Computational Aspects of Cooperative Game Theory

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Author :
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1608456528
Total Pages : 171 pages
Book Rating : 4.6/5 (84 download)

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Book Synopsis Computational Aspects of Cooperative Game Theory by : Georgios Chalkiadakis

Download or read book Computational Aspects of Cooperative Game Theory written by Georgios Chalkiadakis and published by Morgan & Claypool Publishers. This book was released on 2012 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cooperative game theory is a branch of (micro-)economics that studies the behavior of self-interested agents in strategic settings where binding agreements among agents are possible. Our aim in this book is to present a survey of work on the computational aspects of cooperative game theory. We begin by formally defining transferable utility games in characteristic function form, and introducing key solution concepts such as the core and the Shapley value. We then discuss two major issues that arise when considering such games from a computational perspective: identifying compact representations for games, and the closely related problem of efficiently computing solution concepts for games. We survey several formalisms for cooperative games that have been proposed in the literature, including, for example, cooperative games defined on networks, as well as general compact representation schemes such as MC-nets and skill games. As a detailed case study, we consider weighted voting games: a widely-used and practically important class of cooperative games that inherently have a natural compact representation. We investigate the complexity of solution concepts for such games, and generalizations of them. We briefly discuss games with non-transferable utility and partition function games. We then overview algorithms for identifying welfare-maximizing coalition structures and methods used by rational agents to form coalitions (even under uncertainty), including bargaining algorithms. We conclude by considering some developing topics, applications, and future research directions.

Models in Cooperative Game Theory

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 354077954X
Total Pages : 203 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Models in Cooperative Game Theory by : Rodica Branzei

Download or read book Models in Cooperative Game Theory written by Rodica Branzei and published by Springer Science & Business Media. This book was released on 2008-03-08 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Noncooperative Game Theory

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691175217
Total Pages : 242 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Noncooperative Game Theory by : João P. Hespanha

Download or read book Noncooperative Game Theory written by João P. Hespanha and published by Princeton University Press. This book was released on 2017-06-13 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncooperative Game Theory is aimed at students interested in using game theory as a design methodology for solving problems in engineering and computer science. João Hespanha shows that such design challenges can be analyzed through game theoretical perspectives that help to pinpoint each problem's essence: Who are the players? What are their goals? Will the solution to "the game" solve the original design problem? Using the fundamentals of game theory, Hespanha explores these issues and more. The use of game theory in technology design is a recent development arising from the intrinsic limitations of classical optimization-based designs. In optimization, one attempts to find values for parameters that minimize suitably defined criteria—such as monetary cost, energy consumption, or heat generated. However, in most engineering applications, there is always some uncertainty as to how the selected parameters will affect the final objective. Through a sequential and easy-to-understand discussion, Hespanha examines how to make sure that the selection leads to acceptable performance, even in the presence of uncertainty—the unforgiving variable that can wreck engineering designs. Hespanha looks at such standard topics as zero-sum, non-zero-sum, and dynamics games and includes a MATLAB guide to coding. Noncooperative Game Theory offers students a fresh way of approaching engineering and computer science applications. An introduction to game theory applications for students of engineering and computer science Materials presented sequentially and in an easy-to-understand fashion Topics explore zero-sum, non-zero-sum, and dynamics games MATLAB commands are included

The Pre-Kernel as a Tractable Solution for Cooperative Games

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 364239549X
Total Pages : 270 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis The Pre-Kernel as a Tractable Solution for Cooperative Games by : Holger Ingmar Meinhardt

Download or read book The Pre-Kernel as a Tractable Solution for Cooperative Games written by Holger Ingmar Meinhardt and published by Springer Science & Business Media. This book was released on 2013-10-23 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This present book provides an alternative approach to study the pre-kernel solution of transferable utility games based on a generalized conjugation theory from convex analysis. Although the pre-kernel solution possesses an appealing axiomatic foundation that lets one consider this solution concept as a standard of fairness, the pre-kernel and its related solutions are regarded as obscure and too technically complex to be treated as a real alternative to the Shapley value. Comprehensible and efficient computability is widely regarded as a desirable feature to qualify a solution concept apart from its axiomatic foundation as a standard of fairness. We review and then improve an approach to compute the pre-kernel of a cooperative game by the indirect function. The indirect function is known as the Fenchel-Moreau conjugation of the characteristic function. Extending the approach with the indirect function, we are able to characterize the pre-kernel of the grand coalition simply by the solution sets of a family of quadratic objective functions.

Game Theory and the Social Contract: Just playing

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Publisher : MIT Press
ISBN 13 : 9780262024440
Total Pages : 624 pages
Book Rating : 4.0/5 (244 download)

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Book Synopsis Game Theory and the Social Contract: Just playing by : K. G. Binmore

Download or read book Game Theory and the Social Contract: Just playing written by K. G. Binmore and published by MIT Press. This book was released on 1994 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for an interdisciplinary audience, Just Playing offers a panoramic tour through a range of new and disturbing insights that game theory brings to anthropology, biology, economics, philosophy, and psychology.

