Values of non-atomic games /:
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...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, New Jersey :
Princeton University Press,
1974.
|
| Schriftenreihe: | Princeton legacy library.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (348 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781400867080 1400867088 |
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| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface -- |t Introduction -- |t Chapter I. The Axiomatic Approach -- |t Chapter II. The Random Order Approach -- |t Chapter III. The Asymptotic Approach -- |t Chapter IV. Values and Derivatives -- |t Chapter V. The Value and the Core -- |t Chapter VI. An Application to Economic Equilibrium -- |t Chapter VII. The Diagonal Property -- |t Chapter VIII. Removal of the Standardness Assumption -- |t Appendix A. Finite Games and Their Values -- |t Appendix B. e-Monotonicity -- |t Appendix C. The Mixing Value of Absolutely Continuous Set Functions -- |t References -- |t Index of Special Spaces and Sets -- |t Index -- |t Backmatter |
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| author | Aumann, Robert J. Shapley, Lloyd S., 1923-2016 |
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| 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 |
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| id | ZDB-4-EBA-ocn905862778 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:26:32Z |
| institution | BVB |
| isbn | 9781400867080 1400867088 |
| language | English |
| oclc_num | 905862778 |
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| physical | 1 online resource (348 pages) |
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| spelling | Aumann, Robert J., author. Values of non-atomic games / Robert J. Aumann, Lloyd S. Shapley. Princeton, New Jersey : Princeton University Press, 1974. ©1974 1 online resource (348 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Princeton Legacy Library Includes bibliographical references and index. Print version record. 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 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. Game theory. http://id.loc.gov/authorities/subjects/sh85052941 Théorie des jeux. MATHEMATICS Game Theory. bisacsh MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Game theory fast Shapley, Lloyd S., 1923-2016, author. https://id.oclc.org/worldcat/entity/E39PBJgX7CBgx33qCfvjgPq84q Print version: Aumann, Robert J. Values of non-atomic games. Princeton, New Jersey : Princeton University Press, ©1974 xi, 333 pages Princeton legacy library. 9780691618463 Princeton legacy library. http://id.loc.gov/authorities/names/no2014116408 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=946604 Volltext |
| spellingShingle | Aumann, Robert J. Shapley, Lloyd S., 1923-2016 Values of non-atomic games / Princeton legacy library. 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 Game theory. http://id.loc.gov/authorities/subjects/sh85052941 Théorie des jeux. MATHEMATICS Game Theory. bisacsh MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Game theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85052941 |
| title | Values of non-atomic games / |
| title_alt | 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 |
| title_auth | Values of non-atomic games / |
| title_exact_search | Values of non-atomic games / |
| title_full | Values of non-atomic games / Robert J. Aumann, Lloyd S. Shapley. |
| title_fullStr | Values of non-atomic games / Robert J. Aumann, Lloyd S. Shapley. |
| title_full_unstemmed | Values of non-atomic games / Robert J. Aumann, Lloyd S. Shapley. |
| title_short | Values of non-atomic games / |
| title_sort | values of non atomic games |
| topic | Game theory. http://id.loc.gov/authorities/subjects/sh85052941 Théorie des jeux. MATHEMATICS Game Theory. bisacsh MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Game theory fast |
| topic_facet | Game theory. Théorie des jeux. MATHEMATICS Game Theory. MATHEMATICS Applied. MATHEMATICS Probability & Statistics General. Game theory |
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