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Games With A Permission Structure
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Book Synopsis Games with a Permission Structure by : Rene van den Brink
Download or read book Games with a Permission Structure written by Rene van den Brink and published by . This book was released on 2017 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the field of cooperative games with restricted cooperation, various restrictions on coalition formation are studied. The most studied restrictions are those that arise from restricted communication and hierarchies. This survey discusses several models of hierarchy restrictions and their relation with communication restrictions. In the literature, there are results on game properties, Harsanyi dividends, core stability, and various solutions that generalize existing solutions for TU-games. In this survey we mainly focus on axiomatizations of the Shapley value in different models of games with a hierarchically structured player set, and their applications. Not only do these axiomatizations provide insight in the Shapley value for these models, but also by considering the types of axioms that characterize the Shapley value, we learn more about different network structures.A central model of games with hierarchies are the games with a permission structure where players in a cooperative transferable utility game are part of a permission structure in the sense that there are players that need permission from other players before they are allowed to cooperate. This permission structure is represented by a directed graph. Generalizations of this model are, for example, games on antimatroids, and games with a local permission structure. Besides discussing these generalizations, we briefly discuss some applications, in particular auction games and hierarchically structured firms.
Book Synopsis Games with Permission Structures by : Robert P. Gilles
Download or read book Games with Permission Structures written by Robert P. Gilles and published by . This book was released on 1991 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Games with a Partial Permission Structure and Their Applications by :
Download or read book Games with a Partial Permission Structure and Their Applications written by and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis contains an introduction and six chapters. The introduction helps readers to position this thesis in game theory and graph theory, and Chapter 2 presents preliminaries, including cooperative games, digraphs, and games with a permission structure. Chapters 3, 4 and 5 provide new permission approaches, and characterize some Shapley value type solutions for cooperative games under these permission approaches. More specific, Chapter 3 combines disjunctive permission and local permission features to construct the local disjunctive permission approach. This approach requires that a player needs to get permission from at least one of its direct authorizers to cooperate, which can be used to model the approval right. Chapter 4 generalizes the local disjunctive and the local conjunctive permission approaches. This generalized approach requires that a player needs to get permission from a certain number of its direct authorizers to cooperate, which is suitable to describe certain voting situations. Chapter 5 provides a generalization of the local and the global disjunctive permission approaches, which requires that a non-top player needs permission from a sequence of authorizers that include a top player, or a sequence of at least $\xi$ authorizers to cooperate. This level generalization is commonly used in management. Besides, in those chapters, we provide axiomatizations for Shapley value type solutions for cooperative games under these permission approaches. Chapters 6 and 7 focus on applications of the content studied in the previous chapters. Chapter 6 provides a template for constructing measures based on permission values. In this chapter, we first propose the disjunctive measure to estimate dominance in a digraph by applying the local disjunctive permission value to additive games with a permission structure.
Book Synopsis Axiomatizations of Permission Values for Games with a Hierarchical Permission Structure Using Split Neutrality by : Johannes René Brink
Download or read book Axiomatizations of Permission Values for Games with a Hierarchical Permission Structure Using Split Neutrality written by Johannes René Brink and published by . This book was released on 2003 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Banzhaf Permission Values for Games with a Permission Structure by : René Van den Brink
Download or read book Banzhaf Permission Values for Games with a Permission Structure written by René Van den Brink and published by . This book was released on 2000 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Locally Partial Permission Value for Games with a Permission Structure by : Hao Wu
Download or read book The Locally Partial Permission Value for Games with a Permission Structure written by Hao Wu and published by . This book was released on 2022 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Cooperative games with a permission structure are useful tools for analyzing the impact of hierarchical structures on allocation problems in Economics and Operations Research. In this paper, we propose a generalization of the local disjunctive and the local conjunctive permission approaches called the k-local permission approach. In this approach, every player needs permission from a certain number of its predecessors to cooperate in a coalition. The special case where every player needs permission from at least one of, respectively all, its predecessors coincides with the local disjunctive, respectively local conjunctive, approach in the literature. We define and characterize a corresponding k-local permission value. After that, we apply this value to define a new class of power measures for directed graphs. We axiomatize these power measures, and apply some of them to two classical networks in the literature.
