Strategic Equilibrium For Cooperative Games

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Collective Rationality

Author : Paul Weirich
Publisher : Oxford University Press
ISBN 13 : 019974145X
Total Pages : 283 pages
Book Rating : 4.1/5 (997 download)

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Book Synopsis Collective Rationality by : Paul Weirich

Download or read book Collective Rationality written by Paul Weirich and published by Oxford University Press. This book was released on 2009-12-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groups of people perform acts that are subject to standards of rationality. A committee may sensibly award fellowships, or may irrationally award them in violation of its own policies. A theory of collective rationality defines collective acts that are evaluable for rationality and formulates principles for their evaluation. This book argues that a group's act is evaluable for rationality if it is the products of acts its members fully control. It also argues that such an act is collectively rational if the acts of the group's members are rational. Efficiency is a goal of collective rationality, but not a requirement, except in cases where conditions are ideal for joint action and agents have rationally prepared for joint action. The people engaged in a game of strategy form a group, and the combination of their acts yields a collective act. If their collective act is rational, it constitutes a solution to their game. A theory of collective rationality yields principles concerning solutions to games. One principle requires that a solution constitute an equilibrium among the incentives of the agents in the game. In a cooperative game some agents are coalitions of individuals, and it may be impossible for all agents to pursue all incentives. Because rationality is attainable, the appropriate equilibrium standard for cooperative games requires that agents pursue only incentives that provide sufficient reasons to act. The book's theory of collective rationality supports an attainable equilibrium-standard for solutions to cooperative games and shows that its realization follows from individuals' rational acts. By extending the theory of rationality to groups, this book reveals the characteristics that make an act evaluable for rationality and the way rationality's evaluation of an act responds to the type of control its agent exercises over the act. The book's theory of collective rationality contributes to philosophical projects such as contractarian ethics and to practical projects such as the design of social institutions.

Strategic Equilibrium for Cooperative Games

Author : Giovanni Efraín Reyes Ortiz, PH D
Publisher : Independently Published
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Strategic Equilibrium for Cooperative Games by : Giovanni Efraín Reyes Ortiz, PH D

Download or read book Strategic Equilibrium for Cooperative Games written by Giovanni Efraín Reyes Ortiz, PH D and published by Independently Published. This book was released on 2021-07-26 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to introduce a theory of solutions for the n-person cooperative game through the simple case with 3-persons. It is intended to give the necessary background for readers, students and researchers in the quantitative and social sciences to enhance their theories and approaches with basic mathematical tools applied and developed for game theory analysis within a systems perspective. Von Neumann and Morgenstern introduced the theory of games as the "proper instrument with which to develop a theory of economic behavior". The snowballing development of game theory and its applications, in the last seventy years, has proven to be not only the proper instrument to develop a theory of economic behavior but the appropriate one for developing the theories for different types of interactive behavior as studied in political, social, environmental, biological, economic and behavioral sciences. Modeling examples of such applications are presented throughout the book.

Game Theoretic Analysis

Author : Leon A Petrosyan
Publisher : World Scientific
ISBN 13 : 9811202028
Total Pages : 621 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Game Theoretic Analysis by : Leon A Petrosyan

Download or read book Game Theoretic Analysis written by Leon A Petrosyan and published by World Scientific. This book was released on 2019-10-14 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of recent novel contributions in game theory from a group of prominent authors in the field. It covers Non-cooperative Games, Equilibrium Analysis, Cooperative Games and Axiomatic Values in static and dynamic contexts.Part 1: Non-cooperative Games and Equilibrium AnalysisIn game theory, a non-cooperative game is a game with competition between individual players and in which only self-enforcing (e.g. through credible threats) alliances (or competition between groups of players, called 'coalitions') are possible due to the absence of external means to enforce cooperative behavior (e.g. contract law), as opposed to cooperative games. In fact, non-cooperative games are the foundation for the development of cooperative games by acting as the status quo. Non-cooperative games are generally analysed through the framework of equilibrium, which tries to predict players' individual strategies and payoffs. Indeed, equilibrium analysis is the centre of non-cooperative games. This volume on non-cooperative games and equilibrium analysis contains a variety of non-cooperative games and non-cooperative game equilibria from prominent authors in the field.Part 2: Cooperative Games and Axiomatic ValuesIt is well known that non-cooperative behaviours, in general, would not lead to a Pareto optimal outcome. Highly undesirable outcomes (like the prisoner's dilemma) and even devastating results (like the tragedy of the commons) could appear when the involved parties only care about their individual interests in a non-cooperative situation. Cooperative games offer the possibility of obtaining socially optimal and group efficient solutions to decision problems involving strategic actions. In addition, axiomatic values serve as guidance for establishing cooperative solutions. This volume on cooperative games and axiomatic values presents a collection of cooperative games and axiomatic values from prominent authors in the field.

