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On The Nature Of Solution Concepts For Cooperative Games
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Book Synopsis ON THE NATURE OF SOLUTION CONCEPTS FOR COOPERATIVE GAMES by : Kai Ruppert Michaelis
Download or read book ON THE NATURE OF SOLUTION CONCEPTS FOR COOPERATIVE GAMES written by Kai Ruppert Michaelis and published by . This book was released on 1985 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Nature of Solution Concepts for Cooperative Games by : Kai Michaelis
Download or read book On the Nature of Solution Concepts for Cooperative Games written by Kai Michaelis and published by . This book was released on 1982 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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.
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.
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:
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.
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.
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:
Book Synopsis Fuzzy Solution Concepts for Non-cooperative Games by : Tina Verma
Download or read book Fuzzy Solution Concepts for Non-cooperative Games written by Tina Verma and published by Springer. This book was released on 2019-04-09 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proposes novel methods for solving different types of non-cooperative games with interval/fuzzy/intuitionistic fuzzy payoffs. It starts by discussing several existing methods and shows that some mathematically incorrect assumptions have been considered in all these methods. It then proposes solutions to adapt those methods and validate the new proposed methods, such as Gaurika method Ambika-I-IV, Mehar method and others, by using them for solving existing numerical problems. The book offers a comprehensive guide on non-cooperative games with fuzzy payoffs to both students and researchers. It provides them with the all the necessary tools to understand the methods and the theory behind them.
Book Synopsis New Approaches to Solution Concepts for Cooperative Games in Normal Form by : Roger Bruce Myerson
Download or read book New Approaches to Solution Concepts for Cooperative Games in Normal Form written by Roger Bruce Myerson and published by . This book was released on 1973 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Solution Concepts for Some Generalized Cooperative Games by : Oltion Voshtina
Download or read book Solution Concepts for Some Generalized Cooperative Games written by Oltion Voshtina and published by . This book was released on 1997 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Book Synopsis Solution concepts for n-person cooperative games by : Chih Ch'ang
Download or read book Solution concepts for n-person cooperative games written by Chih Ch'ang and published by . This book was released on 1985 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fuzzy Solution Concepts for Non-cooperative Games by : Tina Verma
Download or read book Fuzzy Solution Concepts for Non-cooperative Games written by Tina Verma and published by Springer. This book was released on 2019-06-04 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis A Dynamic Solution Concept for Abstract Games by : Prakash P. Shenoy
Download or read book A Dynamic Solution Concept for Abstract Games written by Prakash P. Shenoy and published by . This book was released on 1977 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several solution concepts have been defined for abstract games. Some of these are the core due to Gillies and Shapley, the von Neumann-Morgenstern stable sets due to von Neumann and Morgenstern, and the subsolutions due to Roth. These solutions concepts are rather static in nature. This paper proposes a new solution concept for abstract games called the dynamic solution that reflects the dynamic aspects of negotiation among players. Some properties of the dynamic solutions are studied. Also, the dynamic solution of abstract games arising from n-person cooperative games in characteristic function form is investigated.