Monotone Games

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Monotone Games

Author : Tarun Sabarwal
Publisher : Springer Nature
ISBN 13 : 3030455130
Total Pages : 176 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Monotone Games by : Tarun Sabarwal

Download or read book Monotone Games written by Tarun Sabarwal and published by Springer Nature. This book was released on 2020-10-26 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Palgrave Pivot examines monotone games and studies incentives and outcomes when there are multiple players, and how the decision of each player affects the well-being of others in particular ways. Games with strategic complements exhibit codirectional incentives, or incentives for each player to move in the same direction as other players. Games with strategic substitutes exhibit contradirectional incentives, or incentives for each player to move in the direction opposite to other players. Monotone games include both types of players: some players have incentives to move in the same direction as other players and some players have incentives to move in the direction opposite to other players. This book develops the theory of monotone games in a new and unified manner and presents many applications. Incentives and outcomes studied in monotone games occur in a variety of disciplines, including biology, business, computer science, economics, mathematics, medicine, philosophy, political science, and psychology, among others. The book identifies unifying threads across different cases, showing how newer results are similar to or different from previous results, and how readers may better understand them under the umbrella of monotone games.

Set Functions, Games and Capacities in Decision Making

Author : Michel Grabisch
Publisher : Springer
ISBN 13 : 3319306901
Total Pages : 473 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Set Functions, Games and Capacities in Decision Making by : Michel Grabisch

Download or read book Set Functions, Games and Capacities in Decision Making written by Michel Grabisch and published by Springer. This book was released on 2016-06-15 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a thorough treatment of set functions, games and capacities as well as integrals with respect to capacities and games, in a mathematical rigorous presentation and in view of application to decision making. After a short chapter introducing some required basic knowledge (linear programming, polyhedra, ordered sets) and notation, the first part of the book consists of three long chapters developing the mathematical aspects. This part is not related to a particular application field and, by its neutral mathematical style, is useful to the widest audience. It gathers many results and notions which are scattered in the literature of various domains (game theory, decision, combinatorial optimization and operations research). The second part consists of three chapters, applying the previous notions in decision making and modelling: decision under uncertainty, decision with multiple criteria, possibility theory and Dempster-Shafer theory.

Triangular Norm-Based Measures and Games with Fuzzy Coalitions

Author : D. Butnariu
Publisher : Springer Science & Business Media
ISBN 13 : 9401736022
Total Pages : 207 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Triangular Norm-Based Measures and Games with Fuzzy Coalitions by : D. Butnariu

Download or read book Triangular Norm-Based Measures and Games with Fuzzy Coalitions written by D. Butnariu and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present, in a unified approach, a series of mathematical results con cerning triangular norm-based measures and a class of cooperative games with Juzzy coalitions. Our approach intends to emphasize that triangular norm-based measures are powerful tools in exploring the coalitional behaviour in 'such games. They not and simplify some technical aspects of the already classical axiomatic the only unify ory of Aumann-Shapley values, but also provide new perspectives and insights into these results. Moreover, this machinery allows us to obtain, in the game theoretical context, new and heuristically meaningful information, which has a significant impact on balancedness and equilibria analysis in a cooperative environment. From a formal point of view, triangular norm-based measures are valuations on subsets of a unit cube [0, 1]X which preserve dual binary operations induced by trian gular norms on the unit interval [0, 1]. Triangular norms (and their dual conorms) are algebraic operations on [0,1] which were suggested by MENGER [1942] and which proved to be useful in the theory of probabilistic metric spaces (see also [WALD 1943]). The idea of a triangular norm-based measure was implicitly used under various names: vector integrals [DVORETZKY, WALD & WOLFOWITZ 1951], prob abilities oj Juzzy events [ZADEH 1968], and measures on ideal sets [AUMANN & SHAPLEY 1974, p. 152].

Computational Aspects of Cooperative Game Theory

Author : Georgios Raedt
Publisher : Springer Nature
ISBN 13 : 3031015584
Total Pages : 150 pages
Book Rating : 4.0/5 (31 download)

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

Download or read book Computational Aspects of Cooperative Game Theory written by Georgios Raedt and published by Springer Nature. This book was released on 2022-05-31 with total page 150 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.