A Game-Theoretic Perspective on Coalition Formation

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Publisher : Oxford University Press
ISBN 13 : 019920795X
Total Pages : 336 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis A Game-Theoretic Perspective on Coalition Formation by : Debraj Ray

Download or read book A Game-Theoretic Perspective on Coalition Formation written by Debraj Ray and published by Oxford University Press. This book was released on 2007-11 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing upon and extending his inaugural Lipsey Lectures, Debraj Ray looks at coalition formation from the perspective of game theory. Ray brings together developments in both cooperative and noncooperative game theory to study the analytics of coalition formation and binding agreements.

Handbook of the Shapley Value

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Publisher : CRC Press
ISBN 13 : 1351241397
Total Pages : 507 pages
Book Rating : 4.3/5 (512 download)

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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 507 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.

Game Theory and Economic Analysis

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Author :
Publisher : Routledge
ISBN 13 : 1134511175
Total Pages : 362 pages
Book Rating : 4.1/5 (345 download)

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Book Synopsis Game Theory and Economic Analysis by : Christian Schmidt

Download or read book Game Theory and Economic Analysis written by Christian Schmidt and published by Routledge. This book was released on 2002-06-20 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the huge variety of current contributions of game theory to economics. The impressive contributions fall broadly into two categories. Some lay out in a jargon free manner a particular branch of the theory, the evolution of one of its concepts, or a problem, that runs through its development. Others are original pieces of work tha

Game Theory in Wireless and Communication Networks

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Publisher : Cambridge University Press
ISBN 13 : 0521196965
Total Pages : 555 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Game Theory in Wireless and Communication Networks by : Zhu Han

Download or read book Game Theory in Wireless and Communication Networks written by Zhu Han and published by Cambridge University Press. This book was released on 2012 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unified 2001 treatment of game theory focuses on finding state-of-the-art solutions to issues surrounding the next generation of wireless and communications networks. The key results and tools of game theory are covered, as are various real-world technologies and a wide range of techniques for modeling, design and analysis.

Non-Cooperative Planning Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642486363
Total Pages : 314 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Non-Cooperative Planning Theory by : Peter Bogetoft

Download or read book Non-Cooperative Planning Theory written by Peter Bogetoft and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Planning in a general sense is concerned with the design of communication and decision making mechanisms in organizations where information and choice are decentralized. Non-cooperative planning theory as it is developed in this book treats the incentive aspects hereof. It stresses how strategic behavior and opportunism may impede planning, and how this can be coped with via the organization of communication and decision making, the design of information and control systems, and the development of incentive schemes. In particular, the book contains a thorough investigation of incentive provision in information production.

Assets, Beliefs, and Equilibria in Economic Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540009115
Total Pages : 756 pages
Book Rating : 4.0/5 (91 download)

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Book Synopsis Assets, Beliefs, and Equilibria in Economic Dynamics by : Charalambos D. Aliprantis

Download or read book Assets, Beliefs, and Equilibria in Economic Dynamics written by Charalambos D. Aliprantis and published by Springer Science & Business Media. This book was released on 2004 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers dealing with a broad range of topics in mathematical economics, game theory and economic dynamics. The contributions present both theoretical and applied research. The volume is dedicated to Mordecai Kurz. The papers were presented in a special symposium co-hosted by the Stanford University Department of Economics and by the Stanford Institute of Economic Policy Research in August 2002.

Autonomous Vehicles

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Publisher : Elsevier
ISBN 13 : 0323901387
Total Pages : 204 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Autonomous Vehicles by : George Dimitrakopoulos

Download or read book Autonomous Vehicles written by George Dimitrakopoulos and published by Elsevier. This book was released on 2021-04-15 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Autonomous Vehicles: Technologies, Regulations, and Societal Impacts explores both the autonomous driving concepts and the key hardware and software enablers, Artificial intelligence tools, needed infrastructure, communication protocols, and interaction with non-autonomous vehicles. It analyses the impacts of autonomous driving using a scenario-based approach to quantify the effects on the overall economy and affected sectors. The book assess from a qualitative and quantitative approach, the future of autonomous driving, and the main drivers, challenges, and barriers. The book investigates whether individuals are ready to use advanced automated driving vehicles technology, and to what extent we as a society are prepared to accept highly automated vehicles on the road. Building on the technologies, opportunities, strengths, threats, and weaknesses, Autonomous Vehicles: Technologies, Regulations, and Societal Impacts discusses the needed frameworks for automated vehicles to move inside and around cities. The book concludes with a discussion on what in applications comes next, outlining the future research needs. - Broad, interdisciplinary and systematic coverage of the key issues in autonomous driving and vehicles - Examines technological impact on society, governance, and the economy as a whole - Includes foundational topical coverage, case studies, objectives, and glossary

An Introductory Course on Mathematical Game Theory and Applications

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Publisher : American Mathematical Society
ISBN 13 : 1470475634
Total Pages : 432 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis An Introductory Course on Mathematical Game Theory and Applications by : Julio González-Díaz

Download or read book An Introductory Course on Mathematical Game Theory and Applications written by Julio González-Díaz and published by American Mathematical Society. This book was released on 2023-12-05 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as psychology, computer science, artificial intelligence, biology, and political science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. In this second edition, the content on cooperative games is considerably strengthened, with a new chapter on applications of cooperative games and operations research, including some material on computational aspects and applications outside academia.

