Value Solutions In Cooperative Games

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Value Solutions in Cooperative Games

Author : Roger A McCain
Publisher : World Scientific
ISBN 13 : 9814417416
Total Pages : 236 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Value Solutions in Cooperative Games by : Roger A McCain

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

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.

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.

Cooperative Games, Solutions and Applications

Author : Theo S. H. Driessen
Publisher : Springer
ISBN 13 : 9789027727299
Total Pages : 244 pages
Book Rating : 4.7/5 (272 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. This book was released on 1988-07-31 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Models and Methods for Interval-Valued Cooperative Games in Economic Management

Author : Deng-Feng Li
Publisher : Springer
ISBN 13 : 3319289985
Total Pages : 137 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Models and Methods for Interval-Valued Cooperative Games in Economic Management by : Deng-Feng Li

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.

Game Theory

Author : Deng-Feng Li
Publisher : Springer Nature
ISBN 13 : 9811506574
Total Pages : 151 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Game Theory by : Deng-Feng Li

Download or read book Game Theory written by Deng-Feng Li and published by Springer Nature. This book was released on 2019-10-11 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes extended, revised and selected papers from the Third East Asia Game Theory International Conference, EAGT 2019, held in Fuzhou, China, in March 2019. The 10 full papers presented in this volume were carefully reviewed and selected from a total of 146 submissions. The papers in the volume are focused on non-cooperative and cooperative games and cover such subjects or disciplines as game theory, operations research, mathematics, decision science, management science, economics, experiment economics, system engineering, psychology and control theory.

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.

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.

NETWORKING 2011

Author : Jordi Domingo-Pascual
Publisher : Springer
ISBN 13 : 364220757X
Total Pages : 473 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis NETWORKING 2011 by : Jordi Domingo-Pascual

Download or read book NETWORKING 2011 written by Jordi Domingo-Pascual and published by Springer. This book was released on 2011-04-28 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 6640 and 6641 constitutes the refereed proceedings of the 10th International IFIP TC 6 Networking Conference held in Valencia, Spain, in May 2011. The 64 revised full papers presented were carefully reviewed and selected from a total of 294 submissions. The papers feature innovative research in the areas of applications and services, next generation Internet, wireless and sensor networks, and network science. The first volume includes 36 papers and is organized in topical sections on anomaly detection, content management, DTN and sensor networks, energy efficiency, mobility modeling, network science, network topology configuration, next generation Internet, and path diversity.

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.

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.

On Three Shapley-like Solutions for Cooperative Games with Random Payoffs

Author : Judith Berendina Timmer
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (247 download)

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Book Synopsis On Three Shapley-like Solutions for Cooperative Games with Random Payoffs by : Judith Berendina Timmer

Download or read book On Three Shapley-like Solutions for Cooperative Games with Random Payoffs written by Judith Berendina Timmer and published by . This book was released on 2000 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Economics and Game Theory

Author : R. Henn
Publisher : Springer Science & Business Media
ISBN 13 : 3642454941
Total Pages : 714 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Mathematical Economics and Game Theory by : R. Henn

Download or read book Mathematical Economics and Game Theory written by R. Henn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Shapley Values and their Application Inside and Outside of Economics

Author :
Publisher : GRIN Verlag
ISBN 13 : 3346796175
Total Pages : 105 pages
Book Rating : 4.3/5 (467 download)

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Book Synopsis Shapley Values and their Application Inside and Outside of Economics by :

Download or read book Shapley Values and their Application Inside and Outside of Economics written by and published by GRIN Verlag. This book was released on 2023-01-18 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bachelor Thesis from the year 2022 in the subject Business economics - Business Management, Corporate Governance, grade: 1.15, Technical University of Ilmenau, language: English, abstract: The Shapley Value is a famous solution concept of cooperative Game Theory which aims at allocating a jointly generated payoff to the contributing members under fair circumstances. It represents a unique solution to a set of predefined fairness axioms which favoured its employment in many applications and scientific literature over the years. The resulting vast amount of literature is mainly focused on applying the Shapley Value in various areas, which created a discrepancy between the advancements in practical solutions and review sources which capture a holistic overview of possible application areas. The objectives of this literature review were therefore to firstly identify application areas, then highlight the respective employment and current advancements by integrating literature sources in a second step in order to discuss the usefulness in regard to popular non-game theoretic methods at the end. Methodically, a literature review was accomplished which utilized multiple databases and search-engines to find Shapley Value-related literature, which was used to categorize application areas. From there on, keyword- and forward/backward searches were executed for every identified application area to further enrich the literature basis. In total, 168 unique studies contributed to this review which revealed that Shapley Values are employed in Profit and Cost allocation, Marketing, Machine Learning, Politics, Portfolio and Social Network Theory and in Statistics. As this review also assessed the current and future relevance of individual application areas, it was projected that a majority of the here presented applications will be of value in the future.

Collected Papers

Author : Robert J. Aumann
Publisher : MIT Press
ISBN 13 : 9780262011556
Total Pages : 818 pages
Book Rating : 4.0/5 (115 download)

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Book Synopsis Collected Papers by : Robert J. Aumann

Download or read book Collected Papers written by Robert J. Aumann and published by MIT Press. This book was released on 2000 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Aumann's career in game theory has spanned over research - from his doctoral dissertation in 1956 to papers as recent as January 1995. Threaded through all of Aumann's work (symbolized in his thesis on knots) is the study of relationships between different ideas, between different phenomena, and between ideas and phenomena. "When you look closely at one scientific idea", writes Aumann, "you find it hitched to all others. It is these hitches that I have tried to study". The papers are organized in several categories: general, knot theory, decision theory (utility and subjective probability), strategic games, coalitional games, and mathematical methods. Aumann has written an introduction to each of these groups that briefly describes the content and background of each paper, including the motivation and the research process, and relates it to other work in the collection and to work by others. There is also a citation index that allows readers to trace the considerable body of literature which cites Aumann's own work.

Differential Information Economies

Author : Dionysius Glycopantis
Publisher : Springer Science & Business Media
ISBN 13 : 3540269797
Total Pages : 656 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Differential Information Economies by : Dionysius Glycopantis

Download or read book Differential Information Economies written by Dionysius Glycopantis and published by Springer Science & Business Media. This book was released on 2005-12-28 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the main problems in current economic theory is to write contracts which are Pareto optimal, incentive compatible, and also implementable as a perfect Bayesian equilibrium of a dynamic, noncooperative game. The question arises whether it is possible to provide Walrasian type or cooperative equilibrium concepts which have these properties. This volume contains original contributions on noncooperative and cooperative equilibrium notions in economies with differential information and provides answers to the above questions. Moreover, issues of stability, learning and continuity of alternative equilibria are also examined.

Cooperative Game Theory Tools in Coalitional Control Networks

Author : Francisco Javier Muros
Publisher : Springer
ISBN 13 : 3030104893
Total Pages : 233 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Cooperative Game Theory Tools in Coalitional Control Networks by : Francisco Javier Muros

Download or read book Cooperative Game Theory Tools in Coalitional Control Networks written by Francisco Javier Muros and published by Springer. This book was released on 2019-04-24 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book analyzes coalitional control schemes by incorporating concepts of cooperative game theory into a distributed control framework. It considers a networked architecture where the nodes are the agents and the edges are their communication links and either the agents or the links are established as the players of cooperative games related to the cost function of the coalitional schemes. The book discusses various cooperative game theory tools that are used to measure/analyze the players’ features, impose constraints on them, provide alternative methods of game computation, detect critical players inside the control scheme, and perform system partitioning of large-scale systems, such as the Barcelona drinking water network, which is described in a case study.