Values of Non-Atomic Games
Values of Non-Atomic Games

Author: Robert J. Aumann

Publisher: Princeton University Press

Published: 2015-03-08

Total Pages: 348

ISBN-13: 1400867088

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The "Shapley value" of a finite multi- person game associates to each player the amount he should be willing to pay to participate. This book extends the value concept to certain classes of non-atomic games, which are infinite-person games in which no individual player has significance. It is primarily a book of mathematics—a study of non-additive set functions and associated linear operators. Originally published in 1974. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Scientific and Technical Aerospace Reports
Scientific and Technical Aerospace Reports

Author:

Publisher:

Published: 1979

Total Pages: 738

ISBN-13:

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Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Collected Papers
Collected Papers

Author: Robert J. Aumann

Publisher: MIT Press

Published: 2000

Total Pages: 818

ISBN-13: 9780262011556

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Robert Aumann's career in game theory has spanned over research - from his doctoral dissertation in 1956 to papers as recent as January 1995. Threaded through all of Aumann's work (symbolized in his thesis on knots) is the study of relationships between different ideas, between different phenomena, and between ideas and phenomena. "When you look closely at one scientific idea", writes Aumann, "you find it hitched to all others. It is these hitches that I have tried to study". The papers are organized in several categories: general, knot theory, decision theory (utility and subjective probability), strategic games, coalitional games, and mathematical methods. Aumann has written an introduction to each of these groups that briefly describes the content and background of each paper, including the motivation and the research process, and relates it to other work in the collection and to work by others. There is also a citation index that allows readers to trace the considerable body of literature which cites Aumann's own work.

The Shapley value
The Shapley value

Author: Alvin E. Roth

Publisher: Cambridge University Press

Published: 1988-10-28

Total Pages: 342

ISBN-13: 052136177X

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This volume makes accessible the large body of work that has grown out of Shapley's seminal 1953 paper.

Game and Economic Theory
Game and Economic Theory

Author: Sergiu Hart

Publisher: University of Michigan Press

Published: 1995

Total Pages: 478

ISBN-13: 9780472106738

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Outstanding works showing the application of game theory to economic theory.

Game Theory and Its Applications
Game Theory and Its Applications

Author: William F. Lucas

Publisher: American Mathematical Soc.

Published: 1981

Total Pages: 135

ISBN-13: 0821800256

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"The media today, and especially the national press, are frequently in conflict with people in the public eye, particularly politicians and celebrities, over the disclosure of private information and behaviour. Historically, journalists have argued that 'naming and shaming' serious wrong-doing and behaviour on the part of public officials is justified as being in the public interest. However, when the media spotlight is shone on perfectly legal personal behaviour, family issues and sexual orientation, and when, in particular, this involves ordinary people, the question arises of whether such matters are really in the 'public interest' in any meaningful sense of the term. In this book, leading academics, commentators and journalists from a variety of different cultures, consider the extent to which the media are entitled to reveal details of people's private lives, the laws and regulations which govern such revelations, and whether these are still relevant in the age of social media."--Publisher's website.

Economics [4 volumes]
Economics [4 volumes]

Author: David A. Dieterle

Publisher: Bloomsbury Publishing USA

Published: 2017-03-27

Total Pages: 2345

ISBN-13: 0313397082

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A comprehensive four-volume resource that explains more than 800 topics within the foundations of economics, macroeconomics, microeconomics, and global economics, all presented in an easy-to-read format. As the global economy becomes increasingly complex, interconnected, and therefore relevant to each individual, in every country, it becomes more important to be economically literate—to gain an understanding of how things work beyond the microcosm of the economic needs of a single individual or family unit. This expansive reference set serves to establish basic economic literacy of students and researchers, providing more than 800 objective and factually driven entries on all the major themes and topics in economics. Written by leading scholars and practitioners, the set provides readers with a framework for understanding economics as mentioned and debated in the public forum and media. Each of the volumes includes coverage of important events throughout economic history, biographies of the major economists who have shaped the world of economics, and highlights of the legislative acts that have shaped the U.S. economy throughout history. The extensive explanations of major economic concepts combined with selected key historical primary source documents and a glossary will endow readers with a fuller comprehension of our economic world.

Algorithmic Game Theory
Algorithmic Game Theory

Author: Berthold Vöcking

Publisher: Springer

Published: 2013-10-09

Total Pages: 280

ISBN-13: 3642413927

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This book constitutes the proceedings of the 6th International Symposium on Algorithmic Game Theory, SAGT 2013, held in Aachen, Germany, in October 2013. The 25 papers presented in this volume were carefully reviewed and selected from 65 submissions. They cover various important aspects of algorithmic game theory, such as solution concepts in game theory, efficiency of equilibria and the price of anarchy, computational aspects of equilibria and game theoretical measures, repeated games and convergence of dynamics, evolution and learning in games, coordination and collective action, network games and graph-theoretic aspects of social networks, voting and social choice, as well as algorithmic mechanism design.

Handbook of the Shapley Value
Handbook of the Shapley Value

Author: Encarnación Algaba

Publisher: CRC Press

Published: 2019-12-06

Total Pages: 507

ISBN-13: 1351241397

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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.