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Group Decision and Negotiation

Erschienen in:

11.03.2017

Preference Diversity Orderings

verfasst von: Alexander Karpov

Erschienen in: Group Decision and Negotiation | Ausgabe 4/2017

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Abstract

Applying new preference diversity axiomatics, a generalization of the Alcalde-Unzu and Vorsatz (Soc Choice Welf 41(4):965–988, 2013) criterion is developed. It is shown that all previously used indices violate this criterion. Two new indices (geometric mean-based and leximax-based) that satisfy a new criterion are developed. Leximax-based orders act as a polarization index and are compared to the polarization index of Can et al. (Math Soc Sci 78:76–79, 2015). New impossibility results are obtained.

Vorheriger Artikel Group Decision Methodology to Support Watershed Committees in Choosing Among Combinations of Alternatives

Nächster Artikel Symmetric Sequential Stability in the Graph Model for Conflict Resolution with Multiple Decision Makers

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\( \text { In this case, the preference profiles}\) \( \begin{array}{cccc} x&{}x&{}z &{}z \\ z&{}z&{}x &{}x \\ y&{}y&{}t &{}t \\ t&{}t&{}y &{}y\\ \end{array} , \;\; \begin{array}{cccc} x&{}x&{}z &{}z \\ z&{}z&{}x &{}x \\ y&{}t&{}y &{}t \\ t&{}y&{}t &{}y \\ \end{array} \text { remain equally diverse.}\)

Alcalde-Unzu J, Vorsatz M (2013) Measuring the cohesiveness of preferences: an axiomatic analysis. Soc Choice Welf 41(4):965–988CrossRef

Alcalde-Unzu J, Vorsatz M (2016) Do we agree? Measuring the cohesiveness of preferences. Theor Decis 80(2):313–339CrossRef

Alcantud JCR, de Andrés Calle R, Cascón JM (2015) Pairwise dichotomous cohesiveness measures. Group Decis Negot 24(5):833–854CrossRef

Bosch R (2006) Characterizations of voting rules and consensus measures. PhD dissertation, Tilburg University

Boudreau JW, Knoblauch V (2013) Preferences and the price of stability in matching markets. Theory Decis 74(4):565–589CrossRef

Bredereck R, Chen J, Woeginger GJ (2016) Are there any nicely structured preference profiles nearby? Math Soc Sci 79:61–73CrossRef

Bubboloni D, Gori M (2015) Symmetric majority rules. Math Soc Sci 76:73–86CrossRef

Can B (2014) Weighted distances between preferences. J Math Econ 51:109–115CrossRef

Can B, Ozkes AI, Storcken T (2015) Measuring polarization in preferences. Math Soc Sci 78:76–79CrossRef

Carron AV, Brawley LR (2000) Cohesion: conceptual and measurement issues. Small Group Res 31(1):89–106CrossRef

Celik, OB, Knoblauch V (2007) Marriage matching with correlated preferences. Working Paper 2007–16, University of Connecticut, Department of Economics

Cota AA, Evans CR, Dion KL, Kilik L, Stewart-Longman R (1995) The structure of group cohesion. Pers Soc Psychol B 21:572–580CrossRef

Fischer F, Hudry O, Niedermeier R (2016) Weighted tournament solutions. In: Brandt F, Conitzer V, Endriss U, Lang J, Procaccia AD (eds) Handbook of computational social choice. Chap 4. Cambridge University Press, Cambridge

Elkind E, Lackner M (2014) On detecting nearly structured preference profiles. In: Proceedings of the 28th AAAI conference on artificial intelligence (AAAI’14). AAAI Press, pp 661–667

Elkind E, Faliszewski P, Slinko A (2015) Distance rationalization of voting rules. Soc Choice Welf 45(2):345–377CrossRef

Erdéli G, Lackner M, Pfandler A (2013) Computational aspects of nearly singlepeaked electorates. In: Proceedings of the 27th AAAI conference on artificial intelligence (AAAI’13). AAAI Press, pp 283–289

Gehrlein WV, Lepelley D (2011) Voting paradoxes and group coherence: the condorcet efficiency of voting rules. Springer, BerlinCrossRef

Gehrlein WV, Lepelley D (2016) Refining measures of group mutual coherence. Qual Quant 50(4):1845–1870CrossRef

Gehrlein WV, Moyouwou I, Lepelley D (2013) The impact of voters’ preference diversity on the probability of some electoral outcomes. Math Soc Sci 66(3):352–365CrossRef

Hałaburda H (2010) Unravelling in two-sided matching markets and similarity of preferences. Game Econ Behav 69(2):365–393CrossRef

Hashemi V, Endriss U (2014) Measuring diversity of preferences in a group. Series frontiers in artificial intelligence and applications. Ebook Vol. 263: ECAI 2014, pp 423–428. doi:10.3233/978-1-61499-419-0-423

Lepelley D, Valognes F (2003) Voting rules, manipulability and social homogeneity. Public Choice 116(1):165–184CrossRef

Manea M (2009) Asymptotic ordinal inefficiency of random serial dictatorship. Theor Econ 4(2):165–197

Meskanen T, Nurmi H (2008) Closeness counts in social choice. In: Braham M, Steffen F (eds) Power, freedom, and voting. Chap. 15. Springer, Berlin, pp 289–306CrossRef

Nehring K, Puppe C (2002) A theory of diversity. Econometrica 70(3):1155–1198CrossRef

Nehring K, Puppe C (2009) Diversity. In: Anand P, Pattanaik P, Puppe C (eds) The handbook of rational and social choice. Chap 12. Oxford University Press, Oxford

Veselova Y (2016) The difference between manipulability indices in the IC and IANC models. Soc Choice Welf 46(3):609–638CrossRef

Titel: Preference Diversity Orderings
verfasst von: Alexander Karpov
Publikationsdatum: 11.03.2017
Verlag: Springer Netherlands
Erschienen in: Group Decision and Negotiation / Ausgabe 4/2017
Print ISSN: 0926-2644
Elektronische ISSN: 1572-9907
DOI: https://doi.org/10.1007/s10726-017-9532-z

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