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Axiomatic Bargaining Game Theory

Author: H.J. Peters

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 244

ISBN-13: 9401580227

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Many social or economic conflict situations can be modeled by specifying the alternatives on which the involved parties may agree, and a special alternative which summarizes what happens in the event that no agreement is reached. Such a model is called a bargaining game, and a prescription assigning an alternative to each bargaining game is called a bargaining solution. In the cooperative game-theoretical approach, bargaining solutions are mathematically characterized by desirable properties, usually called axioms. In the noncooperative approach, solutions are derived as equilibria of strategic models describing an underlying bargaining procedure. Axiomatic Bargaining Game Theory provides the reader with an up-to-date survey of cooperative, axiomatic models of bargaining, starting with Nash's seminal paper, The Bargaining Problem. It presents an overview of the main results in this area during the past four decades. Axiomatic Bargaining Game Theory provides a chapter on noncooperative models of bargaining, in particular on those models leading to bargaining solutions that also result from the axiomatic approach. The main existing axiomatizations of solutions for coalitional bargaining games are included, as well as an auxiliary chapter on the relevant demands from utility theory.

Book Synopsis Axiomatic Bargaining Game Theory by : H.J. Peters

Download or read book Axiomatic Bargaining Game Theory written by H.J. Peters and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many social or economic conflict situations can be modeled by specifying the alternatives on which the involved parties may agree, and a special alternative which summarizes what happens in the event that no agreement is reached. Such a model is called a bargaining game, and a prescription assigning an alternative to each bargaining game is called a bargaining solution. In the cooperative game-theoretical approach, bargaining solutions are mathematically characterized by desirable properties, usually called axioms. In the noncooperative approach, solutions are derived as equilibria of strategic models describing an underlying bargaining procedure. Axiomatic Bargaining Game Theory provides the reader with an up-to-date survey of cooperative, axiomatic models of bargaining, starting with Nash's seminal paper, The Bargaining Problem. It presents an overview of the main results in this area during the past four decades. Axiomatic Bargaining Game Theory provides a chapter on noncooperative models of bargaining, in particular on those models leading to bargaining solutions that also result from the axiomatic approach. The main existing axiomatizations of solutions for coalitional bargaining games are included, as well as an auxiliary chapter on the relevant demands from utility theory.

Game-Theoretic Models of Bargaining

Author: Alvin E. Roth

Publisher: Cambridge University Press

Published: 1985-11-29

Total Pages: 402

ISBN-13: 0521267579

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This book provides a comprehensive picture of the new developments in bargaining theory.

Book Synopsis Game-Theoretic Models of Bargaining by : Alvin E. Roth

Axiomatic Models of Bargaining

Author: A.E. Roth

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 129

ISBN-13: 3642515703

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The problem to be considered here is the one faced by bargainers who must reach a consensus--i.e., a unanimous decision. Specifically, we will be consid ering n-person games in which there is a set of feasible alternatives, any one of which can be the outcome of bargaining if it is agreed to by all the bargainers. In the event that no unanimous agreement is reached, some pre-specified disagree ment outcome will be the result. Thus, in games of this type, each player has a veto over any alternative other than the disagreement outcome. There are several reasons for studying games of this type. First, many negotiating situations, particularly those involving only two bargainers (i.e., when n = 2), are conducted under essentially these rules. Also, bargaining games of this type often occur as components of more complex processes. In addi tion, the simplicity of bargaining games makes them an excellent vehicle for studying the effect of any assumptions which are made in their analysis. The effect of many of the assumptions which are made in the analysis of more complex cooperative games can more easily be discerned in studying bargaining games. The various models of bargaining considered here will be studied axioma- cally. That is, each model will be studied by specifying a set of properties which serve to characterize it uniquely.

Book Synopsis Axiomatic Models of Bargaining by : A.E. Roth

Download or read book Axiomatic Models of Bargaining written by A.E. Roth and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem to be considered here is the one faced by bargainers who must reach a consensus--i.e., a unanimous decision. Specifically, we will be consid ering n-person games in which there is a set of feasible alternatives, any one of which can be the outcome of bargaining if it is agreed to by all the bargainers. In the event that no unanimous agreement is reached, some pre-specified disagree ment outcome will be the result. Thus, in games of this type, each player has a veto over any alternative other than the disagreement outcome. There are several reasons for studying games of this type. First, many negotiating situations, particularly those involving only two bargainers (i.e., when n = 2), are conducted under essentially these rules. Also, bargaining games of this type often occur as components of more complex processes. In addi tion, the simplicity of bargaining games makes them an excellent vehicle for studying the effect of any assumptions which are made in their analysis. The effect of many of the assumptions which are made in the analysis of more complex cooperative games can more easily be discerned in studying bargaining games. The various models of bargaining considered here will be studied axioma- cally. That is, each model will be studied by specifying a set of properties which serve to characterize it uniquely.

