Strategic Equilibrium For Cooperative Games

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Strategic Equilibrium for Cooperative Games

Giovanni Efraín Reyes Ortiz, PH D,Gabriel J Turbay Bernal, PH D
Strategic Equilibrium for Cooperative Games Book PDF

Author : Giovanni Efraín Reyes Ortiz, PH D,Gabriel J Turbay Bernal, PH D
Publisher : Independently Published
Page : 156 pages
File Size : 47,5 Mb
Release : 2021-07-26
Category : Electronic
ISBN : 9798544094784

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Strategic Equilibrium for Cooperative Games by Giovanni Efraín Reyes Ortiz, PH D,Gabriel J Turbay Bernal, PH D Pdf

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.

Collective Rationality

Paul Weirich
Collective Rationality Book PDF

Author : Paul Weirich
Publisher : OUP USA
Page : 283 pages
File Size : 47,9 Mb
Release : 2010
Category : Business & Economics
ISBN : 9780195388381

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Collective Rationality by Paul Weirich Pdf

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 Theoretic Analysis

Leon A Petrosyan,David Wing Kay Yeung
Game Theoretic Analysis Book PDF

Author : Leon A Petrosyan,David Wing Kay Yeung
Publisher : World Scientific
Page : 621 pages
File Size : 49,5 Mb
Release : 2019-10-14
Category : Mathematics
ISBN : 9789811202025

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Game Theoretic Analysis by Leon A Petrosyan,David Wing Kay Yeung Pdf

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.

Dynamic Noncooperative Game Theory

Tamer Basar,Geert Jan Olsder
Dynamic Noncooperative Game Theory Book PDF

Author : Tamer Basar,Geert Jan Olsder
Publisher : SIAM
Page : 526 pages
File Size : 43,5 Mb
Release : 1999-01-01
Category : Mathematics
ISBN : 9781611971132

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Dynamic Noncooperative Game Theory by Tamer Basar,Geert Jan Olsder Pdf

Recent interest in biological games and mathematical finance make this classic 1982 text a necessity once again. Unlike other books in the field, this text provides an overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and simultaneously stresses the role of different information patterns. The first edition was fully revised in 1995, adding new topics such as randomized strategies, finite games with integrated decisions, and refinements of Nash equilibrium. Readers can now look forward to even more recent results in this unabridged, revised SIAM Classics edition. Topics covered include static and dynamic noncooperative game theory, with an emphasis on the interplay between dynamic information patterns and structural properties of several different types of equilibria; Nash and Stackelberg solution concepts; multi-act games; Braess paradox; differential games; the relationship between the existence of solutions of Riccati equations and the existence of Nash equilibrium solutions; and infinite-horizon differential games.

Non-Cooperative Game Theory

Takako Fujiwara-Greve
Non Cooperative Game Theory Book PDF

Author : Takako Fujiwara-Greve
Publisher : Springer
Page : 260 pages
File Size : 48,6 Mb
Release : 2015-06-17
Category : Mathematics
ISBN : 9784431556459

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Non-Cooperative Game Theory by Takako Fujiwara-Greve Pdf

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.

Game Theory

Roger A. McCain
Game Theory Book PDF

Author : Roger A. McCain
Publisher : World Scientific
Page : 632 pages
File Size : 49,9 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814289658

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Game Theory by Roger A. McCain Pdf

Fundamentals; Two-Person Games; Larger Numbers and Uncertainty; Games in Extensive Form and Repeated Play; Cooperation; Behavioral Game Theory; Selected Applications.

Game Theoretic Analysis

Leon Aganesovich Petrosi︠a︡n
Game Theoretic Analysis Book PDF

Author : Leon Aganesovich Petrosi︠a︡n
Publisher : Unknown
Page : 620 pages
File Size : 49,7 Mb
Release : 2019
Category : Cooperative games (Mathematics)
ISBN : 981120201X

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Game Theoretic Analysis by Leon Aganesovich Petrosi︠a︡n Pdf

"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."--

Computational Aspects of Cooperative Game Theory

Georgios Chalkiadakis,Edith Elkind,Michael J. Wooldridge
Computational Aspects of Cooperative Game Theory Book PDF

Author : Georgios Chalkiadakis,Edith Elkind,Michael J. Wooldridge
Publisher : Morgan & Claypool Publishers
Page : 171 pages
File Size : 42,5 Mb
Release : 2012
Category : Computers
ISBN : 9781608456529

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Computational Aspects of Cooperative Game Theory by Georgios Chalkiadakis,Edith Elkind,Michael J. Wooldridge Pdf

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.

