Cooperative Interval Games
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Cooperative Interval Games
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Author : Sirma Zeynep Alparslan Gok
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2010
Cooperative Interval Games written by Sirma Zeynep Alparslan Gok and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Interval uncertainty affects our decision making activities on a daily basis making the data structure of intervals of real numbers more and more popular in theoretical models and related software applications. Natural questions for people or businesses that face interval uncertainty in their data when dealing with cooperation are how to form the coalitions and how to distribute the collective gains or costs. The theory of cooperative interval games is a suitable tool for answering these questions. In this book, the classical theory of cooperative games is extended to cooperative interval games.
Cooperative Interval Games Arising From Airport Situations With Interval Data
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Author : S.Z. Alparslan-Gök
language : en
Publisher:
Release Date : 2008
Cooperative Interval Games Arising From Airport Situations With Interval Data written by S.Z. Alparslan-Gök and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
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.
An Algorithmic Approach To Cooperative Interval Valued Games And Interpretation Problems
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Author : Julia Drechsel
language : en
Publisher:
Release Date : 2008
An Algorithmic Approach To Cooperative Interval Valued Games And Interpretation Problems written by Julia Drechsel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Cores And Stable Sets For Interval Valued Games
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Author : S.Z. Alparslan-Gök
language : en
Publisher:
Release Date : 2008
Cores And Stable Sets For Interval Valued Games written by S.Z. Alparslan-Gök and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Cooperative Lot Sizing Games In Supply Chains
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Author : Julia Drechsel
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-18
Cooperative Lot Sizing Games In Supply Chains written by Julia Drechsel 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 2010-08-18 with Business & Economics categories.
The presented work combines two areas of research: cooperative game theory and lot size optimization. One of the most essential problems in cooperations is to allocate cooperative profits or costs among the partners. The core is a well known method from cooperative game theory that describes efficient and stable profit/cost allocations. A general algorithm based on the idea of constraint generation to compute core elements for cooperative optimization problems is provided. Beside its application for the classical core, an extensive discussion of core variants is presented and how they can be handled with the proposed algorithm. The second part of the thesis contains several cooperative lot sizing problems of different complexity that are analyzed regarding theoretical properties like monotonicity or concavity and solved with the proposed row generation algorithm to compute core elements; i.e. determining stable and fair cost allocations.
Convex Interval Games
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Author : S.Z. Alparslan-Gök
language : en
Publisher:
Release Date : 2008
Convex Interval Games written by S.Z. Alparslan-Gök and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Fuzzy Solution Concepts For Non Cooperative Games
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Author : Tina Verma
language : en
Publisher:
Release Date : 2020
Fuzzy Solution Concepts For Non Cooperative Games written by Tina Verma and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Fuzzy mathematics 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.
Game Theory And Applications
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Author : Deng-Feng Li
language : en
Publisher: Springer
Release Date : 2017-10-13
Game Theory And Applications 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 2017-10-13 with Computers categories.
This volume constitutes the refereed post-conference proceedings of the 3rd Joint China-Dutch Workshop on Game Theory and Applications and the 7th China Meeting on Game Theory and Applications, GTA 2016, held in Fuzhou, China, in November 2016. The 25 revised full papers presented were carefully reviewed and selected from 60 full paper submissions. They deal with a broad range of topics in the areas of non-cooperative and cooperative games, non-cooperative and cooperative games under uncertainty and their applications.
Interval Computations For Fuzzy Relational Equations And Cooperative Game Theory
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Author :
language : en
Publisher:
Release Date : 2003
Interval Computations For Fuzzy Relational Equations And Cooperative Game Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
This dissertation introduces the concepts of the tolerable solution set, united solution set, and controllable solution set of interval-valued fuzzy relational equations. Given a continuous t-norm, it is proved that each of the three types of the solution sets of interval-valued fuzzy relational equations with a max-t-norm composition, if nonempty, is composed of one maximum solution and a finite number of minimal solutions. Necessary and sufficient conditions for the existence of solutions are given. Computational procedures based on the constructive proofs are proposed to generate the complete solution sets. Examples are given to illustrate the procedures. Similarly, it is also proved that each type of solution set of interval-valued fuzzy relational equations with a min-s-norm composition, if nonempty, is composed of one minimum solution and a finite number of maximal solutions. For interval-valued games, a new method for ranking interval numbers is introduced. Interval-valued cooperative games are defined based on this method. Three axioms as desired properties of an interval-valued cooperative game were proposed. It is proved that a unique payoff function, which is similar to the Shapley value function, exists and satisfies the proposed axioms. Furthermore, this payoff function can be applied to non-superadditive games.
