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Paradox of voting under an urn model: The effect of homogeneity

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  • Sven Berg

Abstract

We propose a simple Pólya-variety urn model for calculating paradox-of-voting probabilities. The model contains a homogeneity parameter, and for specific values of this parameter the model reduces to cases previously discussed in the literature. We derive a Dirichlet family of distributions for describing the assignment of preference profiles in large committees, and we show how the homogeneity parameter relates to measures of similarity among voters, suggested in prior studies. Copyright Martinus Nijhoff Publishers 1985

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  • Sven Berg, 1985. "Paradox of voting under an urn model: The effect of homogeneity," Public Choice, Springer, vol. 47(2), pages 377-387, January.
    • Handle: RePEc:kap:pubcho:v:47:y:1985:i:2:p:377-387
    DOI: 10.1007/BF00127533
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    References listed on IDEAS

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    1. R. Abrams, 1976. "The voter's paradox and the homogeneity of individual preference orders," Public Choice, Springer, vol. 26(1), pages 19-27, June.
    2. Sven Berg & Bo Bjurulf, 1983. "A note on the paradox of voting: Anonymous preference profiles and May's formula," Public Choice, Springer, vol. 40(3), pages 307-316, January.
    3. William Gehrlein & Peter Fishburn, 1976. "Condorcet's paradox and anonymous preference profiles," Public Choice, Springer, vol. 26(1), pages 1-18, June.
    4. DeMeyer, Frank & Plott, Charles R, 1970. "The Probability of a Cyclical Majority," Econometrica, Econometric Society, vol. 38(2), pages 345-354, March.
    5. Gehrlein, William V., 1981. "The expected probability of Condorcet's paradox," Economics Letters, Elsevier, vol. 7(1), pages 33-37.
    6. Kuga, Kiyoshi & Nagatani, Hiroaki, 1974. "Voter Antagonism and the Paradox of Voting," Econometrica, Econometric Society, vol. 42(6), pages 1045-1067, November.
    7. Jamison, Dean & Luce, Edward, 1972. "Social homogeneity and the probability of intransitive majority rule," Journal of Economic Theory, Elsevier, vol. 5(1), pages 79-87, August.
    8. Niemi, Richard G., 1969. "Majority Decision-Making with Partial Unidimensionality," American Political Science Review, Cambridge University Press, vol. 63(2), pages 488-497, June.
    9. Peter Fishburn & William Gehrlein, 1980. "Social homogeneity and Condorcet's paradox," Public Choice, Springer, vol. 35(4), pages 403-419, January.
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