Cooperative Games Solutions And Applications
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Cooperative Games Solutions And Applications
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Author : Theo S. H. Driessen
language : en
Publisher: Springer
Release Date : 1988-07-31
Cooperative Games Solutions And Applications written by Theo S. H. Driessen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-07-31 with Business & Economics categories.
Cooperative Game Theory And Applications
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Author : Imma Curiel
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-03-31
Cooperative Game Theory And Applications written by Imma Curiel 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 1997-03-31 with Business & Economics categories.
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.
Cooperative Games Solutions And Applications
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Author : Theo S. H. Driessen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Cooperative Games Solutions And Applications written by Theo S. H. Driessen 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 2013-03-09 with Business & Economics categories.
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.
Cooperative Game Theory And Its Application To Natural Environmental And Water Resource Issues
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Author :
language : en
Publisher: World Bank Publications
Release Date :
Cooperative Game Theory And Its Application To Natural Environmental And Water Resource Issues written by and has been published by World Bank Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Strategic Equilibrium For Cooperative Games
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Author : Giovanni Efraín Reyes Ortiz, PH D
language : en
Publisher: Independently Published
Release Date : 2021-07-26
Strategic Equilibrium For Cooperative Games written by Giovanni Efraín Reyes Ortiz, PH D and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-26 with categories.
The main purpose of this book is to introduce a theory of solutions for the n-person cooperative game through the simple case with 3-persons. It is intended to give the necessary background for readers, students and researchers in the quantitative and social sciences to enhance their theories and approaches with basic mathematical tools applied and developed for game theory analysis within a systems perspective. Von Neumann and Morgenstern introduced the theory of games as the "proper instrument with which to develop a theory of economic behavior". The snowballing development of game theory and its applications, in the last seventy years, has proven to be not only the proper instrument to develop a theory of economic behavior but the appropriate one for developing the theories for different types of interactive behavior as studied in political, social, environmental, biological, economic and behavioral sciences. Modeling examples of such applications are presented throughout the book.
A Course On Cooperative Game Theory
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Author : Satya R. Chakravarty
language : en
Publisher: Cambridge University Press
Release Date : 2015-02-09
A Course On Cooperative Game Theory written by Satya R. Chakravarty and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-09 with Business & Economics categories.
"Deals with real life situations where objectives of the participants are partially cooperative and partially conflicting"--
Models And Methods For Interval Valued Cooperative Games In Economic Management
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Author : Deng-Feng Li
language : en
Publisher: Springer
Release Date : 2016-02-02
Models And Methods For Interval Valued Cooperative Games In Economic Management written by Deng-Feng Li and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-02 with Mathematics categories.
This book proposes several commonly used interval-valued solution concepts of interval-valued cooperative games with transferable utility. It thoroughly investigates these solutions, thereby establishing the properties, models, methods, and applications. The first chapter proposes the interval-valued least square solutions and quadratic programming models, methods, and properties. Next, the satisfactory-degree-based non-linear programming models for computing interval-valued cores and corresponding bisection algorithm are explained. Finally, the book explores several simplification methods of interval-valued solutions: the interval-valued equal division and equal surplus division values; the interval-valued Shapley, egalitarian Shapley, and discounted Shapley values; the interval-valued solidarity and generalized solidarity values; and the interval-valued Banzhaf value. This book is designed for individuals from different fields and disciplines, such as decision science, game theory, management science, operations research, fuzzy sets or fuzzy mathematics, applied mathematics, industrial engineering, finance, applied economics, expert system, and social economy as well as artificial intelligence. Moreover, it is suitable for teachers, postgraduates, and researchers from different disciplines: decision analysis, management, operations research, fuzzy mathematics, fuzzy system analysis, applied mathematics, systems engineering, project management, supply chain management, industrial engineering, applied economics, and hydrology and water resources.
Cooperative Game Theory And Its Application To Natural Environmental And Water Resource Issues
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Author :
language : en
Publisher:
Release Date : 2006
Cooperative Game Theory And Its Application To Natural Environmental And Water Resource Issues written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Environmental policy categories.
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.