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Author : Theo S. H. Driessen
Publisher : Springer
ISBN 13 : 9789027727299
Total Pages : 244 pages
Book Rating : 4.7/5 (272 download)
Download or read book Cooperative Games, Solutions and Applications written by Theo S. H. Driessen and published by Springer. This book was released on 1988-07-31 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Theo S. H. Driessen
Publisher : Springer Science & Business Media
ISBN 13 : 9401577870
Total Pages : 235 pages
Book Rating : 4.4/5 (15 download)
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.
Author : Imma Curiel
Publisher : Springer Science & Business Media
ISBN 13 : 147574871X
Total Pages : 198 pages
Book Rating : 4.4/5 (757 download)
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.
Author : Giovanni Efraín Reyes Ortiz, PH D
Publisher : Independently Published
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.5/5 (44 download)
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.
Author : Roger A McCain
Publisher : World Scientific
ISBN 13 : 9814417416
Total Pages : 236 pages
Book Rating : 4.8/5 (144 download)
Download or read book Value Solutions in Cooperative Games written by Roger A McCain and published by World Scientific. This book was released on 2013-03-07 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces new concepts for cooperative game theory, and particularly solutions that determine the distribution of a coalitional surplus among the members of the coalition. It also addresses several generalizations of cooperative game theory. Drawing on methods of welfare economics, new value solutions are derived for Non-Transferable Utility games with and without differences of bargaining power among the members of the coalition. Cooperation in intertemporal games is examined, and conditions that permit the reduction of these games to games in coalition function form are outlined. Biform games and games that combine non-cooperative search and matching of coalition members with cooperative solutions (i.e., efficient contracts) within the coalition are considered. Contents:Value Solutions for Superadditive Transferable Utility Games in Coalition Function FormZeuthen–Nash BargainingNontransferable Utility Games and Games in Partition Function FormA Shapley Value Algorithm for Games in Partition Function FormExtension of the Nucleolus to Nontransferable Utility Games in Partition Function FormA Core Imputation with Variable Bargaining PowerBargaining Power Biform GamesIntertemporal Cooperative Games: A Sketch of a TheoryA Theory of Enterprise Readership: Graduate students and researchers in the field of game theory. Keywords:Cooperative Games;Value;Imputation;Bargaining TheoryKey Features:Proposes a value solution for games of two or more players that: (i) is the Nash bargaining solution in a special case, (ii) allows for unsymmetrical bargaining power, (iii) allows for group-to-group bargaining, and (iv) is always a point in the core of the game if the game is not nullUses methods from mathematical welfare economics to bridge the gap from non-transferable utility to transferable utilityRelying on Biform Games (Brandenburger and Stuart), constructs a model of cooperative value creation in coalitions formed by non-cooperative search and matching
Author :
Publisher : World Bank Publications
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4./5 ( download)
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.
Author : Holger Ingmar Meinhardt
Publisher : Springer Science & Business Media
ISBN 13 : 364239549X
Total Pages : 270 pages
Book Rating : 4.6/5 (423 download)
Download or read book The Pre-Kernel as a Tractable Solution for Cooperative Games written by Holger Ingmar Meinhardt and published by Springer Science & Business Media. This book was released on 2013-10-23 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This present book provides an alternative approach to study the pre-kernel solution of transferable utility games based on a generalized conjugation theory from convex analysis. Although the pre-kernel solution possesses an appealing axiomatic foundation that lets one consider this solution concept as a standard of fairness, the pre-kernel and its related solutions are regarded as obscure and too technically complex to be treated as a real alternative to the Shapley value. Comprehensible and efficient computability is widely regarded as a desirable feature to qualify a solution concept apart from its axiomatic foundation as a standard of fairness. We review and then improve an approach to compute the pre-kernel of a cooperative game by the indirect function. The indirect function is known as the Fenchel-Moreau conjugation of the characteristic function. Extending the approach with the indirect function, we are able to characterize the pre-kernel of the grand coalition simply by the solution sets of a family of quadratic objective functions.
Author : Akio Matsumoto
Publisher : Springer
ISBN 13 : 443154786X
Total Pages : 265 pages
Book Rating : 4.4/5 (315 download)
Download or read book Game Theory and Its Applications written by Akio Matsumoto and published by Springer. This book was released on 2015-09-08 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book integrates the fundamentals, methodology, and major application fields of noncooperative and cooperative games including conflict resolution. The topics addressed in the book are discrete and continuous games including games represented by finite trees; matrix and bimatrix games as well as oligopolies; cooperative solution concepts; games under uncertainty; dynamic games and conflict resolution. The methodology is illustrated by carefully chosen examples, applications and case studies which are selected from economics, social sciences, engineering, the military and homeland security. This book is highly recommended to readers who are interested in the in-depth and up-to-date integration of the theory and ever-expanding application areas of game theory.
Author : Bezalel Peleg
Publisher : Springer Science & Business Media
ISBN 13 : 3540729453
Total Pages : 328 pages
Book Rating : 4.5/5 (47 download)
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 328 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.
Author : Rodica Branzei
Publisher : Springer Science & Business Media
ISBN 13 : 354077954X
Total Pages : 203 pages
Book Rating : 4.5/5 (47 download)
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.
