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A characterization of dictatorial social choice correspondences with continuous preferences

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  • Yao, Haixiang
  • Yi, Jianxin

Abstract

In this paper, under the assumption that all preferences are continuous and have unique top-ranked alternatives, we establish the equivalence between strict monotonicity and dictatorship for social choice correspondences.

Suggested Citation

  • Yao, Haixiang & Yi, Jianxin, 2008. "A characterization of dictatorial social choice correspondences with continuous preferences," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 299-304, May.
    • Handle: RePEc:eee:matsoc:v:55:y:2008:i:3:p:299-304
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    References listed on IDEAS

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    1. Saijo, Tatsuyoshi, 1987. "On constant maskin monotonic social choice functions," Journal of Economic Theory, Elsevier, vol. 42(2), pages 382-386, August.
    2. Campbell, Donald E. & Kelly, Jerry S., 1996. "Continuous-valued social choice," Journal of Mathematical Economics, Elsevier, vol. 25(2), pages 195-211.
    3. Denicolo, Vincenzo, 1985. "Independent social choice correspondences are dictatorial," Economics Letters, Elsevier, vol. 19(1), pages 9-12.
    4. Lin Zhou & Stephen Ching, 2002. "Multi-valued strategy-proof social choice rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 569-580.
    5. 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.
    6. 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.
    7. Le Breton, Michel & Weymark, John A., 1999. "Strategy-proof social choice with continuous separable preferences," Journal of Mathematical Economics, Elsevier, vol. 32(1), pages 47-85, August.
    8. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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