Local Electricity Markets

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Publisher : Academic Press
ISBN 13 : 0128226668
Total Pages : 474 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Local Electricity Markets by : Tiago Pinto

Download or read book Local Electricity Markets written by Tiago Pinto and published by Academic Press. This book was released on 2021-07-03 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Local Electricity Markets introduces the fundamental characteristics, needs, and constraints shaping the design and implementation of local electricity markets. It addresses current proposed local market models and lessons from their limited practical implementation. The work discusses relevant decision and informatics tools considered important in the implementation of local electricity markets. It also includes a review on management and trading platforms, including commercially available tools. Aspects of local electricity market infrastructure are identified and discussed, including physical and software infrastructure. It discusses the current regulatory frameworks available for local electricity market development internationally. The work concludes with a discussion of barriers and opportunities for local electricity markets in the future. - Delineates key components shaping the design and implementation of local electricity market structure - Provides a coherent view on the enabling infrastructures and technologies that underpin local market expansion - Explores the current regulatory environment for local electricity markets drawn from a global panel of contributors - Exposes future paths toward widespread implementation of local electricity markets using an empirical review of barriers and opportunities - Reviews relevant local electricity market case studies, pilots and demonstrators already deployed and under implementation

Techniques and Tools for the Design and Implementation of Enterprise Information Systems

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Publisher : IGI Global
ISBN 13 : 1599048299
Total Pages : 408 pages
Book Rating : 4.5/5 (99 download)

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Book Synopsis Techniques and Tools for the Design and Implementation of Enterprise Information Systems by : Gunasekaran, Angappa

Download or read book Techniques and Tools for the Design and Implementation of Enterprise Information Systems written by Gunasekaran, Angappa and published by IGI Global. This book was released on 2008-04-30 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inter-organizational information systems play a major role in improving communication and integration between partnering firms to achieve an integrated global supply chain. Current research in enterprise resource planning and electronic commerce is crucial to maintaining efficient supply chain management and organizational competitiveness. Techniques and Tools for the Design & Implementation of Enterprise Information Systems enables libraries to provide an invaluable resource to academicians and practitioners in fields such as operations management, Web engineering, information technology, and management information systems, providing insight into the effective design and implementation of enterprise information systems to improve communication and integration between partnering firms to achieve an integrated global supply chain.

OPTIMIZATION AND OPERATIONS RESEARCH – Volume III

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Publisher : EOLSS Publications
ISBN 13 : 1905839502
Total Pages : 438 pages
Book Rating : 4.9/5 (58 download)

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Book Synopsis OPTIMIZATION AND OPERATIONS RESEARCH – Volume III by : Ulrich Derigs

Download or read book OPTIMIZATION AND OPERATIONS RESEARCH – Volume III written by Ulrich Derigs and published by EOLSS Publications. This book was released on 2009-02-09 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization and Operations Research is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Optimization and Operations Research is organized into six different topics which represent the main scientific areas of the theme: 1. Fundamentals of Operations Research; 2. Advanced Deterministic Operations Research; 3. Optimization in Infinite Dimensions; 4. Game Theory; 5. Stochastic Operations Research; 6. Decision Analysis, which are then expanded into multiple subtopics, each as a chapter. These four volumes are aimed at the following five major target audiences: University and College students Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers and NGOs.

Conflict Resolution Using the Graph Model: Strategic Interactions in Competition and Cooperation

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Author :
Publisher : Springer
ISBN 13 : 3319776703
Total Pages : 463 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Conflict Resolution Using the Graph Model: Strategic Interactions in Competition and Cooperation by : Haiyan Xu

Download or read book Conflict Resolution Using the Graph Model: Strategic Interactions in Competition and Cooperation written by Haiyan Xu and published by Springer. This book was released on 2018-05-11 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This cutting-edge book presents the theory and practice of the Graph Model for Conflict Resolution (GMCR), which is used for strategically investigating disputes in any field to enable informed decision making. It clearly explains how GMCR can determine what is the best a particular decision maker (DM) can independently achieve in dynamic interaction with others. Moves and counter-moves follow various stability definitions reflecting human behavior under conflict. The book defines a wide range of preference structures to represent a DM’s comparisons of states or scenarios: equally preferred, more or less preferred; unknown; degrees of strength of preference; and hybrid. It vividly describes how GMCR can ascertain whether a DM can fare even better by cooperating with others in a coalition. The book portrays how a conflict can evolve from the status quo to a desirable resolution, and provides a universal design for a decision support system to implement the innovative decision technologies using the matrix formulation of GMCR. Further, it illustrates the key ideas using real-world conflicts and supplies problems at the end of each chapter. As such, this highly instructive book benefits teachers, mentors, students and practitioners in any area where conflict arises.