Game Theoretic Analysis

Author: Leon A Petrosyan

Publisher: World Scientific

Published: 2019-10-14

Total Pages: 621

ISBN-13: 9811202028

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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.

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.

Theory and Applications of Relational Structures as Knowledge Instruments

Author: H. C. M. de Swart

Publisher: Springer Science & Business Media

Published: 2003-12-16

Total Pages: 280

ISBN-13: 3540207805

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Relational structures abound in our daily environment: relational databases, data mining, scaling procedures, preference relations, etc. As the documentation of scientific results achieved within the European COST Action 274, TARSKI, this book advances the understanding of relational structures and the use of relational methods in various application fields. The 12 revised full papers were carefully reviewed and selected for presentations. The papers are devoted to mechanization of relational reasoning, relational scaling and preferences, and algebraic and logical foundations of real world relations.

Book Synopsis Theory and Applications of Relational Structures as Knowledge Instruments by : H. C. M. de Swart

Download or read book Theory and Applications of Relational Structures as Knowledge Instruments written by H. C. M. de Swart and published by Springer Science & Business Media. This book was released on 2003-12-16 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relational structures abound in our daily environment: relational databases, data mining, scaling procedures, preference relations, etc. As the documentation of scientific results achieved within the European COST Action 274, TARSKI, this book advances the understanding of relational structures and the use of relational methods in various application fields. The 12 revised full papers were carefully reviewed and selected for presentations. The papers are devoted to mechanization of relational reasoning, relational scaling and preferences, and algebraic and logical foundations of real world relations.

Bargaining Theory with Applications

Author: Abhinay Muthoo

Publisher: Cambridge University Press

Published: 1999-08-19

Total Pages: 378

ISBN-13: 9780521576475

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Graduate textbook presenting abstract models of bargaining in a unified framework with detailed applications involving economic, political and social situations.

Book Synopsis Bargaining Theory with Applications by : Abhinay Muthoo

Download or read book Bargaining Theory with Applications written by Abhinay Muthoo and published by Cambridge University Press. This book was released on 1999-08-19 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate textbook presenting abstract models of bargaining in a unified framework with detailed applications involving economic, political and social situations.

Game Theory

Author: Shaun Hargreaves-Heap

Publisher: Routledge

Published: 2004-03-01

Total Pages: 392

ISBN-13: 1134531052

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In recent years game theory has swept through all of the social sciences. Its practitioners have great designs for it, claiming that it offers an opportunity to unify the social sciences and that it it the natural foundation of a rational theory of society. Game Theory is for those who are intrigued but baffled by these claims, and daunted by the technical demands of most introductions to the subject. Requiring no more than simple arithmetic, the book: * Traces the origins of Game Theory and its philosophical premises * Looks at its implications for the theory of bargaining and social contract theory * Gives a detailed exposition of all of the major `games' including the famous `prisoner's dilemma' * Analyses cooperative, non cooperative, repeated, evolutionary and experimental games

Book Synopsis Game Theory by : Shaun Hargreaves-Heap

Download or read book Game Theory written by Shaun Hargreaves-Heap and published by Routledge. This book was released on 2004-03-01 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years game theory has swept through all of the social sciences. Its practitioners have great designs for it, claiming that it offers an opportunity to unify the social sciences and that it it the natural foundation of a rational theory of society. Game Theory is for those who are intrigued but baffled by these claims, and daunted by the technical demands of most introductions to the subject. Requiring no more than simple arithmetic, the book: * Traces the origins of Game Theory and its philosophical premises * Looks at its implications for the theory of bargaining and social contract theory * Gives a detailed exposition of all of the major `games' including the famous `prisoner's dilemma' * Analyses cooperative, non cooperative, repeated, evolutionary and experimental games

Axiomatic Theory of Bargaining with a Variable Number of Agents

Author: William Thomson

Publisher: Cambridge University Press

Published: 1989-02-24

Total Pages: 224

ISBN-13: 0521343836

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In this book, Professor Thomson and Professor Lensberg extrapolate upon the Nash (1950) treatment of the bargaining problem to consider the situation where the number of bargainers may vary. The authors formulate axioms to specify how solutions should respond to such changes, and provide new characterizations of all the major solutions as well as generalizations of these solutions. The book also contains several other comparative studies of solutions in the context of a variable number of agents. Much of the theory of bargaining can be rewritten within this context. The pre-eminence of the three solutions at the core of the classical theory is confirmed. These are the solutions introducted by Nash (1950) and two solutions axiomatized in the 1970s (Kalai-Smorodinsky and egalitarian solutions).