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

Roger A Mccain
Game Theory A Nontechnical Introduction To The Analysis Of Strategy Fourth Edition Book PDF

Author : Roger A Mccain
Publisher : World Scientific
Page : 548 pages
File Size : 50,5 Mb
Release : 2023-05-29
Category : Mathematics
ISBN : 9789811262975

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

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.

Cooperation: Game-Theoretic Approaches

Sergiu Hart,Andreu Mas-Colell
Cooperation Game Theoretic Approaches Book PDF

Author : Sergiu Hart,Andreu Mas-Colell
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 47,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642604546

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Cooperation: Game-Theoretic Approaches by Sergiu Hart,Andreu Mas-Colell Pdf

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

Roger A McCain
Game Theory Book PDF

Author : Roger A McCain
Publisher : World Scientific Publishing Company
Page : 600 pages
File Size : 49,6 Mb
Release : 2014-04-29
Category : Mathematics
ISBN : 9789814578899

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Game Theory by Roger A McCain Pdf

The objective of the third edition of Game Theory: A Nontechnical Introduction to the Analysis of Strategy is to introduce the ideas of game theory in a way that is approachable, intuitive, and interdisciplinary. Relying on the Karplus Learning Cycle, the book is intended to teach by example. Noncooperative equilibrium concepts such as Nash equilibrium play the central role. In this third edition, increased stress is placed on the concept of rationalizable strategies, which has proven in teaching practice to assist students in making the bridge from intuitive to more formal concepts of noncooperative equilibrium. The Instructor Manual and PowerPoint Slides for the book are available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected].

Game Theory and Public Policy, SECOND EDITION

Roger A. McCain
Game Theory and Public Policy SECOND EDITION Book PDF

Author : Roger A. McCain
Publisher : Edward Elgar Publishing
Page : 320 pages
File Size : 45,8 Mb
Release : 2015-11-25
Category : Business & Economics
ISBN : 9781784710903

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Game Theory and Public Policy, SECOND EDITION by Roger A. McCain Pdf

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.

Game Theory with Applications to Economics

James W. Friedman
Game Theory with Applications to Economics Book PDF

Author : James W. Friedman
Publisher : Oxford University Press, USA
Page : 394 pages
File Size : 55,5 Mb
Release : 1990
Category : Economics, Mathematical
ISBN : UCSD:31822004925319

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Game Theory with Applications to Economics by James W. Friedman Pdf

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.

GAME THEORY

Roger B. Myerson
GAME THEORY Book PDF

Author : Roger B. Myerson
Publisher : Harvard University Press
Page : 585 pages
File Size : 51,8 Mb
Release : 2013-03-01
Category : Business & Economics
ISBN : 9780674728615

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GAME THEORY by Roger B. Myerson Pdf

Eminently suited to classroom use as well as individual study, Roger Myerson's introductory text provides a clear and thorough examination of the models, solution concepts, results, and methodological principles of noncooperative and cooperative game theory. Myerson introduces, clarifies, and synthesizes the extraordinary advances made in the subject over the past fifteen years, presents an overview of decision theory, and comprehensively reviews the development of the fundamental models: games in extensive form and strategic form, and Bayesian games with incomplete information.

Economics and the Theory of Games

Michael Bacharach
Economics and the Theory of Games Book PDF

Author : Michael Bacharach
Publisher : CRC Press
Page : 177 pages
File Size : 41,8 Mb
Release : 2019-09-18
Category : Mathematics
ISBN : 9780429728099

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Economics and the Theory of Games by Michael Bacharach Pdf

This textbook offers a systematic, self-contained account of the main contributions of modern game theory and its applications to economics. Starting with a detailed description of how to model strategic situations, the discussion proceeds by studying basic solution concepts, their main refinements, games played under incomplete information, and repeated games. For each of these theoretical developments, there is a companion set of applications that cover the most representative instances of game-theoretic analysis in economics, e.g. oligopolistic competition, public goods, coordination failures, bargaining, insurance markets, implementation theory, signaling and auctions. The theory and applications covered in the first part of the book fall under the so-called 'classical' approach to game theory, which is founded on the paradigm of players' unlimited rationality. The second part shifts towards topics that no longer abide by that paradigm. This leads to the study of topics such as the interplay between evolution and rationality.