Properties Of Solution Concepts For N Person Cooperative Games

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Cooperative Game Theory and Applications

Author : Imma Curiel
Publisher : Springer Science & Business Media
ISBN 13 : 147574871X
Total Pages : 198 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Cooperative Game Theory and Applications by : Imma Curiel

Download or read book Cooperative Game Theory and Applications written by Imma Curiel and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book applications of cooperative game theory that arise from combinatorial optimization problems are described. It is well known that the mathematical modeling of various real-world decision-making situations gives rise to combinatorial optimization problems. For situations where more than one decision-maker is involved classical combinatorial optimization theory does not suffice and it is here that cooperative game theory can make an important contribution. If a group of decision-makers decide to undertake a project together in order to increase the total revenue or decrease the total costs, they face two problems. The first one is how to execute the project in an optimal way so as to increase revenue. The second one is how to divide the revenue attained among the participants. It is with this second problem that cooperative game theory can help. The solution concepts from cooperative game theory can be applied to arrive at revenue allocation schemes. In this book the type of problems described above are examined. Although the choice of topics is application-driven, it also discusses theoretical questions that arise from the situations that are studied. For all the games described attention will be paid to the appropriateness of several game-theoretic solution concepts in the particular contexts that are considered. The computation complexity of the game-theoretic solution concepts in the situation at hand will also be considered.

Properties of Solution Concepts for N-person Cooperative Games

Author : Mohamed Rabie
Publisher :
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Properties of Solution Concepts for N-person Cooperative Games by : Mohamed Rabie

Download or read book Properties of Solution Concepts for N-person Cooperative Games written by Mohamed Rabie and published by . This book was released on 1980 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solution Concepts of N-person Cooperative Games as Points in the Game Space

Author : Richard Decker Spinetto
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Solution Concepts of N-person Cooperative Games as Points in the Game Space by : Richard Decker Spinetto

Download or read book Solution Concepts of N-person Cooperative Games as Points in the Game Space written by Richard Decker Spinetto and published by . This book was released on 1971 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solution Concepts for N-person Cooperative Games

Author : Zhi Zhang
Publisher :
ISBN 13 :
Total Pages : 218 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Solution Concepts for N-person Cooperative Games by : Zhi Zhang

Download or read book Solution Concepts for N-person Cooperative Games written by Zhi Zhang and published by . This book was released on 1985 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Cooperative Games, Solutions and Applications

Author : Theo S. H. Driessen
Publisher : Springer Science & Business Media
ISBN 13 : 9401577870
Total Pages : 235 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Cooperative Games, Solutions and Applications by : Theo S. H. Driessen

Download or read book Cooperative Games, Solutions and Applications written by Theo S. H. Driessen and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the theory of games was started in Von Neumann (1928), but the development of the theory of games was accelerated after the publication of the classical book "Theory of games and economic behavior" by Von Neumann and Morgenstern (1944). As an initial step, the theory of games aims to put situations of conflict and cooperation into mathematical models. In the second and final step, the resulting models are analysed on the basis of equitable and mathematical reasonings. The conflict and/or cooperative situation in question is generally due to the interaction between two or more individuals (players). Their interaction may lead up to several potential payoffs over which each player has his own preferences. Any player attempts to achieve his largest possible payoff, but the other players may also exert their influence on the realization of some potential payoff. As already mentioned, the theory of games consists of two parts, a modelling part and a solution part. Concerning the modelling part, the mathematical models of conflict and cooperative situations are described. The description of the models includes the rules, the strategy space of any player, potential payoffs to the players, the preferences of each player over the set of all potential payoffs, etc. According to the rules, it is either permitted or forbidden that the players communicate with one another in order to make binding agreements regarding their mutual actions.

Models in Cooperative Game Theory

Author : Rodica Branzei
Publisher : Springer Science & Business Media
ISBN 13 : 354077954X
Total Pages : 203 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Models in Cooperative Game Theory by : Rodica Branzei

Download or read book Models in Cooperative Game Theory written by Rodica Branzei and published by Springer Science & Business Media. This book was released on 2008-03-08 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cooperative 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.

Introduction to the Theory of Cooperative Games

Author : Bezalel Peleg
Publisher : Springer Science & Business Media
ISBN 13 : 3540729453
Total Pages : 336 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Introduction to the Theory of Cooperative Games by : Bezalel Peleg

Download or read book Introduction to the Theory of Cooperative Games written by Bezalel Peleg and published by Springer Science & Business Media. This book was released on 2007-08-15 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically presents the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games as well as the core, the Shapley value, and the ordinal bargaining set of NTU games. The authors devote a separate chapter to each solution, wherein they study its properties in full detail. In addition, important variants are defined or even intensively analyzed.

