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Fuzzy Cooperative Games


Fuzzy Cooperative Games
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Fuzzy Cooperative Games


Fuzzy Cooperative Games
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Author : Milan Mares
language : en
Publisher: Physica
Release Date : 2013-06-05

Fuzzy Cooperative Games written by Milan Mares and has been published by Physica this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-05 with Business & Economics categories.


The present book deals with coalition games in which expected pay-offs are only vaguely known. In fact, this idea about vagueness of expectations ap pears to be adequate to real situations in which the coalitional bargaining anticipates a proper realization of the game with a strategic behaviour of players. The vagueness being present in the expectations of profits is mod elled by means of the theory of fuzzy set and fuzzy quantities. The fuzziness of decision-making and strategic behaviour attracts the attention of mathematicians and its particular aspects are discussed in sev eral works. One can mention in this respect in particular the book "Fuzzy and Multiobjective Games for Conflict Resolution" by Ichiro Nishizaki and Masatoshi Sakawa (referred below as [43]) which has recently appeared in the series Studies in Fuzziness and Soft Computing published by Physica-Verlag in which the present book is also apperaing. That book, together with the one you carry in your hands, form in a certain sense a complementary pair. They present detailed views on two main aspects forming the core of game theory: strategic (mostly 2-person) games, and coalitional (or cooperative) games. As a pair they offer quite a wide overview of fuzzy set theoretical approaches to game theoretical models of human behaviour.



Models For Cooperative Games With Fuzzy Relations Among The Agents


Models For Cooperative Games With Fuzzy Relations Among The Agents
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Author : Andrés Jiménez-Losada
language : en
Publisher: Springer
Release Date : 2017-04-11

Models For Cooperative Games With Fuzzy Relations Among The Agents written by Andrés Jiménez-Losada and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-11 with Technology & Engineering categories.


This book offers a comprehensive introduction to cooperative game theory and a practice-oriented reference guide to new models and tools for studying bilateral fuzzy relations among several agents or players. It introduces the reader to several fuzzy models, each of which is first analyzed in the context of classical games (crisp games) and subsequently in the context of fuzzy games. Special emphasis is given to the value of Shapley, which is presented for the first time in the context of fuzzy games. Students and researchers will find here a self-contained reference guide to cooperative fuzzy games, characterized by a wealth of examples, descriptions of a wide range of possible situations, step-by-step explanations of the basic mathematical concepts involved, and easy-to-follow information on axioms and properties.



On Some Families Of Cooperative Fuzzy Games


On Some Families Of Cooperative Fuzzy Games
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Author : Yaron Azrieli
language : en
Publisher:
Release Date : 2009

On Some Families Of Cooperative Fuzzy Games written by Yaron Azrieli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.


In a fuzzy cooperative game the playersmay choose to partially participate in a coalition. A fuzzy coalition consists of a group of participating players along with their participation level. The characteristic function of a fuzzy game specifies the worth of each such coalition. This paper introduces well-known properties of classical cooperative games to the theory of fuzzy games, and studies their interrelations. It deals with convex games, exact games, games with a large core, extendable games and games with a stable core.



Models In Cooperative Game Theory


Models In Cooperative Game Theory
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Author : Rodica Branzei
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-08

Models In Cooperative Game Theory written by Rodica Branzei and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-08 with Business & Economics categories.


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.



Fuzzy Solution Concepts For Non Cooperative Games


Fuzzy Solution Concepts For Non Cooperative Games
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Author : Tina Verma
language : en
Publisher: Springer
Release Date : 2019-04-09

Fuzzy Solution Concepts For Non Cooperative Games written by Tina Verma and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-09 with Technology & Engineering categories.


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.



Fuzzy And Multiobjective Games For Conflict Resolution


Fuzzy And Multiobjective Games For Conflict Resolution
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Author : Ichiro Nishizaki
language : en
Publisher: Physica
Release Date : 2013-06-05

Fuzzy And Multiobjective Games For Conflict Resolution written by Ichiro Nishizaki and has been published by Physica this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-05 with Mathematics categories.


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.



Solutions For Cooperative Fuzzy Games And Their Application In Exchange Economies


Solutions For Cooperative Fuzzy Games And Their Application In Exchange Economies
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Author :
language : en
Publisher:
Release Date : 2021

Solutions For Cooperative Fuzzy Games And Their Application In Exchange Economies written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.


This thesis discusses solutions for cooperative games and exchange economies, giving special attention to fuzziness in these models. Starting with solutions for cooperative games with transferable utility (TU-games), we enrich the model by considering fuzzy payoffs in TU-games, and finally consider fuzzy preferences in a model of an exchange economy. In Chapter 2, we deal with the weighted excesses of players in cooperative games which are obtained by summing up all the weighted excesses of all coalitions to which they belong. We first show that lexicographically minimizing the individual weighted excesses of players gives the same minimal weighted excess for every player. Moreover, we show that the associated payoff vector is the corresponding least square value. Second, we show that minimizing the variance of the players' weighted excesses on the preimputation set, again yields the corresponding least square value. Third, we show that these results give rise to lower and upper bounds for the core payoff vectors. Using these bounds, we define the weighted super core as a polyhedron that contains the core, which is one of the main set-valued solutions for both cooperative games as well as exchange economies. It turns out that the least square values can be seen as a center of this weighted super core, giving a third new characterization of the least square values. Finally, these lower and upper bounds for the core inspire us to introduce a new solution for cooperative TU games that has a strong similarity with the Shapley value. In Chapter 3, we introduce a new approach to measure the dissatisfaction for coalitions of players in cooperative transferable utility games. This is done by considering affine (and convex) combinations of the classical excess and the proportional excess. Based on this so-called alpha-excess, we define new solution concepts for cooperative games, such as the alpha-prenucleolus and the alpha-prekernel.



From The Sun To The Great Attractor


From The Sun To The Great Attractor
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Author : Rodica Brânzei
language : en
Publisher:
Release Date : 1969

From The Sun To The Great Attractor written by Rodica Brânzei and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Economics, Mathematical categories.




Towards A More Realistic Modeling Of International Economic Cooperation Via Fuzzy Mathematical Programming And Cooperative Games


Towards A More Realistic Modeling Of International Economic Cooperation Via Fuzzy Mathematical Programming And Cooperative Games
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Author : University of Tennessee. Computer Science Dept
language : en
Publisher:
Release Date : 1986

Towards A More Realistic Modeling Of International Economic Cooperation Via Fuzzy Mathematical Programming And Cooperative Games written by University of Tennessee. Computer Science Dept and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Fuzzy systems categories.




Fuzzy Core And Equilibria Of Games Defined In Strategic Form


Fuzzy Core And Equilibria Of Games Defined In Strategic Form
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Author : Jean Pierre Aubin
language : en
Publisher:
Release Date : 1976

Fuzzy Core And Equilibria Of Games Defined In Strategic Form written by Jean Pierre Aubin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Game theory categories.


The author extends cooperative games described in strategic form to fuzzy cooperative games and defines the fuzzy core and the set of equilibria. It is shown that these two sets coincide.