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Maskin-monotonic scoring rules

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  • Battal Doğan
  • Semih Koray

Abstract

We characterize which scoring rules are Maskin-monotonic for each social choice problem as a function of the number of agents and the number of alternatives. We show that a scoring rule is Maskin-monotonic if and only if it satisfies a certain unanimity condition. Since scoring rules are neutral, Maskin-monotonicity turns out to be equivalent to Nash-implementability within the class of scoring rules. We propose a class of mechanisms such that each Nash-implementable scoring rule can be implemented via a mechanism in that class. Moreover, we investigate the class of generalized scoring rules and show that with a restriction on score vectors, our results for the standard case are still valid. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Battal Doğan & Semih Koray, 2015. "Maskin-monotonic scoring rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 423-432, February.
    • Handle: RePEc:spr:sochwe:v:44:y:2015:i:2:p:423-432
    DOI: 10.1007/s00355-014-0835-6
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    References listed on IDEAS

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    1. Clemens Puppe & Attila Tasnádi, 2008. "Nash implementable domains for the Borda count," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(3), pages 367-392, October.
    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.
    3. Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
    4. Orhan Erdem & M. Sanver, 2005. "Minimal monotonic extensions of scoring rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(1), pages 31-42, October.
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    Cited by:

    1. Burak Can & Mohsen Pourpouneh & Ton Storcken, 2022. "An axiomatic re-characterization of the Kemeny rule," Review of Economic Design, Springer;Society for Economic Design, vol. 26(3), pages 447-467, September.
    2. Diss, Mostapha & Doghmi, Ahmed & Tlidi, Abdelmonaim, 2015. "Strategy proofness and unanimity in private good economies with single-peaked preferences," MPRA Paper 75469, University Library of Munich, Germany, revised 06 Dec 2016.
    3. Mehmet Barlo & Nuh Aygün Dalkıran, 2022. "Computational implementation," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 605-633, December.

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