Values of Non-Atomic Games
1st Edition
Published on 16. June 2015
348 pages
978-1-4008-6708-0 (ISBN)
Description
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.
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.
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Other editions
Additional editions
Robert J. Aumann | Lloyd S. Shapley
Values of Non-Atomic Games
Book
04/2016
Princeton University Press
€116.10
Article not available at the moment
Robert J. Aumann | Lloyd S. Shapley
Values of Non-Atomic Games
Book
03/2015
Princeton University Press
€41.60
Article not available at the moment
Robert J. Aumann | Lloyd S. Shapley
Values of Non-Atomic Games
Book
07/1974
Princeton University Press
€61.90
Article exhausted; check different version
Persons
Robert J. Aumann & Lloyd S. Shapley
Content
Frontmatter, pg. i
Contents, pg. vii
Preface, pg. ix
Introduction, pg. 1
Chapter I. The Axiomatic Approach, pg. 11
Chapter II. The Random Order Approach, pg. 93
Chapter III. The Asymptotic Approach, pg. 126
Chapter IV. Values and Derivatives, pg. 141
Chapter V. The Value and the Core, pg. 167
Chapter VI. An Application to Economic Equilibrium, pg. 175
Chapter VII. The Diagonal Property, pg. 252
Chapter VIII. Removal of the Standardness Assumption, pg. 281
Appendix A. Finite Games and Their Values, pg. 295
Appendix B. e-Monotonicity, pg. 301
Appendix C. The Mixing Value of Absolutely Continuous Set Functions, pg. 304
References, pg. 315
Index of Special Spaces and Sets, pg. 321
Index, pg. 323
Contents, pg. vii
Preface, pg. ix
Introduction, pg. 1
Chapter I. The Axiomatic Approach, pg. 11
Chapter II. The Random Order Approach, pg. 93
Chapter III. The Asymptotic Approach, pg. 126
Chapter IV. Values and Derivatives, pg. 141
Chapter V. The Value and the Core, pg. 167
Chapter VI. An Application to Economic Equilibrium, pg. 175
Chapter VII. The Diagonal Property, pg. 252
Chapter VIII. Removal of the Standardness Assumption, pg. 281
Appendix A. Finite Games and Their Values, pg. 295
Appendix B. e-Monotonicity, pg. 301
Appendix C. The Mixing Value of Absolutely Continuous Set Functions, pg. 304
References, pg. 315
Index of Special Spaces and Sets, pg. 321
Index, pg. 323
