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On the relation between preference reversal and strategy-proofness

Author

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  • Rao, K.P.S. Bhaskara
  • Basile, Achille
  • Rao, Surekha

Abstract

We analyze the relation between strategy-proofness and preference reversal in the case that agents may declare indifference. Interestingly, Berga and Moreno (2020) have recently derived preference reversal from group strategy-proofness of social choice functions on strict preferences domains if the range has no more than three elements. We extend this result and, at the same time, present a simple argument for proving it. Our analysis points out the role of individual strategy-proofness in deriving the preference reversal property, giving back to the latter its original individual nature (cfr. Eliaz, 2004). Finally, we show that group strategy-proofness is needed to obtain preference reversal if there are infinitely many voters.

Suggested Citation

  • Rao, K.P.S. Bhaskara & Basile, Achille & Rao, Surekha, 2021. "On the relation between preference reversal and strategy-proofness," Economics Letters, Elsevier, vol. 206(C).
    • Handle: RePEc:eee:ecolet:v:206:y:2021:i:c:s016517652100269x
    DOI: 10.1016/j.econlet.2021.109992
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    References listed on IDEAS

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    1. Barberà, Salvador & Berga, Dolors & Moreno, Bernardo, 2010. "Individual versus group strategy-proofness: When do they coincide?," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1648-1674, September.
    2. Berga, Dolors & Moreno, Bernardo, 2020. "Preference reversal and group strategy-proofness," Economics Letters, Elsevier, vol. 196(C).
    3. Michel Breton & Vera Zaporozhets, 2009. "On the equivalence of coalitional and individual strategy-proofness properties," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 287-309, August.
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    Cited by:

    1. Bhaskara Rao, K.P.S. & Basile, Achille & Rao, Surekha, 2021. "Preference reversal and strategy-proofness with more than three alternatives," Economics Letters, Elsevier, vol. 208(C).

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    More about this item

    Keywords

    Social choice function; Preference reversal; Strategy-proofness;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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