Book Synopsis ICM Millennium Lectures on Games by : Leon A. Petrosjan
Download or read book ICM Millennium Lectures on Games written by Leon A. Petrosjan and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first Congress in Zürich in 1897, the ICM has been an eagerly awaited event every four years. Many of these occasions are celebrated for historie developments and seminal contributions to mathematics. 2002 marks the year of the 24th ICM, the first of the new millennium. Also historie is the first ICM Satellite Conference devoted to game theory and applications. It is one of those rare occasions, in which masters of the field are able to meet under congenial surroundings to talk and share their gathered wisdom. As is usually the case in ICM meetings, participants of the ICM Satellite Conference on Game Theory and Applications (Qingdao, August 2(02) hailed from the four corners of the world. In addition to presentations of high qual ity research, the program also included twelve invited plenary sessions with distinguished speakers. This volume, which gathers together selected papers read at the conference, is divided into four sections: (I) Foundations, Concepts, and Structure. (II) Equilibrium Properties. (III) Applications to the Natural and Social Sciences. (IV) Computational Aspects of Games.
Book Synopsis The Cooperative Game Theory of Networks and Hierarchies by : Robert P. Gilles
Download or read book The Cooperative Game Theory of Networks and Hierarchies written by Robert P. Gilles and published by Springer Science & Business Media. This book was released on 2010-04-02 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Frontiers of Dynamic Games by : Leon A. Petrosyan
Download or read book Frontiers of Dynamic Games written by Leon A. Petrosyan and published by Springer Nature. This book was released on 2022-03-09 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features contributions from the GTM 2020 International Meeting on Game Theory held virtually from St. Petersburg, Russia, including presentations by plenary speakers. The topics cover a wide range of game-theoretic models and include both theory and applications, including applications to management.
Book Synopsis Comparable Characterizations of Four Solutions for Permission Tree Games by : René van den Brink
Download or read book Comparable Characterizations of Four Solutions for Permission Tree Games written by René van den Brink and published by . This book was released on 2015 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is an extensive literature that studies situations of restricted cooperation in cooperative games. Myerson (1979) introduced communication graph games, where players can only cooperate if they are connected in an undirected graph representing the communication possibilities. The Myerson value is obtained by taking the Shapley value of the corresponding restricted game. For cycle-free connected graphs, Demange (2004) introduced for each player the corresponding hierarchical outcome, being the marginal contribution vector for a particular permutation of the player set induced by the graph. Gilles, Owen and van den Brink (1992) introduced games with a (hierarchical) permission structure modeled by a directed graph on the set of players. In the conjunctive (disjunctive) approach, a coalition is said to be feasible, if for every player in the coalition also all (at least one of) its predecessors (if any) belong(s) to the coalition. The conjunctive (disjunctive) permission value is obtained by taking the Shapley value of the associated conjunctive (disjunctive) restricted game. The two approaches coincide when the permission structure is a rooted tree.In this paper we consider games with a hierarchical permission structure given by a rooted tree and modify the Myerson value to a value for such games. We also consider for these games the hierarchical outcome with respect to the root of the tree (top player), along with a new solution that assigns all payoff to the unique top player in the hierarchy. Then comparable characterizations are given of these three solutions and the (conjunctive) permission value.
Book Synopsis An Axiomatization of the Disjunctive Permission Value for Games with a Permission Structure by : René van den Brink
Download or read book An Axiomatization of the Disjunctive Permission Value for Games with a Permission Structure written by René van den Brink and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Players that participate in a cooperative game with transferable utilities are assumed to be part of a permission structure being a hierarchical organization in which there are players that need permission from other players before they can cooperate. Thus a permission structure limits the possibilities of coalition formation. Various assumptions can be made about how a permission structure affects the cooperation possibilities. In this paper we consider the disjunctive approach in which it is assumed that each player needs permission from at least one of his predecessors before he can act. We provide an axiomatic characterization of the disjunctive permission value being the Shapley value of a modified game in which we take account of the limited cooperation possibilities.