N-Person Game Theory

Author : Anatol Rapoport
Publisher : Courier Corporation
ISBN 13 : 0486143678
Total Pages : 337 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis N-Person Game Theory by : Anatol Rapoport

Download or read book N-Person Game Theory written by Anatol Rapoport and published by Courier Corporation. This book was released on 2013-06-17 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVSequel to Two-Person Game Theory introduces necessary mathematical notation (mainly set theory), presents basic concepts and models, and provides applications to social situations. /div

The Geometry of Solution Concepts for N-person Cooperative Games

Author : Richard D. Spinetto
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.P/5 (13 download)

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Book Synopsis The Geometry of Solution Concepts for N-person Cooperative Games by : Richard D. Spinetto

Download or read book The Geometry of Solution Concepts for N-person Cooperative Games written by Richard D. Spinetto and published by . This book was released on 1972 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Aspects of Cooperative Game Theory

Author : Georgios Chalkiadakis
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1608456528
Total Pages : 171 pages
Book Rating : 4.6/5 (84 download)

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Book Synopsis Computational Aspects of Cooperative Game Theory by : Georgios Chalkiadakis

Download or read book Computational Aspects of Cooperative Game Theory written by Georgios Chalkiadakis and published by Morgan & Claypool Publishers. This book was released on 2012 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of the Shapley Value

Author : Encarnación Algaba
Publisher : CRC Press
ISBN 13 : 1351241397
Total Pages : 507 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Handbook of the Shapley Value by : Encarnación Algaba

Download or read book Handbook of the Shapley Value written by Encarnación Algaba and published by CRC Press. This book was released on 2019-12-06 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of the Shapley Value contains 24 chapters and a foreword written by Alvin E. Roth, who was awarded the Nobel Memorial Prize in Economic Sciences jointly with Lloyd Shapley in 2012. The purpose of the book is to highlight a range of relevant insights into the Shapley value. Every chapter has been written to honor Lloyd Shapley, who introduced this fascinating value in 1953. The first chapter, by William Thomson, places the Shapley value in the broader context of the theory of cooperative games, and briefly introduces each of the individual contributions to the volume. This is followed by a further contribution from the editors of the volume, which serves to introduce the more significant features of the Shapley value. The rest of the chapters in the book deal with different theoretical or applied aspects inspired by this interesting value and have been contributed specifically for this volume by leading experts in the area of Game Theory. Chapters 3 through to 10 are more focused on theoretical aspects of the Shapley value, Chapters 11 to 15 are related to both theoretical and applied areas. Finally, from Chapter 16 to Chapter 24, more attention is paid to applications of the Shapley value to different problems encountered across a diverse range of fields. As expressed by William Thomson in the Introduction to the book, "The chapters contribute to the subject in several dimensions: Mathematical foundations; axiomatic foundations; computations; applications to special classes of games; power indices; applications to enriched classes of games; applications to concretely specified allocation problems: an ever-widening range, mapping allocation problems into games or implementation." Nowadays, the Shapley value continues to be as appealing as when it was first introduced in 1953, or perhaps even more so now that its potential is supported by the quantity and quality of the available results. This volume collects a large amount of work that definitively demonstrates that the Shapley value provides answers and solutions to a wide variety of problems.

Fuzzy and Multiobjective Games for Conflict Resolution

Author : Ichiro Nishizaki
Publisher : Physica
ISBN 13 : 3790818305
Total Pages : 264 pages
Book Rating : 4.7/5 (98 download)

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Book Synopsis Fuzzy and Multiobjective Games for Conflict Resolution by : Ichiro Nishizaki

Download or read book Fuzzy and Multiobjective Games for Conflict Resolution written by Ichiro Nishizaki and published by Physica. This book was released on 2013-06-05 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decision makers in managerial and public organizations often encounter de cision problems under conflict or competition, because they select strategies independently or by mutual agreement and therefore their payoffs are then affected by the strategies of the other decision makers. Their interests do not always coincide and are at times even completely opposed. Competition or partial cooperation among decision makers should be considered as an essen tial part of the problem when we deal with the decision making problems in organizations which consist of decision makers with conflicting interests. Game theory has been dealing with such problems and its techniques have been used as powerful analytical tools in the resolution process of the decision problems. The publication of the great work by J. von Neumann and O. Morgen stern in 1944 attracted attention of many people and laid the foundation of game theory. We can see remarkable advances in the field of game theory for analysis of economic situations and a number of books in the field have been published in recent years. The aim of game theory is to specify the behavior of each player so as to optimize the interests of the player. It then recommends a set of solutions as strategies so that the actions chosen by each decision maker (player) lead to an outcome most profitable for himself or her self.

