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:
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.
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.
Download or read book Rational Behavior and Bargaining Equilibrium in Games and Social Situations written by John C. Harsanyi and published by CUP Archive. This book was released on 1986 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a paperback edition of a major contribution to the field, first published in hard covers in 1977. The book outlines a general theory of rational behaviour consisting of individual decision theory, ethics, and game theory as its main branches. Decision theory deals with a rational pursuit of individual utility; ethics with a rational pursuit of the common interests of society; and game theory with an interaction of two or more rational individuals, each pursuing his own interests in a rational manner.
Download or read book The Essential John Nash written by John Nash and published by Princeton University Press. This book was released on 2016-06-29 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: When John Nash won the Nobel prize in economics in 1994, many people were surprised to learn that he was alive and well. Since then, Sylvia Nasar's celebrated biography A Beautiful Mind, the basis of a new major motion picture, has revealed the man. The Essential John Nash reveals his work--in his own words. This book presents, for the first time, the full range of Nash's diverse contributions not only to game theory, for which he received the Nobel, but to pure mathematics--from Riemannian geometry and partial differential equations--in which he commands even greater acclaim among academics. Included are nine of Nash's most influential papers, most of them written over the decade beginning in 1949. From 1959 until his astonishing remission three decades later, the man behind the concepts "Nash equilibrium" and "Nash bargaining"--concepts that today pervade not only economics but nuclear strategy and contract talks in major league sports--had lived in the shadow of a condition diagnosed as paranoid schizophrenia. In the introduction to this book, Nasar recounts how Nash had, by the age of thirty, gone from being a wunderkind at Princeton and a rising mathematical star at MIT to the depths of mental illness. In his preface, Harold Kuhn offers personal insights on his longtime friend and colleague; and in introductions to several of Nash's papers, he provides scholarly context. In an afterword, Nash describes his current work, and he discusses an error in one of his papers. A photo essay chronicles Nash's career from his student days in Princeton to the present. Also included are Nash's Nobel citation and autobiography. The Essential John Nash makes it plain why one of Nash's colleagues termed his style of intellectual inquiry as "like lightning striking." All those inspired by Nash's dazzling ideas will welcome this unprecedented opportunity to trace these ideas back to the exceptional mind they came from.
Download or read book Game Theory and Its Applications written by William F. Lucas and published by American Mathematical Soc.. This book was released on 1981-12-31 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book N Person Game Theory written by Anatol Rapoport and published by Courier Corporation. This book was released on 2013-06-17 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVSequel to Two-Person Game Theory introduces necessary mathematical notation (mainly set theory), presents basic concepts and models, and provides applications to social situations. /div
Download or read book The Dynamics of Cooperative Games written by Jeffrey Harlow Grotte and published by . This book was released on 1974 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is of interest to the study of cooperative game theory to develop models whereby the dynamics of negotiation among the players can be investigated. One approach to this problem concentrates on the use of discrete transfer schemes to study how players might arrive at a desirable outcome. A parallel approach employs systems of differential equations whose solutions represent a continuous transfer of payoff over time. It is the intention of this work to further research in this latter area. Chapter headings include the following: Systems of differential equations with polyhedral stable sets; Applications to cooperative game theory; Nonefficient bargaining systems.
Download or read book Mathematical Programming for Operations Researchers and Computer Scientists written by Albert G. Holzman and published by CRC Press. This book was released on 2020-11-26 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the fundamentals of linear programming, extension of linear programming to discrete optimization methods, multi-objective functions, quadratic programming, geometric programming, and classical calculus methods for solving nonlinear programming problems.
Download or read book Multiple Criteria Decision Making written by Günter Fandel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: The organizers of the 12th International Conference on Multiple Cri teria Decision Making (MCDM) held June 19-23, 1995 in Hagen received the second time the opportunity to prepare an international conference on MCDM in Germany; the first opportunity has been the 3rd International Conference on MCDM in Konigswinter, 1979. Quite a time ellapsed since then and therefore it might be interesting to compare some indicators of the development of the International Society on MCDM, which has been founded in Konigswinter. Stanley Zionts has been elected first president and all 44 participants of that Conference became founding members. Today our Society has over 1200 members and its own Journal (MCDM World Scan). In Hagen, 1996, we had 152 participants from 34 countries. It is interesting to mention that also other Groups established their organi zation, like the European Working Group on Multiple Criteria Decision Aid, the German Working Group on Decision Theory and Applications, the Multi Objective Programming and Goal Programming Group, ESIGMA, and some others. It is also interesting to note that the intersection of members of all these Groups and Societies is not empty and there is quite a cooperation among them.
Download or read book Handbook of Game Theory with Economic Applications Game of chess written by Robert J. Aumann and published by . This book was released on 1992 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Game Theory written by John Eatwell and published by Springer. This book was released on 1989-09-01 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an extract from the 4-volume dictionary of economics, a reference book which aims to define the subject of economics today. 1300 subject entries in the complete work cover the broad themes of economic theory. It concentrates on the topic of game theory.
Download or read book Management Science written by and published by . This book was released on 1974 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes special issues: The Professional series in the management sciences.
Download or read book Handbook of Game Theory with Economic Applications written by R.J. Aumann and published by North Holland. This book was released on 1992-11-19 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of the Handbook of Game Theory with Economic Applications, to be followed by two additional volumes. Game Theory has developed greatly in the last decade, and today it is an essential tool in much of economic theory. The three volumes will cover the fundamental theoretical aspects, a wide range of applications to economics, several chapters on applications to political science, and individual chapters on relations with other disciplines. The topics covered in the present volume include chess-playing computers, an introduction to the non-cooperative theory, repeated games, bargaining theory, auctions, location, entry deterrence, patents, the cooperative theory and its applications, and the relation between Game Theory and ethics. For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier.nl/locate/hes
Download or read book XIV Symposium on Operations Research written by Ulrich Rieder and published by . This book was released on 1990 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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.