Book Synopsis An Axiomatization of the Disjunctvie Permission Value for Games with a Permission Structure by : René van den Brink
Download or read book An Axiomatization of the Disjunctvie Permission Value for Games with a Permission Structure written by René van den Brink and published by . This book was released on 1994 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Models for Cooperative Games with Fuzzy Relations among the Agents by : Andrés Jiménez-Losada
Download or read book Models for Cooperative Games with Fuzzy Relations among the Agents written by Andrés Jiménez-Losada and published by Springer. This book was released on 2017-04-11 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Topics in game theory by : Vitaly Pruzhansky
Download or read book Topics in game theory written by Vitaly Pruzhansky and published by Rozenberg Publishers. This book was released on 2001 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Game Theory in Management Accounting by : David Mueller
Download or read book Game Theory in Management Accounting written by David Mueller and published by Springer. This book was released on 2017-09-21 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates what kind of problems, originating in a management accounting setting, may be solved with game theoretic models. Game theory has experienced growing interest and numerous applications in the field of management accounting. The main focus traditionally has been on the field of non-cooperative behaviour, but the area of cooperative game theory has developed rapidly and has received increasing attention. Intensive research, in combination with the changing culture of publishing, has produced a nearly unmanageable number of publications in the areas concerned. Therefore, one main purpose of this volume is providing an intensive analysis of the intersection of these areas. In addition, the book strengthens the relationship between the theory and the practical applications and it illustrates the two-sided relationship between game theory and management accounting: new game theoretic models offer new fields of applications and these applications raise new questions for the theory.
Book Synopsis Handbook of the Shapley Value by : Encarnación Algaba
Download or read book Handbook of the Shapley Value written by Encarnación Algaba and published by CRC Press. This book was released on 2019-12-06 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of the Shapley Value contains 24 chapters and a foreword written by Alvin E. Roth, who was awarded the Nobel Memorial Prize in Economic Sciences jointly with Lloyd Shapley in 2012. The purpose of the book is to highlight a range of relevant insights into the Shapley value. Every chapter has been written to honor Lloyd Shapley, who introduced this fascinating value in 1953. The first chapter, by William Thomson, places the Shapley value in the broader context of the theory of cooperative games, and briefly introduces each of the individual contributions to the volume. This is followed by a further contribution from the editors of the volume, which serves to introduce the more significant features of the Shapley value. The rest of the chapters in the book deal with different theoretical or applied aspects inspired by this interesting value and have been contributed specifically for this volume by leading experts in the area of Game Theory. Chapters 3 through to 10 are more focused on theoretical aspects of the Shapley value, Chapters 11 to 15 are related to both theoretical and applied areas. Finally, from Chapter 16 to Chapter 24, more attention is paid to applications of the Shapley value to different problems encountered across a diverse range of fields. As expressed by William Thomson in the Introduction to the book, "The chapters contribute to the subject in several dimensions: Mathematical foundations; axiomatic foundations; computations; applications to special classes of games; power indices; applications to enriched classes of games; applications to concretely specified allocation problems: an ever-widening range, mapping allocation problems into games or implementation." Nowadays, the Shapley value continues to be as appealing as when it was first introduced in 1953, or perhaps even more so now that its potential is supported by the quantity and quality of the available results. This volume collects a large amount of work that definitively demonstrates that the Shapley value provides answers and solutions to a wide variety of problems.
Book Synopsis Cooperative Lot Sizing Games in Supply Chains by : Julia Drechsel
Download or read book Cooperative Lot Sizing Games in Supply Chains written by Julia Drechsel and published by Springer Science & Business Media. This book was released on 2010-08-18 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
