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Author: Encarnación Algaba Publisher: CRC Press ISBN: 1351241397 Category : Business & Economics Languages : en Pages : 507
Book Description
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.
Author: Encarnación Algaba Publisher: CRC Press ISBN: 1351241397 Category : Business & Economics Languages : en Pages : 507
Book Description
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.
Author: Leon A Petrosyan Publisher: World Scientific ISBN: 9811202028 Category : Mathematics Languages : en Pages : 621
Book Description
This is a collection of recent novel contributions in game theory from a group of prominent authors in the field. It covers Non-cooperative Games, Equilibrium Analysis, Cooperative Games and Axiomatic Values in static and dynamic contexts.Part 1: Non-cooperative Games and Equilibrium AnalysisIn game theory, a non-cooperative game is a game with competition between individual players and in which only self-enforcing (e.g. through credible threats) alliances (or competition between groups of players, called 'coalitions') are possible due to the absence of external means to enforce cooperative behavior (e.g. contract law), as opposed to cooperative games. In fact, non-cooperative games are the foundation for the development of cooperative games by acting as the status quo. Non-cooperative games are generally analysed through the framework of equilibrium, which tries to predict players' individual strategies and payoffs. Indeed, equilibrium analysis is the centre of non-cooperative games. This volume on non-cooperative games and equilibrium analysis contains a variety of non-cooperative games and non-cooperative game equilibria from prominent authors in the field.Part 2: Cooperative Games and Axiomatic ValuesIt is well known that non-cooperative behaviours, in general, would not lead to a Pareto optimal outcome. Highly undesirable outcomes (like the prisoner's dilemma) and even devastating results (like the tragedy of the commons) could appear when the involved parties only care about their individual interests in a non-cooperative situation. Cooperative games offer the possibility of obtaining socially optimal and group efficient solutions to decision problems involving strategic actions. In addition, axiomatic values serve as guidance for establishing cooperative solutions. This volume on cooperative games and axiomatic values presents a collection of cooperative games and axiomatic values from prominent authors in the field.
Author: Paul Milgrom Publisher: Cambridge University Press ISBN: 1139449168 Category : Business & Economics Languages : en Pages : 378
Book Description
This book provides a comprehensive introduction to modern auction theory and its important new applications. It is written by a leading economic theorist whose suggestions guided the creation of the new spectrum auction designs. Aimed at graduate students and professionals in economics, the book gives the most up-to-date treatments of both traditional theories of 'optimal auctions' and newer theories of multi-unit auctions and package auctions, and shows by example how these theories are used. The analysis explores the limitations of prominent older designs, such as the Vickrey auction design, and evaluates the practical responses to those limitations. It explores the tension between the traditional theory of auctions with a fixed set of bidders, in which the seller seeks to squeeze as much revenue as possible from the fixed set, and the theory of auctions with endogenous entry, in which bidder profits must be respected to encourage participation.
Author: Henry George Publisher: Jazzybee Verlag ISBN: 3849657973 Category : Political Science Languages : en Pages : 619
Book Description
This is the book that made its author Henry George suddenly famous. From the year 1879 to the present the doctrines of 'Progress and Poverty' have been familiar to all who are interested in social problems. The book has been read by many to whom Political Economy is still 'the dismal science', and it has been circulated in cheap editions by the thousand among the classes to which it holds out such an alluring prospect. 'Progress and Poverty' has become a classic in labor literature. Its doctrines have been accepted not only by many who see in them a means of personal rescue from distress and want, but by many others who are convinced by the reasoning of the author. Clergymen , in the Catholic as well as in the Protestant church, have become Mr. George's disciples, and business and professional men have gladly sat at his feet.
Author: James R. McGuigan Publisher: South Western Educational Publishing ISBN: Category : Asymmetrisk information Languages : en Pages : 840
Book Description
The emphasis on real world, manager-oriented applications shows students how managers apply theories and techniques to analyze and solve real world business problems. Over 200 applications, corporate examples, and Managerial Challenges - more than any other book - support this real world approach.
Author: James C. Scott Publisher: Yale University Press ISBN: 0300252986 Category : Political Science Languages : en Pages : 462
Book Description
“One of the most profound and illuminating studies of this century to have been published in recent decades.”—John Gray, New York Times Book Review Hailed as “a magisterial critique of top-down social planning” by the New York Times, this essential work analyzes disasters from Russia to Tanzania to uncover why states so often fail—sometimes catastrophically—in grand efforts to engineer their society or their environment, and uncovers the conditions common to all such planning disasters. “Beautifully written, this book calls into sharp relief the nature of the world we now inhabit.”—New Yorker “A tour de force.”— Charles Tilly, Columbia University
Author: Harold William Kuhn Publisher: Princeton University Press ISBN: 1400881978 Category : Mathematics Languages : en Pages : 408
Book Description
These two new collections, numbers 28 and 29 respectively in the Annals of Mathematics Studies, continue the high standard set by the earlier Annals Studies 20 and 24 by bringing together important contributions to the theories of games and of nonlinear differential equations.
Author: Encarnación Algaba
Author: Encarnación Algaba
Author: Leon A Petrosyan
Author: Paul Milgrom
Author: Alon Brav
Author: Albert William Tucker
Author: Henry George
Author: James R. McGuigan
Author: R. Henn
Author: James C. Scott
Author: Harold William Kuhn