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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.

Suggested Citation

  • Can, Burak & Storcken, Ton, 2012. "Impossibilities with Kemeny updating," Economics Letters, Elsevier, vol. 116(2), pages 229-231.
  • Handle: RePEc:eee:ecolet:v:116:y:2012:i:2:p:229-231
    DOI: 10.1016/j.econlet.2012.03.001
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    References listed on IDEAS

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    1. 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.
    2. 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.
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    Cited by:

    1. Uuganbaatar Ninjbat, 2015. "Impossibility theorems are modified and unified," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 849-866, December.
    2. Can, Burak & Storcken, Ton, 2013. "Update monotone preference rules," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 136-149.

    More about this item

    Keywords

    Kemeny distance; Update monotonicity; Preferences; Aggregation;

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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