Handbook of the Shapley Value

Vito Fragnelli editor Encarnación Algaba editor Joaquín Sánchez-Soriano editor

Format:Paperback

Publisher:Taylor & Francis Ltd

Published:30th Sep '21

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Handbook of the Shapley Value cover

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.

"A nice contribution, offering researchers an up-to-date view of the many roads along which the interest for the Shapley value continues to develop, both in theory and in practice"

—Professor Fioravante Patrone, University of Genoa

"This handbook, written by the most prominent scientists in the field, offers an up-to-date survey on the Shapley value, a fundamental concept of game theory which have seen many applications in economics, operations research and artificial intelligence. A reference for both researchers and practitioners."

—Professor Michel Grabisch, Pantheon-Sorbonne University

"The Shapley value is alive and kicking: this book tells it all, from new axiomatic, mathematical, and computational insights, to applications in energy transmission, optimal queuing and terrorist networks."

—Professor Herve Moulin, University of Glasgow

"The Shapley Value is one of the most important contributions to Game Theory – a contribution that turned into a field of research and influenced multiple disciplines, including Economics, Business Administration, Political Science, Operations Research and Computer Science. Almost 70 years after its appearance, the field is still thriving.

The outstanding Handbook of the Shapley Value brings together a collection of contributions by leading experts from the field, with fresh and brilliant results about the tool and its applications. An essential reference for any researcher or student at advanced level, from any of the above mentioned disciplines, who wishes to be informed about this broadly applied concept and be inspired by it."

—Professor Eyal Winter, Lancaster University, Management School and Hebrew University, Center of the Study of Rationality

"Co-operative game theory - particularly its crown jewel, the Shapley value - is alive and kicking, as this remarkable collection of recent contributions shows."

—Professor Robert J. Aumann, The Hebrew University of Jerusalem


"A nice contribution, offering researchers an up-to-date view of the many roads along which the interest for the Shapley value continues to develop, both in theory and in practice"

—Professor Fioravante Patrone, University of Genoa

"This handbook, written by the most prominent scientists in the field, offers an up-to-date survey on the Shapley value, a fundamental concept of game theory which have seen many applications in economics, operations research and artificial intelligence. A reference for both researchers and practitioners."

—Professor Michel Grabisch, Pantheon-Sorbonne University

"The Shapley value is alive and kicking: this book tells it all, from new axiomatic, mathematical, and computational insights, to applications in energy transmission, optimal queuing and terrorist networks."

—Professor Herve Moulin, University of Glasgow

"The Shapley Value is one of the most important contributions to Game Theory – a contribution that turned into a field of research and influenced multiple disciplines, including Economics, Business Administration, Political Science, Operations Research and Computer Science. Almost 70 years after its appearance, the field is still thriving.

The outstanding Handbook of the Shapley Value brings together a collection of contributions by leading experts from the field, with fresh and brilliant results about the tool and its applications. An essential reference for any researcher or student at advanced level, from any of the above mentioned disciplines, who wishes to be informed about this broadly applied concept and be inspired by it."

—Professor Eyal Winter, Lancaster University, Management School and Hebrew University, Center of the Study of Rationality

"Co-operative game theory - particularly its crown jewel, the Shapley value - is alive and kicking, as this remarkable collection of recent contributions shows."

—Professor Robert J. Aumann, The Hebrew University of Jerusalem

ISBN: 9781032176116

Dimensions: unknown

Weight: 870g

608 pages