Fair division: from cake-cutting to dispute resolution
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge Univsity Press
1996
|
| Ausgabe: | Frist published |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007120987&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XIV, 272 Seiten Illustrationen |
| ISBN: | 0521553903 0521556449 |
Internformat
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| 520 | 1 | |a "Cutting a cake, dividing up the property in an estate, determining the borders in an international dispute - such problems of fair division are ubiquitous." "Fair division treats all these problems and many more through a rigorous analysis of a variety of procedures for allocating goods (or "bads" like chores), or deciding who wins on what issues, when there are disputes. Starting with an analysis of the well-known cake-cutting procedure, "I cut, you choose," the authors show how it has been adapted in a number of fields and then analyze fair-division procedures applicable to situations in which there are more than two parties, or there is more than one good to be divided. In particular, they focus on procedures which provide "envy-free" allocations, in which everybody thinks he or she has received the largest portion and hence does not envy anybody else. They also discuss the fairness of different auction and election procedures."--BOOK JACKET. | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents List offigures List of tables Acknowledgments page xii xiii xiv Introduction 1 1 1.1 1.2 1.3 1.4 1.5 Proportionality for n - 2 Biblical origins Divide-and-choose and applications Filter-and-choose and applications The role of information Austin’s moving-knife procedure and applications 6 6 8 12 16 22 2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 Proportionality for n 2: the divisible case Introduction The Steinhaus-Kuhn lone-divider procedure The Banach-Knaster last-diminisher procedure The Dubins-Spanier moving-knife procedure Applications of last-diminisher and its moving-knife version The Fink lone-chooser procedure Woodall’s and Austin’s extensions of Fink’s procedure Efficiency, entitlements, and chores 30 30 31 35 36 38 40 41 44 3 3.1 3.2 3.3 3.4 Proportionality for n 2: the indivisible case Introduction Knaster’s procedure of sealed bids Lucas’ method of markers Efficiency and entitlements 51 51 52 57 62 IX
x Contents 4 4.1 4.2 4.3 4.4 4.5 4.6 4.7 Envy-freeness and equitability for n = 2 Introduction Bargaining and fair division The Adjusted-Winner (AW) procedure The Proportional-Allocation (PA) procedure The combined procedure Three or more players Conclusions Appendix 65 65 66 68 75 78 80 83 85 5 5.1 5.2 5.3 5.4 5.5 5.6 Applications of the point-allocation procedures Introduction The Panama Canal treaty negotiations A hypothetical divorce settlement A real divorce settlement AW versus Knaster’s procedure Conclusions 95 95 95 98 102 108 113 6 6.1 6.2 6.3 6.4 6.5 6.6 6.7 Envy-free procedures for n = 3 and n = 4 Introduction The Selfridge-Conway discrete procedure The Stromquist moving-knife procedure The Levmore-Cook moving-knife procedure The Webb moving-knife procedure Two other moving-knife procedures for n = 3 A four-person moving-knife procedure 115 115 116 120 122 124 125 126 7 7.1 7.2 7.3 7.4 7.5 7.6 Envy-free procedures for arbitrary n Introduction Two approximate procedures An infinite procedure A finite procedure Applying the trimming procedure to indivisible goods Efficiency, entitlements, and chores Appendix 129 129 130 133 138 143 148 156 8 8.1 8.2 8.3 8.4 Divide-the-dollar Introduction DD1: a reasonable payoff scheme DD2: adding a second stage DD3: combining DD1 and DD2 158 158 160 163 168
Contents 8.5 The solutions with entitlements 8.6 Conclusions Appendix 9 9.1 9.2 9.3 9.4 9.5 9.6 10 10.1 10.2 10.3 10.4 10.5 10.6 10.7 10.8 10.9 xi 170 173 174 Fair division by auctions Introduction Two-stage auctions Two-stage auctions: the private-value case One-stage common-value auctions: the winner’s curse Two-stage auctions: the common-value case Conclusions Appendix 178 178 181 183 188 191 198 201 Fair division by elections Introduction The Hare system of single transferable vote (STV) The Borda count Cumulative voting Additional-member systems Controlled roundings Further narrowing: the search may be futile Constrained approval voting (CAV) Conclusions 204 204 206 209 212 213 216 219 225 228 11 Conclusions 231 Glossary Bibliography Index 237 248 264
|
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| author | Brams, Steven J. 1940- Taylor, Alan D. 1947- |
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| discipline | Soziologie Politologie Mathematik Wirtschaftswissenschaften |
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| indexdate | 2024-12-20T09:58:39Z |
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| language | English |
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| physical | XIV, 272 Seiten Illustrationen |
| publishDate | 1996 |
| publishDateSearch | 1996 |
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| spellingShingle | Brams, Steven J. 1940- Taylor, Alan D. 1947- Fair division from cake-cutting to dispute resolution Conflictmanagement gtt Conflitos do trabalho (mediacao) larpcal Conflitos do trabalho (solucoes) larpcal Distributieve rechtvaardigheid gtt Gestion des conflits Impartialité Jeux, Théorie des Négociations Speltheorie gtt Teoria dos jogos larpcal Conflict management Fairness Game theory Negotiation Spieltheorie (DE-588)4056243-8 gnd Konfliktregelung (DE-588)4164958-8 gnd Teilung (DE-588)4200719-7 gnd |
| subject_GND | (DE-588)4056243-8 (DE-588)4164958-8 (DE-588)4200719-7 |
| title | Fair division from cake-cutting to dispute resolution |
| title_auth | Fair division from cake-cutting to dispute resolution |
| title_exact_search | Fair division from cake-cutting to dispute resolution |
| title_full | Fair division from cake-cutting to dispute resolution Steven J. Brams and Alan D. Taylor |
| title_fullStr | Fair division from cake-cutting to dispute resolution Steven J. Brams and Alan D. Taylor |
| title_full_unstemmed | Fair division from cake-cutting to dispute resolution Steven J. Brams and Alan D. Taylor |
| title_short | Fair division |
| title_sort | fair division from cake cutting to dispute resolution |
| title_sub | from cake-cutting to dispute resolution |
| topic | Conflictmanagement gtt Conflitos do trabalho (mediacao) larpcal Conflitos do trabalho (solucoes) larpcal Distributieve rechtvaardigheid gtt Gestion des conflits Impartialité Jeux, Théorie des Négociations Speltheorie gtt Teoria dos jogos larpcal Conflict management Fairness Game theory Negotiation Spieltheorie (DE-588)4056243-8 gnd Konfliktregelung (DE-588)4164958-8 gnd Teilung (DE-588)4200719-7 gnd |
| topic_facet | Conflictmanagement Conflitos do trabalho (mediacao) Conflitos do trabalho (solucoes) Distributieve rechtvaardigheid Gestion des conflits Impartialité Jeux, Théorie des Négociations Speltheorie Teoria dos jogos Conflict management Fairness Game theory Negotiation Spieltheorie Konfliktregelung Teilung |
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