

ISBN-13: 9780195322484

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This 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.