Goswami, Mridu Prabal and Mitra, Manipushpak and Sen, Debapriya (2018): A characterization of lexicographic preferences.
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Abstract
This paper characterizes lexicographic preferences over alternatives that are identified by a finite number of attributes. We say two alternatives are 'totally different' if they are different with respect to every attribute. Our characterization is based on two key concepts: a weaker notion of continuity called 'mild continuity' (strict preference order between any two totally different alternatives is preserved around their small neighborhoods) and an 'unhappy set' (any alternative outside the set is preferred to all alternatives inside).
Item Type: | MPRA Paper |
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Original Title: | A characterization of lexicographic preferences |
Language: | English |
Keywords: | lexicographic preference; mild continuity; unhappy set; inclusion of marginally improved alternatives; preference nonreversibility |
Subjects: | C - Mathematical and Quantitative Methods > C0 - General > C00 - General D - Microeconomics > D0 - General > D01 - Microeconomic Behavior: Underlying Principles |
Item ID: | 100248 |
Depositing User: | Debapriya Sen |
Date Deposited: | 11 May 2020 08:49 |
Last Modified: | 11 May 2020 08:49 |
References: | Arrow, K.J., 1951. Social Choice and Individual Values. Wiley, New York (2nd ed., 1963). Bossert W., Pattanaik, P.K., Xu, Y. 1994. Ranking opportunity sets: An axiomatic approach. Journal of Economic Theory 63, 326-345. Fishburn, P.C. 1975. Axioms for lexicographic preferences. Review of Economic Studies 42, 415-419. Geanakoplos, J. 2005. Three brief proofs of Arrow's impossibility theorem. Economic Theory 26, 211-215. Mendelson, B. 1990. Introduction to Topology. Dover Publications (3rd ed.). Mitra, M., Sen, D. 2014. An alternative proof of Fishburn’s axiomatization of lexicographic preferences. Economics Letters 124, 168-170. Mitra, M., Sen, D. 2017. Subsistence, saturation and irrelevance in preferences. Working paper. Petri, H., Voorneveld, M. 2016. Characterizing lexicographic preferences. Journal of Mathematical Economics, 63, 54-61. Rudin, W. 1976. Principles of Mathematical Analysis. McGraw-Hill Inc. Tversky, A. 1972. Elimination by aspects: A theory of choice. Psychological Review 79, 281-299. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/100248 |
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A characterization of lexicographic preferences. (deposited 16 Dec 2018 03:46)
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