Models In Cooperative Game Theory PDF Download
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Author | : Rodica Branzei |
Publisher | : Springer Science & Business Media |
Total Pages | : 203 |
Release | : 2008-03-08 |
Genre | : Business & Economics |
ISBN | : 354077954X |
Download Models in Cooperative Game Theory Book in PDF, ePub and Kindle
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 | : Rodica Branzei |
Publisher | : Springer Science & Business Media |
Total Pages | : 131 |
Release | : 2005-11-15 |
Genre | : Business & Economics |
ISBN | : 3540285091 |
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This book investigates the classical model of cooperative games with transfer able utility (TU-games) and models in which the players have the possibility to cooperate partially, namely fuzzy and multichoice games. In a crisp game the agents are either fully involved or not involved at all in cooperation with some other agents, while in a fuzzy game players are allowed to cooperate with infinitely many different participation levels, varying from non-cooperation to full cooperation. A multichoice game describes an intermediate case in which each player may have a fixed number of activity levels. Part I of the book is devoted to the most developed model in the theory of cooperative games, that of a classical TU-game with crisp coalitions, which we refer to as crisp game along the book. It presents basic notions, solutions concepts and classes of cooperative crisp games in such a way that allows the reader to use this part as a reference toolbox when studying the corresponding concepts from the theory of fuzzy games (Part II) and from the theory of multichoice games (Part III). The work on this book started while we were research fellows at ZiF (Biele feld) for the project "Procedural Approaches to Conflict Resolution", 2002.
Author | : Rodica Brânzei |
Publisher | : Springer Science & Business Media |
Total Pages | : 148 |
Release | : 2005 |
Genre | : Business & Economics |
ISBN | : 9783540260820 |
Download Models in Cooperative Game Theory Book in PDF, ePub and Kindle
This book investigates models in cooperative game theory in which the players have the possibility to cooperate partially. In a crisp game the agents are either fully involved or not involved at all in coperation with some other agents, while in a fuzzy game players are allowed to cooperate with infinite many different participation levels, varying from non-cooperation to full cooperation. A multi-choice game describes the intermediate case in which each player may have a fixed number of activity levels. Different set and one-point solution concepts for these games are presented. The properties of these solution concepts and their interrelations on several classes of crisp, fuzzy, and multi-choice games are studied. Applications of the investigated models to many economic situations are indicated as well.
Author | : Robert P. Gilles |
Publisher | : Springer Science & Business Media |
Total Pages | : 264 |
Release | : 2010-04-02 |
Genre | : Mathematics |
ISBN | : 3642052827 |
Download The Cooperative Game Theory of Networks and Hierarchies Book in PDF, ePub and Kindle
The book brings together an overview of standard concepts in cooperative game theory with applications to the analysis of social networks and hierarchical authority organizations. The standard concepts covered include the multi-linear extension, the Core, the Shapley value, and the cooperative potential. Also discussed are the Core for a restricted collection of formable coalitions, various Core covers, the Myerson value, value-based potentials, and share potentials. Within the context of social networks this book discusses the measurement of centrality and power as well as allocation rules such as the Myerson value and hierarchical allocation rules. For hierarchical organizations, two basic approaches to the exercise of authority are explored; for each approach the allocation of the generated output is developed. Each chapter is accompanied by a problem section, allowing this book to be used as a textbook for an advanced graduate course on game theory.
Author | : Imma Curiel |
Publisher | : Springer Science & Business Media |
Total Pages | : 198 |
Release | : 2013-03-14 |
Genre | : Business & Economics |
ISBN | : 147574871X |
Download Cooperative Game Theory and Applications Book in PDF, ePub and Kindle
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 | : Bezalel Peleg |
Publisher | : Springer Science & Business Media |
Total Pages | : 336 |
Release | : 2007-08-15 |
Genre | : Business & Economics |
ISBN | : 3540729453 |
Download Introduction to the Theory of Cooperative Games Book in PDF, ePub and Kindle
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 | : Dario Bauso |
Publisher | : Now Publishers |
Total Pages | : 166 |
Release | : 2014-10-06 |
Genre | : Mathematics |
ISBN | : 9781601989086 |
Download Game Theory Book in PDF, ePub and Kindle
This is the first tutorial to give such a concise and accessible introduction to game theory. It will be of use to all students, practitioners, and researchers looking to understand the basic concepts, models, and applications.
Author | : A. J. Jones |
Publisher | : Horwood Publishing |
Total Pages | : 304 |
Release | : 2000-12 |
Genre | : Mathematics |
ISBN | : 9781898563143 |
Download Game Theory Book in PDF, ePub and Kindle
This modern, still relevant text is suitable for senior undergraduate and graduate students, teachers and professionals in mathematics, operational research, economics, sociology; and psychology, defence and strategic studies, and war games. Engagingly written with agreeable humor, the book can also be understood by non-mathematicians. It shows basic ideas of extensive form, pure and mixed strategies, the minimax theorem, non-cooperative and co-operative games, and a ''first class'' account of linear programming, theory and practice. The text is self-contained with comprehensive source references. Based on a series of lectures given by the author in the theory of games at Royal Holloway College, it gives unusually comprehensive but concise treatment of co-operative games, an original account of bargaining models, with a skilfully guided tour through the Shapely and Nash solutions for bimatrix games and a carefully illustrated account of finding the best threat strategies.
Author | : Theo S. H. Driessen |
Publisher | : Springer Science & Business Media |
Total Pages | : 235 |
Release | : 2013-03-09 |
Genre | : Business & Economics |
ISBN | : 9401577870 |
Download Cooperative Games, Solutions and Applications Book in PDF, ePub and Kindle
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 | : Rodica Brânzei |
Publisher | : |
Total Pages | : 135 |
Release | : 1969 |
Genre | : Economics, Mathematical |
ISBN | : 9783540260820 |
Download From the Sun to the Great Attractor Book in PDF, ePub and Kindle