Book Synopsis Axiomatic Theory of Bargaining with a Variable Number of Agents by : William Thomson

Download or read book Axiomatic Theory of Bargaining with a Variable Number of Agents written by William Thomson and published by Cambridge University Press. This book was released on 1989-02-24 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Professor Thomson and Professor Lensberg extrapolate upon the Nash (1950) treatment of the bargaining problem to consider the situation where the number of bargainers may vary. The authors formulate axioms to specify how solutions should respond to such changes, and provide new characterizations of all the major solutions as well as generalizations of these solutions. The book also contains several other comparative studies of solutions in the context of a variable number of agents. Much of the theory of bargaining can be rewritten within this context. The pre-eminence of the three solutions at the core of the classical theory is confirmed. These are the solutions introducted by Nash (1950) and two solutions axiomatized in the 1970s (Kalai-Smorodinsky and egalitarian solutions).

A Course in Game Theory

Author: Martin J. Osborne

Publisher: MIT Press

Published: 1994-07-12

Total Pages: 374

ISBN-13: 9780262650403

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A Course in Game Theory presents the main ideas of game theory at a level suitable for graduate students and advanced undergraduates, emphasizing the theory's foundations and interpretations of its basic concepts. The authors provide precise definitions and full proofs of results, sacrificing generalities and limiting the scope of the material in order to do so. The text is organized in four parts: strategic games, extensive games with perfect information, extensive games with imperfect information, and coalitional games. It includes over 100 exercises.

Book Synopsis A Course in Game Theory by : Martin J. Osborne

Download or read book A Course in Game Theory written by Martin J. Osborne and published by MIT Press. This book was released on 1994-07-12 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Game Theory presents the main ideas of game theory at a level suitable for graduate students and advanced undergraduates, emphasizing the theory's foundations and interpretations of its basic concepts. The authors provide precise definitions and full proofs of results, sacrificing generalities and limiting the scope of the material in order to do so. The text is organized in four parts: strategic games, extensive games with perfect information, extensive games with imperfect information, and coalitional games. It includes over 100 exercises.

Game-Theoretic Models of Bargaining

Author: Alvin E. Roth

Publisher: Cambridge University Press

Published: 1985-11-29

Total Pages: 0

ISBN-13: 9780521267571

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Game-Theoretic Models of Bargaining provides a comprehensive picture of the new developments in bargaining theory. It especially shows the way the use of axiomatic models has been complemented by the new results derived from strategic models. The papers in this volume are edited versions of those given at a conference on Game Theoretic Models of Bargaining held at the University of Pittsburgh. There are two distinct reasons why the study of bargaining is of fundamental importance in economics. The first is that many aspects of economic activity are directly influenced by bargaining between and among individuals, firms, and nations. The second is that bargaining occupies an important place in economic theory, since the 'pure bargaining problem' is at the opposite pole of economic phenomena from the case of 'perfect competition'. This volume is an outgrowth of the renewed interest in the strategic approach to the theory of bargaining and to the general theory of non-cooperative games.

Book Synopsis Game-Theoretic Models of Bargaining by : Alvin E. Roth

Download or read book Game-Theoretic Models of Bargaining written by Alvin E. Roth and published by Cambridge University Press. This book was released on 1985-11-29 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game-Theoretic Models of Bargaining provides a comprehensive picture of the new developments in bargaining theory. It especially shows the way the use of axiomatic models has been complemented by the new results derived from strategic models. The papers in this volume are edited versions of those given at a conference on Game Theoretic Models of Bargaining held at the University of Pittsburgh. There are two distinct reasons why the study of bargaining is of fundamental importance in economics. The first is that many aspects of economic activity are directly influenced by bargaining between and among individuals, firms, and nations. The second is that bargaining occupies an important place in economic theory, since the 'pure bargaining problem' is at the opposite pole of economic phenomena from the case of 'perfect competition'. This volume is an outgrowth of the renewed interest in the strategic approach to the theory of bargaining and to the general theory of non-cooperative games.