The mathematics of decisions, elections, and games / / Karl-Dieter Crisman, Michael A. Jones, editors

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 2014; ©2014
• Descrizione fisica: 1 online resource (229 p.)
• Disciplina: 519.3
• Soggetto topico: Game theory; Statistical decision; Probabilities
• Classificazione: 91-0691A0591A1291A2091B0691B0891B1291B1491B3291F10
• Persona (resp. second.): CrismanKarl-Dieter <1975->; JonesMichael A. <1967->
• Note generali: "AMS Special Sessions on The Mathematics of Decisions, Elections, and Games, January 4, 2012, Boston, MA, Janaury 11-12, 2013, San Diego, CA."--Cover.
• Nota di bibliografia: Includes bibliographical references at the end of each chapters.
• Nota di contenuto: ""Preface""; ""Redistricting and district compactness""; ""1. Introduction: Redistricting and Gerrymandering""; ""2. Measuring Compactness""; ""3. Criteria for Compactness Measures and Discussion""; ""References""; ""Fair division and redistricting""; ""1. Introduction""; ""2. Fair Division""; ""3. Redistricting: the problem of partisan unfairness""; ""4. What is a partyâ€?s fair share?""; ""5. The ranking protocol""; ""6. The fair division redistricting protocol""; ""7. Conclusion""; ""References""; ""When does approval voting make the “right choicesâ€??""; ""1. Introduction"" ; ""2. Judging Multiple Proposals""""3. State Dependence""; ""4. Proposal Dependence""; ""5. Other Kinds of Dependence""; ""6. Follow-the-Leader""; ""7. Applications to Politics""; ""8. Relationship to the Condorcet Jury Theorem (CJT)""; ""9. Conclusions""; ""References""; ""How indeterminate is sequential majority voting? A judgement aggregation perspective""; ""1. Introduction""; ""2. Preliminaries""; ""3. Global indeterminacy""; ""4. Full indeterminacy""; ""5. Generalized Antichains""; ""6. Condorcet entropy and almost full indeterminacy""; ""Conclusion""; ""Appendix: Proofs"" ; ""References""""Weighted voting, threshold functions, and zonotopes""; ""1. Introduction""; ""2. Hyperplane arrangements and zonotopes""; ""3. The derived zonotope""; ""4. Conclusions and future work""; ""5. Acknowledgments""; ""References""; ""The Borda Count, the Kemeny Rule, and the Permutahedron""; ""1. Introduction""; ""2. Social Choice and Symmetry""; ""3. Decompositions and Voting""; ""4. Representations""; ""5. Theorems and the Borda-Kemeny Spectrum""; ""6. Looking Forward""; ""7. Appendix""; ""References""; ""Double-interval societies""; ""1. Introduction"" ; ""2. Double- String Societies""""3. Asymptotic approval ratios for double- string societies""; ""4. A double-interval society lower bound""; ""5. Modifying double- string societies""; ""6. Conclusion and Open Questions""; ""References""; ""Voting for committees in agreeable societies""; ""1. Introduction""; ""2. Definitions""; ""3. Votes Within a Ball""; ""4. Concentric Voter Distributions""; ""5. Main Theorem""; ""6. Extensions""; ""References""; ""Selecting diverse committees with candidates from multiple categories""; ""1. Introduction""; ""2. Basic framework"" ; ""4. A Dynamic Approach to Solving the Bankruptcy Problem""
• Titolo autorizzato: The mathematics of decisions, elections, and games
• ISBN: 1-4704-1930-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788257803321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society) ; ; 624.