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Impossibilities with Kemeny updating

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  • Can, Burak
  • Storcken, Ton

Abstract

Impossibility theorems for preference correspondences based on a new monotonicity concept are discussed. Here monotonicity means that if preferences update in such a way that they get closer to an outcome then at the new situation this outcome remains chosen. Strong monotonicity requires further that in those cases the outcome at the new profile is a subset of the outcome at the old profile. It is shown that only dictatorial preference correspondences are unanimous and strongly monotone.

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Bibliographic Info

Article provided by Elsevier in its journal Economics Letters.

Volume (Year): 116 (2012)
Issue (Month): 2 ()
Pages: 229-231

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Handle: RePEc:eee:ecolet:v:116:y:2012:i:2:p:229-231

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Web page: http://www.elsevier.com/locate/ecolet

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Keywords: Kemeny distance; Update monotonicity; Preferences; Aggregation;

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  1. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
  2. Muller, Eitan & Satterthwaite, Mark A., 1977. "The equivalence of strong positive association and strategy-proofness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 412-418, April.
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Cited by:
  1. Can, Burak & Storcken, Ton, 2013. "Update monotone preference rules," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 136-149.

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