Consensus Under Fuzziness

Author : J. Kacprzyk
Publisher : Springer Science & Business Media
ISBN 13 : 146156333X
Total Pages : 297 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Consensus Under Fuzziness by : J. Kacprzyk

Download or read book Consensus Under Fuzziness written by J. Kacprzyk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: We live, unfortunately, in turbulent and difficult times plagued by various political, economic, and social problems, as well as by natural disasters worldwide. Systems become more and more complicated, and this concerns all levels, exemplified first by global political alliances, groups of countries, regions, etc., and secondly, by multinational (global) corporations and companies of all sizes. These same concerns affect all social groups. This all makes decision processes very complicated. In virtually all decision processes in these complicated systems, there are various actors (decision makers) who represent individual subjects (persons, countries, companies, etc.) and their respective interest groups. To reach a meaningful (good) decision, opinions of all such actors must be taken into account or a given decision may be rejected and not implemented. Ideally, a decision would be made after a consensus between the parties involved had been attained. So, consensus is a very desirable situation. In most real-world cases there is considerable uncertainty concerning all aspects of the decision making process. Moreover, opinions, goals, constraints, etc. are usually imprecisely known. This makes the decision making process difficult as one cannot employ conventional "hard" tools.

Cooperative Game Theory and Its Application to Natural, Environmental and Water Resource Issues:

Author :
Publisher : World Bank Publications
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4./5 ( download)

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Book Synopsis Cooperative Game Theory and Its Application to Natural, Environmental and Water Resource Issues: by :

Download or read book Cooperative Game Theory and Its Application to Natural, Environmental and Water Resource Issues: written by and published by World Bank Publications. This book was released on 2012 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper provides a review of various applications of cooperative game theory (CGT) to issues of natural and environmental resources. With an increase in the level of competition over environmental and natural resources, the incidents of disputes have been at the center of allocation agreements. The paper reviews the cases of common pool resources such as fisheries and forests, and cases of environmental pollution such as acid rain, flow, and stock pollution. In addition to providing examples of cooperative solutions to allocation problems, the conclusion from this review suggests that cooperation over scarce environmental and natural resources is possible under a variety of physical conditions and institutional arrangements. CGT applications to international fishery disputes are especially useful in that they have been making headway in policy-related agreements among states and regions of the world. Forest applications are more local in nature, but of great relevance in solving disputes among communities and various levels of governments.

Game Theory and Applications

Author : Deng-Feng Li
Publisher : Springer
ISBN 13 : 9811067538
Total Pages : 378 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Game Theory and Applications by : Deng-Feng Li

Download or read book Game Theory and Applications written by Deng-Feng Li and published by Springer. This book was released on 2017-10-13 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the refereed post-conference proceedings of the 3rd Joint China-Dutch Workshop on Game Theory and Applications and the 7th China Meeting on Game Theory and Applications, GTA 2016, held in Fuzhou, China, in November 2016. The 25 revised full papers presented were carefully reviewed and selected from 60 full paper submissions. They deal with a broad range of topics in the areas of non-cooperative and cooperative games, non-cooperative and cooperative games under uncertainty and their applications.

Bridges Over Water: Understanding Transboundary Water Conflict, Negotiation And Cooperation

Author : Ariel Dinar
Publisher : World Scientific Publishing Company
ISBN 13 : 9813106778
Total Pages : 470 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Bridges Over Water: Understanding Transboundary Water Conflict, Negotiation And Cooperation by : Ariel Dinar

Download or read book Bridges Over Water: Understanding Transboundary Water Conflict, Negotiation And Cooperation written by Ariel Dinar and published by World Scientific Publishing Company. This book was released on 2007-10-22 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Latest Edition: Bridges Over Water: Understanding Transboundary Water Conflict, Negotiation and Cooperation (2nd Edition) Bridges over Water places the study of transboundary water conflicts, negotiation, and cooperation in the context of various disciplines (such as international relations, international law, international negotiations, and economics), analyzing them using various quantitative approaches, such as river basin modeling and game theory. Case studies of particular transboundary river basins, lakes and aquifers are also considered. This is the first textbook for a relatively recent yet rapidly expanding field of study. Errata(s) Errata