Author : Deng-Feng Li
Publisher : Springer
ISBN 13 : 3319289985
Total Pages : 137 pages
Book Rating : 4.3/5 (192 download)
Download or read book Models and Methods for Interval-Valued Cooperative Games in Economic Management written by Deng-Feng Li and published by Springer. This book was released on 2016-02-02 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proposes several commonly used interval-valued solution concepts of interval-valued cooperative games with transferable utility. It thoroughly investigates these solutions, thereby establishing the properties, models, methods, and applications. The first chapter proposes the interval-valued least square solutions and quadratic programming models, methods, and properties. Next, the satisfactory-degree-based non-linear programming models for computing interval-valued cores and corresponding bisection algorithm are explained. Finally, the book explores several simplification methods of interval-valued solutions: the interval-valued equal division and equal surplus division values; the interval-valued Shapley, egalitarian Shapley, and discounted Shapley values; the interval-valued solidarity and generalized solidarity values; and the interval-valued Banzhaf value. This book is designed for individuals from different fields and disciplines, such as decision science, game theory, management science, operations research, fuzzy sets or fuzzy mathematics, applied mathematics, industrial engineering, finance, applied economics, expert system, and social economy as well as artificial intelligence. Moreover, it is suitable for teachers, postgraduates, and researchers from different disciplines: decision analysis, management, operations research, fuzzy mathematics, fuzzy system analysis, applied mathematics, systems engineering, project management, supply chain management, industrial engineering, applied economics, and hydrology and water resources.
Author : Georgios Raedt
Publisher : Springer Nature
ISBN 13 : 3031015584
Total Pages : 150 pages
Book Rating : 4.0/5 (31 download)
Download or read book Computational Aspects of Cooperative Game Theory written by Georgios Raedt and published by Springer Nature. This book was released on 2022-05-31 with total page 150 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.
Author : Kim, Sungwook
Publisher : IGI Global
ISBN 13 : 1466660511
Total Pages : 522 pages
Book Rating : 4.4/5 (666 download)
Download or read book Game Theory Applications in Network Design written by Kim, Sungwook and published by IGI Global. This book was released on 2014-05-31 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of game theoretic techniques is playing an increasingly important role in the network design domain. Understanding the background, concepts, and principles in using game theory approaches is necessary for engineers in network design. Game Theory Applications in Network Design provides the basic idea of game theory and the fundamental understanding of game theoretic interactions among network entities. The material in this book also covers recent advances and open issues, offering game theoretic solutions for specific network design issues. This publication will benefit students, educators, research strategists, scientists, researchers, and engineers in the field of network design.
Author : Marco Slikker
Publisher : Springer Science & Business Media
ISBN 13 : 1461515696
Total Pages : 296 pages
Book Rating : 4.4/5 (615 download)
Download or read book Social and Economic Networks in Cooperative Game Theory written by Marco Slikker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Social and Economic Networks in Cooperative Game Theory presents a coherent overview of theoretical literature that studies the influence and formation of networks in social and economic situations in which the relations between participants who are not included in a particular participant's network are not of consequence to this participant. The material is organized in two parts. In Part I the authors concentrate on the question how network structures affect economic outcomes. Part II of the book presents the formation of networks by agents who engage in a network-formation process to be able to realize the possible gains from cooperation.
Author : Dominique De Werra
Publisher : Springer
ISBN 13 : 3319276808
Total Pages : 249 pages
Book Rating : 4.3/5 (192 download)
Download or read book Operations Research and Enterprise Systems written by Dominique De Werra and published by Springer. This book was released on 2015-12-14 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised selected papers from the 4th International Conference on Operations Research and Enterprise Systems, ICORES 2015, held in Lisbon, Portugal, in January 2015. The 14 papers presented in this volume were carefully reviewed and selection from a total of 89 submissions. They were organized in topical sections named: methodologies and technologies; and applications.
Author : David Mueller
Publisher : Springer
ISBN 13 : 331961603X
Total Pages : 450 pages
Book Rating : 4.3/5 (196 download)
Download or read book Game Theory in Management Accounting written by David Mueller and published by Springer. This book was released on 2017-09-21 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates what kind of problems, originating in a management accounting setting, may be solved with game theoretic models. Game theory has experienced growing interest and numerous applications in the field of management accounting. The main focus traditionally has been on the field of non-cooperative behaviour, but the area of cooperative game theory has developed rapidly and has received increasing attention. Intensive research, in combination with the changing culture of publishing, has produced a nearly unmanageable number of publications in the areas concerned. Therefore, one main purpose of this volume is providing an intensive analysis of the intersection of these areas. In addition, the book strengthens the relationship between the theory and the practical applications and it illustrates the two-sided relationship between game theory and management accounting: new game theoretic models offer new fields of applications and these applications raise new questions for the theory.
Author : Andrew M. Colman
Publisher : Psychology Press
ISBN 13 : 1134987498
Total Pages : 391 pages
Book Rating : 4.1/5 (349 download)
Download or read book Game Theory and its Applications written by Andrew M. Colman and published by Psychology Press. This book was released on 2013-10-28 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Andrew Coleman provides an accessible introduction to the fundamentals of mathematical gaming and other major applications in social psychology, decision theory, economics, politics, evolutionary biology, philosophy, operational research and sociology.
