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An Axiomatization Of The Disjunctvie Permission Value For Games With A Permission Structure
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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 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 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 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 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 472 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 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 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 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 Collected Papers by : Robert J. Aumann
Download or read book Collected Papers written by Robert J. Aumann and published by MIT Press. This book was released on 2000 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Aumann's career in game theory has spanned over research - from his doctoral dissertation in 1956 to papers as recent as January 1995. Threaded through all of Aumann's work (symbolized in his thesis on knots) is the study of relationships between different ideas, between different phenomena, and between ideas and phenomena. "When you look closely at one scientific idea", writes Aumann, "you find it hitched to all others. It is these hitches that I have tried to study". The papers are organized in several categories: general, knot theory, decision theory (utility and subjective probability), strategic games, coalitional games, and mathematical methods. Aumann has written an introduction to each of these groups that briefly describes the content and background of each paper, including the motivation and the research process, and relates it to other work in the collection and to work by others. There is also a citation index that allows readers to trace the considerable body of literature which cites Aumann's own work.
Book Synopsis Mathematics Applied to Engineering, Modelling, and Social Issues by : Frank T. Smith
Download or read book Mathematics Applied to Engineering, Modelling, and Social Issues written by Frank T. Smith and published by Springer. This book was released on 2019-03-14 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents several aspects of research on mathematics that have significant applications in engineering, modelling and social matters, discussing a number of current and future social issues and problems in which mathematical tools can be beneficial. Each chapter enhances our understanding of the research problems in a particular an area of study and highlights the latest advances made in that area. The self-contained contributions make the results and problems discussed accessible to readers, and provides references to enable those interested to follow subsequent studies in still developing fields. Presenting real-world applications, the book is a valuable resource for graduate students, researchers and educators. It appeals to general readers curious about the practical applications of mathematics in diverse scientific areas and social problems.
Book Synopsis Institutional Design and Voting Power in the European Union by : Karol Zyczkowski
Download or read book Institutional Design and Voting Power in the European Union written by Karol Zyczkowski and published by Routledge. This book was released on 2016-05-23 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading global experts in the field of politics and mathematics bring forth key insights on how voting power should be allocated between EU member states, and what the policy consequences are of any given institutional design. Close attention is paid to the practical implications of decision-making rules, the nature and distribution of power, and the most equitable ways to represent the preoccupations of European citizens both in the Council and European Parliament. Highly theoretical and methodologically advanced, this volume is set to enrich the debate on the future of the EU's institutional design. A valuable source of information to scholars of political science, European studies and law, as well as to people working on game theory, theory of voting and, in general, applications of mathematics to social science.
Book Synopsis Equilibrium, Markets and Dynamics by : Cars H. Hommes
Download or read book Equilibrium, Markets and Dynamics written by Cars H. Hommes and published by Springer Science & Business Media. This book was released on 2002-05-14 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains essays in honour of Claus Weddepohl who, after 22 years, is retiring as professor of mathematical economics at the Department of Quantitative Economics of the University of Amsterdam. Claus Weddepohl may be viewed as th~ first Dutch mathematical economist in the general equi librium tradition of Arrow, Debreu and Hahn. The essays in this book are centered around the themes Equilibrium, Markets and Dynamics, that have been at the heart of Weddepohl's work on mathematical economics for more than three decades. The essays have been classified according to these three themes. Admittedly such a classification always is somewhat arbitrary, and most essays would in fact fit into two or even all three themes. The essays have been written by international as well as Dutch friends and colleagues including Weddepohl's former Ph. D. students. The book starts with a review of Claus Weddepohl's work by Roald Ramer, who has been working with him in Amsterdam for all those years. The review describes how Weddepohl became fascinated by general equilibrium theory in the early stages of his career, how he has been working on the theory of markets throughout his career, and how he turned to applications of nonlinear dynamics to price adjustment processes in a later stage of his career. The first part of the book, Equilibrium, collects essays with general equilib rium theory as the main theme.
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.
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 Homo Oeconomicus 29 (2) by : Manfred J. Holler
Download or read book Homo Oeconomicus 29 (2) written by Manfred J. Holler and published by BoD – Books on Demand. This book was released on 2012-09-25 with total page 146 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 Management, Information and Educational Engineering by : Hsiang-Chuan Liu
Download or read book Management, Information and Educational Engineering written by Hsiang-Chuan Liu and published by CRC Press. This book was released on 2015-06-11 with total page 1306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains selected Computer, Management, Information and Educational Engineering related papers from the 2014 International Conference on Management, Information and Educational Engineering (MIEE 2014) which was held in Xiamen, China on November 22-23, 2014. The conference aimed to provide a platform for researchers, engineers and academic
