Values of Non-Atomic Games
by Robert J. Aumann, Lloyd S. Shapley
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
Paperback
English
Brand New
Publisher 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
Table of Contents
*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
Long 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.
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