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

Listed author(s):
  • Sven Berg
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    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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    Article provided by Springer in its journal Public Choice.

    Volume (Year): 47 (1985)
    Issue (Month): 2 (January)
    Pages: 377-387

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    Handle: RePEc:kap:pubcho:v:47:y:1985:i:2:p:377-387
    DOI: 10.1007/BF00127533
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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. Kuga, Kiyoshi & Nagatani, Hiroaki, 1974. "Voter Antagonism and the Paradox of Voting," Econometrica, Econometric Society, vol. 42(6), pages 1045-1067, November.
    5. 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.
    6. repec:cup:apsrev:v:63:y:1969:i:02:p:488-497_26 is not listed on IDEAS
    7. DeMeyer, Frank & Plott, Charles R, 1970. "The Probability of a Cyclical Majority," Econometrica, Econometric Society, vol. 38(2), pages 345-354, March.
    8. Gehrlein, William V., 1981. "The expected probability of Condorcet's paradox," Economics Letters, Elsevier, vol. 7(1), pages 33-37.
    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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