The Seventh European Conference on Combinatorics, Graph Theory and Applications

Author : Jaroslav Nešetřil
Publisher : Springer Science & Business Media
ISBN 13 : 887642475X
Total Pages : 600 pages
Book Rating : 4.8/5 (764 download)

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Book Synopsis The Seventh European Conference on Combinatorics, Graph Theory and Applications by : Jaroslav Nešetřil

Download or read book The Seventh European Conference on Combinatorics, Graph Theory and Applications written by Jaroslav Nešetřil and published by Springer Science & Business Media. This book was released on 2014-01-18 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the tradition of EuroComb'01 (Barcelona), Eurocomb'03 (Prague), EuroComb'05 (Berlin), Eurocomb'07 (Seville), Eurocomb'09 (Bordeaux), and Eurocomb'11 (Budapest), this volume covers recent advances in combinatorics and graph theory including applications in other areas of mathematics, computer science and engineering. Topics include, but are not limited to: Algebraic combinatorics, combinatorial geometry, combinatorial number theory, combinatorial optimization, designs and configurations, enumerative combinatorics, extremal combinatorics, ordered sets, random methods, topological combinatorics.

Lectures in Game Theory for Computer Scientists

Author : Krzysztof R. Apt
Publisher : Cambridge University Press
ISBN 13 : 113949418X
Total Pages : 308 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Lectures in Game Theory for Computer Scientists by : Krzysztof R. Apt

Download or read book Lectures in Game Theory for Computer Scientists written by Krzysztof R. Apt and published by Cambridge University Press. This book was released on 2011-01-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Games provide mathematical models for interaction. Numerous tasks in computer science can be formulated in game-theoretic terms. This fresh and intuitive way of thinking through complex issues reveals underlying algorithmic questions and clarifies the relationships between different domains. This collection of lectures, by specialists in the field, provides an excellent introduction to various aspects of game theory relevant for applications in computer science that concern program design, synthesis, verification, testing and design of multi-agent or distributed systems. Originally devised for a Spring School organised by the GAMES Networking Programme in 2009, these lectures have since been revised and expanded, and range from tutorials concerning fundamental notions and methods to more advanced presentations of current research topics. This volume is a valuable guide to current research on game-based methods in computer science for undergraduate and graduate students. It will also interest researchers working in mathematical logic, computer science and game theory.

Analytics for the Sharing Economy: Mathematics, Engineering and Business Perspectives

Author : Emanuele Crisostomi
Publisher : Springer Nature
ISBN 13 : 3030350320
Total Pages : 343 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Analytics for the Sharing Economy: Mathematics, Engineering and Business Perspectives by : Emanuele Crisostomi

Download or read book Analytics for the Sharing Economy: Mathematics, Engineering and Business Perspectives written by Emanuele Crisostomi and published by Springer Nature. This book was released on 2020-03-11 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an encompassing overview of all aspects relating to the sharing economy paradigm in different fields of study, and shows the ongoing research efforts in filling previously identified gaps in understanding in this area. Control and optimization analytics for the sharing economy explores bespoke analytics, tools, and business models that can be used to help design collaborative consumption services (the shared economy). It provides case studies of collaborative consumption in the areas of energy and mobility. The contributors review successful examples of sharing systems, and explore the theory for designing effective and stable shared-economy models. They discuss recent innovations in and uses of shared economy models in niche areas, such as energy and mobility. Readers learn the scientific challenging issues associated with the realization of a sharing economy. Conceptual and practical matters are examined, and the state-of-the-art tools and techniques to address such applications are explained. The contributors also show readers how topical problems in engineering, such as energy consumption in power grids, or bike sharing in transportation networks, can be formulated and solved from a general collaborative consumption perspective. Since the book takes a mathematical perspective to the topic, researchers in business, computer science, optimization and control find it useful. Practitioners also use the book as a point of reference, as it explores and investigates the analytics behind economy sharing.

Game Theory and Applications IV

Author : Leon Aganesovich Petrosi︠a︡n
Publisher : Nova Publishers
ISBN 13 : 9781560726296
Total Pages : 206 pages
Book Rating : 4.7/5 (262 download)

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Book Synopsis Game Theory and Applications IV by : Leon Aganesovich Petrosi︠a︡n

Download or read book Game Theory and Applications IV written by Leon Aganesovich Petrosi︠a︡n and published by Nova Publishers. This book was released on 1998 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprises 18 contributions on game theory and its applications. Representative topics include: the normalized Banzhaf value and the Banzhaf share function; game problems on rotation surfaces; an optimal stopping of random walks game with reflection; Nash- Hurwitz equilibrium for non-cooperative games; a survey on communication in cooperation games; and selectors of the core and consistency properties. Annotation copyrighted by Book News, Inc., Portland, OR

Positional Games

Author : Dan Hefetz
Publisher : Springer
ISBN 13 : 3034808259
Total Pages : 154 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Positional Games by : Dan Hefetz

