Values of non-atomic games / Robert J. Aumann, Lloyd S. Shapley.

Format:

Book

Author/Creator:

Aumann, Robert J., author.

Shapley, Lloyd S., 1923-2016, author.

Series:

Princeton legacy library.

Princeton Legacy Library

Language:

English

Subjects (All):

Game theory.

Physical Description:

1 online resource (348 pages).

Edition:

1st ed.

Place of Publication:

Princeton, New Jersey : Princeton University Press, 1974.

Language Note:

English

Summary:

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.

Contents:

Frontmatter

Contents

Preface

Introduction

Chapter I. The Axiomatic Approach

Chapter II. The Random Order Approach

Chapter III. The Asymptotic Approach

Chapter IV. Values and Derivatives

Chapter V. The Value and the Core

Chapter VI. An Application to Economic Equilibrium

Chapter VII. The Diagonal Property

Chapter VIII. Removal of the Standardness Assumption

Appendix A. Finite Games and Their Values

Appendix B. e-Monotonicity

Appendix C. The Mixing Value of Absolutely Continuous Set Functions

References

Index of Special Spaces and Sets

Index

Backmatter

Notes:

Bibliographic Level Mode of Issuance: Monograph

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

Description based on print version record.

Includes bibliographical references and index.

ISBN:

0-691-64546-9

0-691-61846-1

1-4008-6708-8

OCLC:

979755926