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An Assessment of Voting System Simulations

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  • Nurmi, Hannu

Abstract

In applying the results of the social choice theory to voting procedures, the question arises as to how often the various anomalies can be expected to occur. Computer simulations and probability modeling are common approaches to address this problem. This article is an attempt to find out the robustness of the so-called impartial culture assumption. For this purpose, a major perturbation of the impartial culture assumption is first considered and, thereafter, the author focuses on a few minor modifications of the assumption. Copyright 1992 by Kluwer Academic Publishers

Suggested Citation

  • Nurmi, Hannu, 1992. "An Assessment of Voting System Simulations," Public Choice, Springer, vol. 73(4), pages 459-487, June.
    • Handle: RePEc:kap:pubcho:v:73:y:1992:i:4:p:459-87
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    Cited by:

    1. Florenz Plassmann & T. Tideman, 2014. "How frequently do different voting rules encounter voting paradoxes in three-candidate elections?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(1), pages 31-75, January.
    2. Stensholt, Eivind, 1999. "Beta distributions in a simplex and impartial anonymous cultures," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 45-57, January.
    3. Lirong Xia, 2021. "Semi-Random Impossibilities of Condorcet Criterion," Papers 2107.06435, arXiv.org, revised Aug 2022.
    4. Mario Fedrizzi & Janusz Kacprzyk & Hannu Nurmi, 1996. "How different are social choice functions: a rough sets approach," Quality & Quantity: International Journal of Methodology, Springer, vol. 30(1), pages 87-99, February.
    5. Jack Stecher, 2008. "Existence of approximate social welfare," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(1), pages 43-56, January.
    6. Stefan Napel & Mika Widgrén, 2005. "The Possibility of a Preference-Based Power Index," Journal of Theoretical Politics, , vol. 17(3), pages 377-387, July.
    7. T. Tideman & Florenz Plassmann, 2014. "Which voting rule is most likely to choose the “best” candidate?," Public Choice, Springer, vol. 158(3), pages 331-357, March.
    8. Nurmi, Hannu & Kacprzyk, Janusz & Fedrizzi, Mario, 1996. "Probabilistic, fuzzy and rough concepts in social choice," European Journal of Operational Research, Elsevier, vol. 95(2), pages 264-277, December.
    9. Lirong Xia, 2021. "The Smoothed Satisfaction of Voting Axioms," Papers 2106.01947, arXiv.org.
    10. Brian Kogelmann, 2017. "Aggregating out of indeterminacy," Politics, Philosophy & Economics, , vol. 16(2), pages 210-232, May.

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