LEADER 04446nam 2200637 450 001 9910820223103321 005 20180731043601.0 010 $a1-4704-1930-0 035 $a(CKB)3150000000020206 035 $a(EBL)3114301 035 $a(SSID)ssj0001352537 035 $a(PQKBManifestationID)11899103 035 $a(PQKBTitleCode)TC0001352537 035 $a(PQKBWorkID)11309937 035 $a(PQKB)11321568 035 $a(MiAaPQ)EBC3114301 035 $a(RPAM)18046760 035 $a(PPN)197102670 035 $a(EXLCZ)993150000000020206 100 $a20150416h20142014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 04$aThe mathematics of decisions, elections, and games /$fKarl-Dieter Crisman, Michael A. Jones, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2014. 210 4$dİ2014 215 $a1 online resource (229 p.) 225 1 $aContemporary Mathematics,$x1098-3627 ;$v624 300 $a"AMS Special Sessions on The Mathematics of Decisions, Elections, and Games, January 4, 2012, Boston, MA, Janaury 11-12, 2013, San Diego, CA."--Cover. 311 $a0-8218-9866-3 320 $aIncludes bibliographical references at the end of each chapters. 327 $a""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 partya???s fair share?""; ""5. The ranking protocol""; ""6. The fair division redistricting protocol""; ""7. Conclusion""; ""References""; ""When does approval voting make the a???right choicesa????""; ""1. Introduction"" 327 $a""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"" 327 $a""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"" 327 $a""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"" 327 $a""4. A Dynamic Approach to Solving the Bankruptcy Problem"" 410 0$aContemporary mathematics (American Mathematical Society) ;$v624. 606 $aGame theory 606 $aStatistical decision 606 $aProbabilities 615 0$aGame theory. 615 0$aStatistical decision. 615 0$aProbabilities. 676 $a519.3 686 $a91-06$a91A05$a91A12$a91A20$a91B06$a91B08$a91B12$a91B14$a91B32$a91F10$2msc 702 $aCrisman$b Karl-Dieter$f1975- 702 $aJones$b Michael A.$f1967- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910820223103321 996 $aThe mathematics of decisions, elections, and games$94097422 997 $aUNINA