Collective Rationality

Author : Paul Weirich
Publisher : OUP USA
ISBN 13 : 0195388380
Total Pages : 283 pages
Book Rating : 4.1/5 (953 download)

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Book Synopsis Collective Rationality by : Paul Weirich

Download or read book Collective Rationality written by Paul Weirich and published by OUP USA. This book was released on 2010 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groups of people perform acts that are subject to standards of rationality. The book's theory of collective rationality explains how to evaluate collective acts. The people engaged in a game of strategy collectively produce an outcome, and the theory reveals what makes some outcomes solutions. It generates new equilibrium standards for solutions to cooperative games.

Game Theory

Author : John Eatwell
Publisher : Springer
ISBN 13 : 1349201812
Total Pages : 275 pages
Book Rating : 4.3/5 (492 download)

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Book Synopsis Game Theory by : John Eatwell

Download or read book Game Theory written by John Eatwell and published by Springer. This book was released on 1989-09-01 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Non-Cooperative Game Theory

Author : Takako Fujiwara-Greve
Publisher : Springer
ISBN 13 : 4431556451
Total Pages : 263 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Non-Cooperative Game Theory by : Takako Fujiwara-Greve

Download or read book Non-Cooperative Game Theory written by Takako Fujiwara-Greve and published by Springer. This book was released on 2015-06-17 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook for university juniors, seniors, and graduate students majoring in economics, applied mathematics, and related fields. Each chapter is structured so that a core concept of that chapter is presented with motivations, useful applications are given, and related advanced topics are discussed for future study. Many helpful exercises at various levels are provided at the end of each chapter. Therefore, this book is most suitable for readers who intend to study non-cooperative game theory rigorously for both theoretical studies and applications. Game theory consists of non-cooperative games and cooperative games. This book covers only non-cooperative games, which are major tools used in current economics and related areas. Non-cooperative game theory aims to provide a mathematical prediction of strategic choices by decision makers (players) in situations of conflicting interest. Through the logical analyses of strategic choices, we obtain a better understanding of social (economic, business) problems and possible remedies. The book contains many well-known games such as the prisoner’s dilemma, chicken (hawk–dove) game, coordination game, centipede game, and Cournot, Bertrand, and Stackelberg models in oligopoly. It also covers some advanced frameworks such as repeated games with non-simultaneous moves, repeated games with overlapping generations, global games, and voluntarily separable repeated prisoner’s dilemma, so that readers familiar with basic game theory can expand their knowledge. The author’s own research is reflected in topics such as formulations of information and evolutionary stability, which makes this book unique.

Dynamic Noncooperative Game Theory

Author : Tamer Basar
Publisher : SIAM
ISBN 13 : 089871429X
Total Pages : 526 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Dynamic Noncooperative Game Theory by : Tamer Basar

Download or read book Dynamic Noncooperative Game Theory written by Tamer Basar and published by SIAM. This book was released on 1999-01-01 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and the role of different information patterns.

Game Theory: A Nontechnical Introduction To The Analysis Of Strategy (Fourth Edition)

Author : Roger A Mccain
Publisher : World Scientific
ISBN 13 : 9811262977
Total Pages : 548 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Game Theory: A Nontechnical Introduction To The Analysis Of Strategy (Fourth Edition) by : Roger A Mccain

Download or read book Game Theory: A Nontechnical Introduction To The Analysis Of Strategy (Fourth Edition) written by Roger A Mccain and published by World Scientific. This book was released on 2023-05-29 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: As with the previous editions, this fourth edition relies on teaching by example and the Karplus Learning Cycle to convey the ideas of game theory in a way that is approachable, intuitive, and interdisciplinary. Noncooperative equilibrium concepts such as Nash equilibrium, mixed strategy equilibria, and subgame perfect equilibrium are systematically introduced in the first half of the book. Bayesian Nash equilibrium is briefly introduced. The subsequent chapters discuss cooperative solutions with and without side payments, rationalizable strategies and correlated equilibria, and applications to elections, social mechanism design, and larger-scale games. New examples include panic buying, supply-chain shifts in the pandemic, and global warming.

