Description
Book SynopsisThe "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
