A Class of Dissimilarity Semimetrics for Preference Relations
Published Online:31 Oct 2023https://doi.org/10.1287/moor.2022.0351
References
- [1] (1962) Utility theory without the completeness axiom. Econometrica 30(3):445–462.Crossref, Google Scholar
- [2] (2013) Assent-maximizing social choice. Soc. Choice Welfare 40:439–460.Crossref, Google Scholar
- [3] (2021) Is the preference of the majority representative? Math. Social Sci. 114:87–94.Crossref, Google Scholar
- [4] (1976) A linear assignment formulation of the multiattribute decision problem. Revue Francaise d’automatique Informatique Recherche Operationnelle 10:21–32.Crossref, Google Scholar
- [5] (1973) Preference structures I: Distances between transitive preference relations. J. Math. Sociol. 3(1):49–67.Crossref, Google Scholar
- [6] (1975) Preference structures II: Distances between asymmetric relations. SIAM J. Appl. Math. 29(2):254–262.Crossref, Google Scholar
- [7] (1992) Strategy-proofness of social welfare functions: The use of the Kemeny distance between preference orderings. Soc. Choice Welfare 9(4):345–360.Crossref, Google Scholar
- [8] (2014) Weighted distances between preferences. J. Math. Econom. 51:109–115.Crossref, Google Scholar
- [9] (2012) Finite Ordered Sets (Cambridge University Press, Cambridge, UK).Crossref, Google Scholar
- [10] (2006) Distance-based and ad hoc consensus models in ordinal preference ranking. Eur. J. Oper. Res. 172(2):369–385.Crossref, Google Scholar
- [11] (1978) Priority ranking and consensus formation. Management Sci. 24(16):1721–1732.Link, Google Scholar
- [12] (2008) Weakened WARP and top-cycle choice rules. J. Math. Econom. 44(1):87–94.Crossref, Google Scholar
- [13] (2006) Indifference or indecisiveness? Choice theoretic foundations of incomplete preferences. Games Econom. Behav. 56(1):61–86.Crossref, Google Scholar
- [14] (2014) An axiomatic approach to constructing distances for rank comparisons and aggregation. IEEE Trans. Inform. Theory 60(10):6417–6439.Crossref, Google Scholar
- [15] (1973) Semiorders of the theory of choice. Econometrica 41(5):901–912.Crossref, Google Scholar
- [16] (1962) Preference Ranking: An Axiomatic Approach (Mathematical Models in the Social Sciences, Ginn, NY), 9–23.Google Scholar
- [17] (2008) A distance measure for choice functions. Soc. Choice Welfare 30(3):419–425.Crossref, Google Scholar
- [18] (1975) Asymmetric enumeration of partial orders on a finite set. Trans. Amer. Math. Soc. 205:205–220.Crossref, Google Scholar
- [19] (2017) Regular preorders and behavioral indifference. Theory Decision 82:1–12.Crossref, Google Scholar
- [20] (2016) Ordered Sets, 2nd ed. (Birkhäuser, Cham, Switzerland).Google Scholar
- [21] (1971) Choice functions and revealed preference. Rev. Econom. Stud. 38(3):307–317.Crossref, Google Scholar