Game Theoretic Analysis

Author : Leon Aganesovich Petrosi︠a︡n
Publisher :
ISBN 13 : 9789811202018
Total Pages : 620 pages
Book Rating : 4.2/5 (2 download)

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Book Synopsis Game Theoretic Analysis by : Leon Aganesovich Petrosi︠a︡n

Download or read book Game Theoretic Analysis written by Leon Aganesovich Petrosi︠a︡n and published by . This book was released on 2019 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is a collection of recent novel contributions in game theory from a group of prominent authors in the field. It covers Non-cooperative Games, Equilibrium Analysis, Cooperative Games and Axiomatic Values in static and dynamic contexts. Part 1: Non-cooperative Games and Equilibrium Analysis: In game theory, a non-cooperative game is a game with competition between individual players and in which only self-enforcing (e.g. through credible threats) alliances (or competition between groups of players, called "coalitions") are possible due to the absence of external means to enforce cooperative behavior (e.g. contract law), as opposed to cooperative games. In fact, non-cooperative games are the foundation for the development of cooperative games by acting as the status quo. Non-cooperative games are generally analysed through the framework of equilibrium, which tries to predict players' individual strategies and payoffs. Indeed, equilibrium analysis is the centre of non-cooperative games. This volume on non-cooperative games and equilibrium analysis contains a variety of non-cooperative games and non-cooperative game equilibria from prominent authors in the field. Part 2: Cooperative Games and Axiomatic Values: It is well known that non-cooperative behaviours, in general, would not lead to a Pareto optimal outcome. Highly undesirable outcomes (like the prisoner's dilemma) and even devastating results (like the tragedy of the commons) could appear when the involved parties only care about their individual interests in a non-cooperative situation. Cooperative games offer the possibility of obtaining socially optimal and group efficient solutions to decision problems involving strategic actions. In addition, axiomatic values serve as guidance for establishing cooperative solutions. This volume on cooperative games and axiomatic values presents a collection of cooperative games and axiomatic values from prominent authors in the field."--

Cooperation: Game-Theoretic Approaches

Author : Sergiu Hart
Publisher : Springer Science & Business Media
ISBN 13 : 3642604544
Total Pages : 331 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Cooperation: Game-Theoretic Approaches by : Sergiu Hart

Download or read book Cooperation: Game-Theoretic Approaches written by Sergiu Hart and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues relating to the emergence, persistence, and stability of cooperation among social agents of every type are widely recognized to be of paramount importance. They are also analytically difficult and intellectually challenging. This book, arising from a NATO Advanced Study Institute held at SUNY in 1994, is an up-to-date presentation of the contribution of game theory to the subject. The contributors are leading specialists who focus on the problem from the many different angles of game theory, including axiomatic bargaining theory, the Nash program of non-cooperative foundations, game with complete information, repeated and sequential games, bounded rationality methods, evolutionary theory, experimental approaches, and others. Together they offer significant progress in understanding cooperation.

Game Theory

Author : Roger A. McCain
Publisher : World Scientific
ISBN 13 : 9814289655
Total Pages : 632 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Game Theory by : Roger A. McCain

Download or read book Game Theory written by Roger A. McCain and published by World Scientific. This book was released on 2010 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals; Two-Person Games; Larger Numbers and Uncertainty; Games in Extensive Form and Repeated Play; Cooperation; Behavioral Game Theory; Selected Applications.

Strategies and Games, second edition

Author : Prajit K. Dutta
Publisher : MIT Press
ISBN 13 : 0262368501
Total Pages : 713 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Strategies and Games, second edition by : Prajit K. Dutta

Download or read book Strategies and Games, second edition written by Prajit K. Dutta and published by MIT Press. This book was released on 2022-08-09 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Game Theory and Public Policy, SECOND EDITION

Author : Roger A. McCain
Publisher : Edward Elgar Publishing
ISBN 13 : 1784710903
Total Pages : 392 pages
Book Rating : 4.7/5 (847 download)

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Book Synopsis Game Theory and Public Policy, SECOND EDITION by : Roger A. McCain

Download or read book Game Theory and Public Policy, SECOND EDITION written by Roger A. McCain and published by Edward Elgar Publishing. This book was released on 2015-12-18 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a critical, selective review of concepts from game theory and their applications in public policy, and further suggests some modifications for some of the models (chiefly in cooperative game theory) to improve their applicability to economics and public policy.

