图书简介
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 suppor
Chapter 1: The Shapley Value, a Crown Jewel of Cooperative Game Theory William Thomson Chapter 2: The Shapley Value, a Paradigm of Fairness Encarnacion Algaba, Vito Fragnelli, and Joaquin Sanchez-Soriano Chapter 3: An Index of Unfairness Victor H. Aguiar, Roland Pongou, Roberto Serrano, and Jean-Baptiste Tondji Chapter 4: The Shapley Value and Games with Hierarchies Encarnacion Algaba and Rene van den Brink Chapter 5: Values, Nullifiers and Dummifiers J.M. Alonso-Meijide, J. Costa, and I. Garcia-Jurado Chapter 6: Games with Identical Shapley Values Sylvain Beal, Mihai Manea, Eric Remila, and Philippe Solal Chapter 7: Several Bases of a Game Space and an Application to the Shapley Value Yukihiko Funaki and Koji Yokote Chapter 8: Extensions of the Shapley value for Environments with Externalities Ines Macho-Stadler, David Perez-Castrillo, and David Wettstein Chapter 9: The Shapley value and other values Giulia Bernardi and Roberto Lucchetti Chapter 10: Power and the Shapley Value Hans Peters Chapter 11: Cost Allocation with Variable Production and the Shapley Value M. J. Albizuri, J. C. Santos, and J. M. Zarzuelo Chapter 12: Pure Bargaining Problems and the Shapley Rule: A Survey Francesc Carreras and Guillermo Owen Chapter 13: The Shapley Value as a tool for evaluating groups: axiomatization and applications Ramon Flores, Elisenda Molina, and Juan Tejada Chapter 14: A value for j-cooperative games: some theoretical aspects and applications Josep Freixas Chapter 15: The Shapley value of corporation tax games with dual benefactors Ana Meca, Jose A. Garcia-Martinez, and Antonio J. Mayor-Serra Chapter 16: The Shapley value in Telecommunication Problems Joaquin Sanchez-Soriano Chapter 17: The Shapley rule for loss allocation in energy transmission networks Gustavo Bergantinos, Julio Gonzalez-Diaz, and Angel M. Gonzalez-Rueda Chapter 18: On Some Applications of the Shapley-Shubik Index for Finance and Politics Cesarino Bertini, Gianfranco Gambarelli, Izabella Stach, and Maurizio Zola Chapter 19: The Shapley Value in the Queueing Problem Youngsub Chun Chapter 20: Sometimes the Computation of the Shapley Value is Simple Marco Dall’Aglio, Vito Fragnelli, and Stefano Moretti Chapter 21: Analysing ISIS Zerkani Network using the Shapley Value Herbert Hamers, Bart Husslage, and Roy Lindelauf Chapter 22: A fuzzy approach to some Shapley value problems in group decision making Barbara Gladysz, Jacek Mercik, and David Ramsey Chapter 23: Shapley values for two-sided assignment markets Marina Nunez and Carles Rafels Chapter 24: The Shapley value in minimum cost spanning tree problems Christian Trudeau and Juan Vidal-Puga
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