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A note on choosing the alternative with the best median evaluation

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  • Jean-François Laslier

    (X-DEP-ECO - Département d'Économie de l'École Polytechnique - X - École polytechnique)

Abstract

The voting rule proposed by Basset and Persky (Public Choice 99: 299-310) picks the alternative with best median evaluation. The present note shows that this MaxMed principle is equivalent to ask the social planner to apply the MaxMin principle allowing him to discard half of the population. In one-dimensional, single-peaked domains, the paper compares this rule with majority rule and the utilitarian criterion. The MaxMed outcome is rejected by a majority of voters in favor of outcomes which are also utilitarian improvements.

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  • Jean-François Laslier, 2010. "A note on choosing the alternative with the best median evaluation," Working Papers hal-00397403, HAL.
    • Handle: RePEc:hal:wpaper:hal-00397403
    Note: View the original document on HAL open archive server: https://hal.science/hal-00397403v2
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    Cited by:

    1. Jean-François Laslier, 2012. "On choosing the alternative with the best median evaluation," Public Choice, Springer, vol. 153(3), pages 269-277, December.
    2. Ngoie, Ruffin-Benoît M. & Savadogo, Zoïnabo & Ulungu, Berthold E.-L., 2014. "Median and average as tools for measuring, electing and ranking: new prospects," MPRA Paper 64731, University Library of Munich, Germany, revised 01 Sep 2014.
    3. Ngoie, Ruffin-Benoît M. & Savadogo, Zoïnabo & Ulungu, Berthold E.-L., 2014. "New prospects in social choice theory: median and average as tools for measuring, electing and ranking," MPRA Paper 64155, University Library of Munich, Germany, revised 01 Dec 2014.
    4. Jean-François Laslier, 2011. "And the loser is... Plurality Voting," Working Papers hal-00609810, HAL.

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