Download or read book Positional Games written by Dan Hefetz and published by Springer. This book was released on 2014-06-13 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is based on a lecture course given by the authors in the framework of Oberwolfach Seminars at the Mathematisches Forschungsinstitut Oberwolfach in May, 2013. It is intended to serve as a thorough introduction to the rapidly developing field of positional games. This area constitutes an important branch of combinatorics, whose aim it is to systematically develop an extensive mathematical basis for a variety of two player perfect information games. These ranges from such popular games as Tic-Tac-Toe and Hex to purely abstract games played on graphs and hypergraphs. The subject of positional games is strongly related to several other branches of combinatorics such as Ramsey theory, extremal graph and set theory, and the probabilistic method. These notes cover a variety of topics in positional games, including both classical results and recent important developments. They are presented in an accessible way and are accompanied by exercises of varying difficulty, helping the reader to better understand the theory. The text will benefit both researchers and graduate students in combinatorics and adjacent fields.

Graph-Theoretic Concepts in Computer Science

Author : Hajo Broersma
Publisher : Springer Science & Business Media
ISBN 13 : 3540922474
Total Pages : 396 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Graph-Theoretic Concepts in Computer Science by : Hajo Broersma

Download or read book Graph-Theoretic Concepts in Computer Science written by Hajo Broersma and published by Springer Science & Business Media. This book was released on 2008-12-18 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 34th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2008, held in Durham, UK, in June/July 2008. The 30 revised full papers presented together with 3 invited paper were carefully reviewed and selected from 76 submissions. The papers feature original results on all aspects of graph-theoretic concepts in Computer Science, e.g. structural graph theory, sequential, parallel, and distributed graph and network algorithms and their complexity, graph grammars and graph rewriting systems, graph-based modeling, graph-drawing and layout, diagram methods, and support of these concepts by suitable implementations.

Mechanisms for Stability and Welfare: Increasing Cooperation among Self-interested Agents

Author : Reshef Meir
Publisher : Lulu.com
ISBN 13 : 129197962X
Total Pages : 200 pages
Book Rating : 4.2/5 (919 download)

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Book Synopsis Mechanisms for Stability and Welfare: Increasing Cooperation among Self-interested Agents by : Reshef Meir

Download or read book Mechanisms for Stability and Welfare: Increasing Cooperation among Self-interested Agents written by Reshef Meir and published by Lulu.com. This book was released on 2014-08-10 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Too often an interaction among self-interested parties leads to an outcome that is not in the best interest of any of them. In this thesis, I look at such interactions as games, so that the loss of stability and welfare can be measured and studied using the standard concepts of game theory such as equilibrium and utility. I study and design mechanisms that alter these games in order to induce more cooperation, stable outcomes, and higher utility for the participants.

Multiagent Systems, second edition

Author : Gerhard Weiss
Publisher : MIT Press
ISBN 13 : 0262533871
Total Pages : 917 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Multiagent Systems, second edition by : Gerhard Weiss

Download or read book Multiagent Systems, second edition written by Gerhard Weiss and published by MIT Press. This book was released on 2016-10-28 with total page 917 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition of an introduction to multiagent systems that captures the state of the art in both theory and practice, suitable as textbook or reference. Multiagent systems are made up of multiple interacting intelligent agents—computational entities to some degree autonomous and able to cooperate, compete, communicate, act flexibly, and exercise control over their behavior within the frame of their objectives. They are the enabling technology for a wide range of advanced applications relying on distributed and parallel processing of data, information, and knowledge relevant in domains ranging from industrial manufacturing to e-commerce to health care. This book offers a state-of-the-art introduction to multiagent systems, covering the field in both breadth and depth, and treating both theory and practice. It is suitable for classroom use or independent study. This second edition has been completely revised, capturing the tremendous developments in multiagent systems since the first edition appeared in 1999. Sixteen of the book's seventeen chapters were written for this edition; all chapters are by leaders in the field, with each author contributing to the broad base of knowledge and experience on which the book rests. The book covers basic concepts of computational agency from the perspective of both individual agents and agent organizations; communication among agents; coordination among agents; distributed cognition; development and engineering of multiagent systems; and background knowledge in logics and game theory. Each chapter includes references, many illustrations and examples, and exercises of varying degrees of difficulty. The chapters and the overall book are designed to be self-contained and understandable without additional material. Supplemental resources are available on the book's Web site. Contributors Rafael Bordini, Felix Brandt, Amit Chopra, Vincent Conitzer, Virginia Dignum, Jürgen Dix, Ed Durfee, Edith Elkind, Ulle Endriss, Alessandro Farinelli, Shaheen Fatima, Michael Fisher, Nicholas R. Jennings, Kevin Leyton-Brown, Evangelos Markakis, Lin Padgham, Julian Padget, Iyad Rahwan, Talal Rahwan, Alex Rogers, Jordi Sabater-Mir, Yoav Shoham, Munindar P. Singh, Kagan Tumer, Karl Tuyls, Wiebe van der Hoek, Laurent Vercouter, Meritxell Vinyals, Michael Winikoff, Michael Wooldridge, Shlomo Zilberstein