The Essential John Nash

Author : John Nash
Publisher : Princeton University Press
ISBN 13 : 140088408X
Total Pages : 273 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Essential John Nash by : John Nash

Download or read book The Essential John Nash written by John Nash and published by Princeton University Press. This book was released on 2016-06-29 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: When John Nash won the Nobel prize in economics in 1994, many people were surprised to learn that he was alive and well. Since then, Sylvia Nasar's celebrated biography A Beautiful Mind, the basis of a new major motion picture, has revealed the man. The Essential John Nash reveals his work--in his own words. This book presents, for the first time, the full range of Nash's diverse contributions not only to game theory, for which he received the Nobel, but to pure mathematics--from Riemannian geometry and partial differential equations--in which he commands even greater acclaim among academics. Included are nine of Nash's most influential papers, most of them written over the decade beginning in 1949. From 1959 until his astonishing remission three decades later, the man behind the concepts "Nash equilibrium" and "Nash bargaining"--concepts that today pervade not only economics but nuclear strategy and contract talks in major league sports--had lived in the shadow of a condition diagnosed as paranoid schizophrenia. In the introduction to this book, Nasar recounts how Nash had, by the age of thirty, gone from being a wunderkind at Princeton and a rising mathematical star at MIT to the depths of mental illness. In his preface, Harold Kuhn offers personal insights on his longtime friend and colleague; and in introductions to several of Nash's papers, he provides scholarly context. In an afterword, Nash describes his current work, and he discusses an error in one of his papers. A photo essay chronicles Nash's career from his student days in Princeton to the present. Also included are Nash's Nobel citation and autobiography. The Essential John Nash makes it plain why one of Nash's colleagues termed his style of intellectual inquiry as "like lightning striking." All those inspired by Nash's dazzling ideas will welcome this unprecedented opportunity to trace these ideas back to the exceptional mind they came from.

Decision Making Using Game Theory

Author : Anthony Kelly
Publisher : Cambridge University Press
ISBN 13 : 9781139438131
Total Pages : 228 pages
Book Rating : 4.4/5 (381 download)

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Book Synopsis Decision Making Using Game Theory by : Anthony Kelly

Download or read book Decision Making Using Game Theory written by Anthony Kelly and published by Cambridge University Press. This book was released on 2003-03-27 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory is a key element in most decision-making processes involving two or more people or organisations. This book explains how game theory can predict the outcome of complex decision-making processes, and how it can help you to improve your own negotiation and decision-making skills. It is grounded in well-established theory, yet the wide-ranging international examples used to illustrate its application offer a fresh approach to an essential weapon in the armoury of the informed manager. The book is accessibly written, explaining in simple terms the underlying mathematics behind games of skill, before moving on to more sophisticated topics such as zero-sum games, mixed-motive games, and multi-person games, coalitions and power. Clear examples and helpful diagrams are used throughout, and the mathematics is kept to a minimum. It is written for managers, students and decision makers in any field.

Game Theory Basics

Author : Bernhard von Stengel
Publisher : Cambridge University Press
ISBN 13 : 1108910645
Total Pages : 376 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Game Theory Basics by : Bernhard von Stengel

Download or read book Game Theory Basics written by Bernhard von Stengel and published by Cambridge University Press. This book was released on 2021-08-19 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory is the science of interaction. This textbook, derived from courses taught by the author and developed over several years, is a comprehensive, straightforward introduction to the mathematics of non-cooperative games. It teaches what every game theorist should know: the important ideas and results on strategies, game trees, utility theory, imperfect information, and Nash equilibrium. The proofs of these results, in particular existence of an equilibrium via fixed points, and an elegant direct proof of the minimax theorem for zero-sum games, are presented in a self-contained, accessible way. This is complemented by chapters on combinatorial games like Go; and, it has introductions to algorithmic game theory, traffic games, and the geometry of two-player games. This detailed and lively text requires minimal mathematical background and includes many examples, exercises, and pictures. It is suitable for self-study or introductory courses in mathematics, computer science, or economics departments.

Game Theory with Applications to Economics

Author : James W. Friedman
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 394 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Game Theory with Applications to Economics by : James W. Friedman

Download or read book Game Theory with Applications to Economics written by James W. Friedman and published by Oxford University Press, USA. This book was released on 1990 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on examples from current economic literature and politics, this is the first book on game theory at an introductory, but not elementary, level. The author covers topics of great actual or potential use in economics, such as noncooperative games, infinitely repeated games, finitely repeated games, two-person cooperative games, and cooperative games with and without side payments. Thoroughly revised, the new second edition of this authoritative book includes greatly expanded coverage of equilibrium refinements, and the "folk theorem" for repeated games as well as a new chapter on finite noncooperative games.