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What happens when majority rule breaks down?

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  • Colin Bell

Abstract

Computational results of Niemi and Weisberg are extended to investigate the number of alternatives in the top cycle set (possible winning alternatives in a sequence of pairwise votes) when there is no Condorcet winner. With n alternatives we assume a large number of voters each equally likely to select any of the n! preference orderings. If no Condorcet winner exists, the number of members of the top cycle set is always more likely to be n or n−1 than between 3 and n−2 inclusive. As n grows the probability that all alternatives are in the top cycle set approaches 1. Copyright Martinus Nijhoff Social Sciences Division 1978

Suggested Citation

  • Colin Bell, 1978. "What happens when majority rule breaks down?," Public Choice, Springer, vol. 33(2), pages 121-126, September.
    • Handle: RePEc:kap:pubcho:v:33:y:1978:i:2:p:121-126
    DOI: 10.1007/BF00118362
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    References listed on IDEAS

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    1. McKelvey, Richard D., 1976. "Intransitivities in multidimensional voting models and some implications for agenda control," Journal of Economic Theory, Elsevier, vol. 12(3), pages 472-482, June.
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    Cited by:

    1. Scott Feld & Bernard Grofman, 1986. "Research note Partial single-peakedness: An extension and clarification," Public Choice, Springer, vol. 51(1), pages 71-80, January.

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