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Axiomatic Characterizations of Voting Operators

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  • Lahiri Somdeb

Abstract

In this paper we provide a model for the analysis of the electoral process. We prove some theorems in this paper, which characterize some voting operators. Apart form other well-known voting operators existing in the literature, we also provide an axiomatic characterization of the first past the post voting rule. In a final section, we take up the problem of a rationalizable voting operators. It is observed that except in the trivial case where every feasible alternative that is voted for by somebody, is chosen, no other voting operator is rationalizable. However, we are able to offer a necessary and sufficient condition for voting operators, to always select the best elements from the feasible set, according to a reflexive, complete and transitive binary relations.

Suggested Citation

  • Lahiri Somdeb, 1999. "Axiomatic Characterizations of Voting Operators," IIMA Working Papers WP1999-11-03, Indian Institute of Management Ahmedabad, Research and Publication Department.
    • Handle: RePEc:iim:iimawp:wp01640
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    1. Aleskerov, Fuad, 1995. "Locality in Voting Models," Mathematical Social Sciences, Elsevier, vol. 30(3), pages 320-321, December.
    2. Sen, Amartya K, 1977. "Social Choice Theory: A Re-examination," Econometrica, Econometric Society, vol. 45(1), pages 53-89, January.
    3. Aizerman, M. A. & Aleskerov, F. T., 1986. "Voting operators in the space of choice functions," Mathematical Social Sciences, Elsevier, vol. 11(3), pages 201-242, June.
    4. Donald J. Brown, 1975. "Aggregation of Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 89(3), pages 456-469.
    5. Deb, Rajat, 1983. "Binariness and rational choice," Mathematical Social Sciences, Elsevier, vol. 5(1), pages 97-105, August.
    6. Stefanescu, Anton, 1997. "Impossibility results for choice correspondences," Mathematical Social Sciences, Elsevier, vol. 33(2), pages 129-148, April.
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    Cited by:

    1. Murat Çengelci & M. Sanver, 2010. "Simple Collective Identity Functions," Theory and Decision, Springer, vol. 68(4), pages 417-443, April.
    2. Quesada, Antonio, 2005. "Selling a vote," European Journal of Political Economy, Elsevier, vol. 21(1), pages 73-82, March.
    3. Stefanescu, Anton & Ferrara, Massimiliano, 2006. "Implementation of voting operators," Journal of Mathematical Economics, Elsevier, vol. 42(3), pages 315-324, June.

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