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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 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 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 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 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 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 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 175 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 The Cooperative Nature of the Firm by : Tatsuro Ichiishi
Download or read book The Cooperative Nature of the Firm written by Tatsuro Ichiishi and published by Cambridge University Press. This book was released on 1993-06-17 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of price and the organization of firms using game theory and neoclassical economics.
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 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 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 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:
Book Synopsis Theory and Decision by : G. Eberlein
Download or read book Theory and Decision written by G. Eberlein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles contains contributions from a few of Werner Leinfellner's many friends and colleagues. Some of them are former students of Werner's. Others were colleagues of his at various American and European universities. Further, some have come to know Werner through his research, his long-standing editorship of Theory and Deci sion and his extensive participation in international conferences and congresses. The following articles are new to this volume. The areas covered are those in which Werner continues to play an active professional role. We offer them as a tribute to the many and multi-faceted contributions to the scientific enterprise for which Werner Leinfellner is so widely known. We believe such a festschrift to be fitting and long overdue. Because of the breadth of Werner's professional associations, it was difficult to select representatives from among his many spheres of influence. We apologize to the many scholars who could not be in cluded because of time and space considerations. Finally, we wish to express appreciation to Dean John Guilds of the University of Arkansas for providing financial support early on in the evolution of this project, to Jennifer Bauman for her bravura performance in copy-editing the manuscripts, and to our publisher at Reidel for bringing this volume to press.
Book Synopsis Handbook of combinatorial optimization by : Dingzhu Du
Download or read book Handbook of combinatorial optimization written by Dingzhu Du and published by Springer Science & Business Media. This book was released on 1998-12-15 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of a multi-volume set. The various volumes deal with several algorithmic approaches for discrete problems as well as with many combinatorial problems. The emphasis is on late-1990s developments. Each chapter is essentially expository in nature, but scholarly in its treatment.
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 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.
Book Synopsis Papers in Game Theory by : J.C. Harsanyi
Download or read book Papers in Game Theory written by J.C. Harsanyi and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains twelve of my game-theoretical papers, published in the period of 1956-80. It complements my Essays on Ethics, Social Behavior, and Scientific Explanation, Reidel, 1976, and my Rational Behavior and Bargaining Equilibrium in Games and Social Situations, Cambridge University Press, 1977. These twelve papers deal with a wide range of game-theoretical problems. But there is a common intellectual thread going though all of them: they are all parts of an attempt to generalize and combine various game-theoretical solution concepts into a unified solution theory yielding one-point solutions for both cooperative and noncooperative games, and covering even such 'non-classical' games as games with incomplete information. SECTION A The first three papers deal with bargaining models. The first one discusses Nash's two-person bargaining solution and shows its equivalence with Zeuthen's bargaining theory. The second considers the rationality postulates underlying the Nash-Zeuthen theory and defends it against Schelling's objections. The third extends the Shapley value to games without transferable utility and proposes a solution concept that is at the same time a generaliza tion of the Shapley value and of the Nash bargaining solution.