Evolutionary Dynamics and Extensive Form Games

Author : Ross Cressman
Publisher : MIT Press
ISBN 13 : 9780262033053
Total Pages : 346 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Evolutionary Dynamics and Extensive Form Games by : Ross Cressman

Download or read book Evolutionary Dynamics and Extensive Form Games written by Ross Cressman and published by MIT Press. This book was released on 2003 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolutionary game theory attempts to predict individual behavior (whether of humans or other species) when interactions between individuals are modeled as a noncooperative game. Most dynamic analyses of evolutionary games are based on their normal forms, despite the fact that many interesting games are specified more naturally through their extensive forms. Because every extensive form game has a normal form representation, some theorists hold that the best way to analyze an extensive form game is simply to ignore the extensive form structure and study the game in its normal form representation. This book rejects that suggestion, arguing that a game's normal form representation often omits essential information from the perspective of dynamic evolutionary game theory.

Network Games, Control, and Optimization

Author : Jean Walrand
Publisher : Springer
ISBN 13 : 3030108805
Total Pages : 287 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Network Games, Control, and Optimization by : Jean Walrand

Download or read book Network Games, Control, and Optimization written by Jean Walrand and published by Springer. This book was released on 2019-02-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume offers a collection of papers presented at the 2018 Network Games, Control, and Optimization conference (NETGCOOP), held at the New York University Tandon School of Engineering in New York City, November 14-16, 2018. These papers highlight the increasing importance of network control and optimization in many networking application domains, such as mobile and fixed access networks, computer networks, social networks, transportation networks, and, more recently, electricity grids and biological networks. Covering a wide variety of both theoretical and applied topics in the areas listed above, the authors explore several conceptual and algorithmic tools that are needed for efficient and robust control operation, performance optimization, and better understanding the relationships between entities that may be acting cooperatively or selfishly in uncertain and possibly adversarial environments. As such, this volume will be of interest to applied mathematicians, computer scientists, engineers, and researchers in other related fields.

Graph-Theoretic Concepts in Computer Science

Author : Christophe Paul
Publisher : Springer
ISBN 13 : 3642114091
Total Pages : 353 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Graph-Theoretic Concepts in Computer Science by : Christophe Paul

Download or read book Graph-Theoretic Concepts in Computer Science written by Christophe Paul and published by Springer. This book was released on 2009-12-03 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 35th International Workshop on Graph-Theoretic Concepts in Computer Science (WG 2009) took place at Montpellier (France), June 24–26 2009. About 80 computer scientists from all over the world (Australia, Belgium, Canada, China, Czech Republic, France, Germany, Greece, Israel, Japan, Korea, The Netherlands, Norway, Spain, UK, USA) attended the conference. Since1975,ithastakenplace20timesinGermany,fourtimesinTheNeth- lands, twice in Austria, as well as once in Italy, Slovakia, Switzerland, the Czech Republic, France, Norway, and the UK. The conference aims at uniting theory and practice by demonstrating how graph-theoretic concepts can be applied to various areas in computer science, or by extracting new problems from appli- tions. The goal is to present recent research results and to identify and explore directions of future research. The conference is well-balanced with respect to established researchers and young scientists. There were 69 submissions. Each submission was reviewed by at least three, and on average four, Program Committee members. The Committee decided to accept 28 papers. Due to the competition and the limited schedule, some good papers could not be accepted. Theprogramalsoincludedexcellentinvitedtalks:onegivenbyDanielKràlon “AlgorithmsforClassesofGraphswithBoundedExpansion,” the otherbyDavid Eppsteinon“Graph-TheoreticSolutionstoComputationalGeometryProblems.” The proceedings contains two survey papers on these topics.

The Cooperative Game Theory of Networks and Hierarchies

Author : Robert P. Gilles
Publisher : Springer Science & Business Media
ISBN 13 : 3642052827
Total Pages : 264 pages
Book Rating : 4.6/5 (42 download)

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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.

Handbook of the Shapley Value

Author : Encarnación Algaba
Publisher : CRC Press
ISBN 13 : 1351241397
Total Pages : 472 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 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.