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Condorcet's paradox and the likelihood of its occurrence: different perspectives on balanced preferences

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  • William Gehrlein

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  • William Gehrlein, 2002. "Condorcet's paradox and the likelihood of its occurrence: different perspectives on balanced preferences ," Theory and Decision, Springer, vol. 52(2), pages 171-199, March.
    • Handle: RePEc:kap:theord:v:52:y:2002:i:2:p:171-199
    DOI: 10.1023/A:1015551010381
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    References listed on IDEAS

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    1. William Gehrlein & Peter Fishburn, 1976. "Condorcet's paradox and anonymous preference profiles," Public Choice, Springer, vol. 26(1), pages 1-18, June.
    2. van Deemen, Adrian M A & Vergunst, Noel P, 1998. "Empirical Evidence of Paradoxes of Voting in Dutch Elections," Public Choice, Springer, vol. 97(3), pages 475-490, December.
    3. Gehrlein, William V., 2001. "Condorcet winners on four candidates with anonymous voters," Economics Letters, Elsevier, vol. 71(3), pages 335-340, 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. Stensholt, Eivind, 1999. "Beta distributions in a simplex and impartial anonymous cultures," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 45-57, January.
    6. Sven Berg, 1985. "Paradox of voting under an urn model: The effect of homogeneity," Public Choice, Springer, vol. 47(2), pages 377-387, January.
    7. Riker, William H., 1958. "The Paradox of Voting and Congressional Rules for Voting on Amendments," American Political Science Review, Cambridge University Press, vol. 52(2), pages 349-366, June.
    8. Kurrild-Klitgaard, Peter, 2001. "An Empirical Example of the Condorcet Paradox of Voting in a Large Electorate," Public Choice, Springer, vol. 107(1-2), pages 135-145, April.
    9. Fishburn, Peter C. & Gehrlein, William V. & Maskin, Eric, 1979. "A progress report on Kelly's majority conjectures," Economics Letters, Elsevier, vol. 2(4), pages 313-314.
    10. Kenneth J. Arrow & Herve Raynaud, 1986. "Social Choice and Multicriterion Decision-Making," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262511754, April.
    11. Gehrlein, William V. & Lepelley, Dominique, 1997. "Condorcet's paradox under the maximal culture condition," Economics Letters, Elsevier, vol. 55(1), pages 85-89, August.
    12. Kelly, Jerry S, 1974. "Voting Anomalies, the Number of Voters, and the Number of Alternatives," Econometrica, Econometric Society, vol. 42(2), pages 239-251, March.
    13. Gehrlein, William V., 1981. "The expected probability of Condorcet's paradox," Economics Letters, Elsevier, vol. 7(1), pages 33-37.
    14. Rae, Douglas, 1980. "An Altimeter for Mr. Escher's Stairway: A Comment on William H. Riker's “Implications from the Disequilibrium of Majority Rule for the Study of Institutions”," American Political Science Review, Cambridge University Press, vol. 74(2), pages 451-455, June.
    15. Miller, Nicholas R., 1983. "Pluralism and Social Choice," American Political Science Review, Cambridge University Press, vol. 77(3), pages 734-747, September.
    16. Riker, William H., 1980. "Implications from the Disequilibrium of Majority Rule for the Study of Institutions," American Political Science Review, Cambridge University Press, vol. 74(2), pages 432-446, June.
    17. 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.
    18. Truchon, M., 1998. "Figure Skating and the Theory of Social Choice," Papers 9814, Laval - Recherche en Politique Economique.
    19. Riker, William H., 1961. "Voting and the Summation of Preferences: An interpretive Bibliographical Review of Selected Developments During the Last Decade," American Political Science Review, Cambridge University Press, vol. 55(4), pages 900-911, December.
    20. Gehrlein, William V. & Fishburn, Peter C., 1976. "The probability of the paradox of voting: A computable solution," Journal of Economic Theory, Elsevier, vol. 13(1), pages 14-25, August.
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    Cited by:

    1. Mostapha Diss & Vincent Merlin, 2010. "On the stability of a triplet of scoring rules," Theory and Decision, Springer, vol. 69(2), pages 289-316, August.
    2. Wilson, Mark C. & Pritchard, Geoffrey, 2007. "Probability calculations under the IAC hypothesis," Mathematical Social Sciences, Elsevier, vol. 54(3), pages 244-256, December.
    3. Lisa Sauermann, 2022. "On the probability of a Condorcet winner among a large number of alternatives," Papers 2203.13713, arXiv.org.
    4. Aki Lehtinen, 2007. "The Welfare Consequences of Strategic Voting in Two Commonly Used Parliamentary Agendas," Theory and Decision, Springer, vol. 63(1), pages 1-40, August.
    5. Harrie Swart, 2022. "How to Choose a President, Mayor, Chair: Balinski and Laraki Unpacked," The Mathematical Intelligencer, Springer, vol. 44(2), pages 99-107, June.
    6. Lehtinen, Aki, 2006. "Signal extraction for simulated games with a large number of players," Computational Statistics & Data Analysis, Elsevier, vol. 50(9), pages 2495-2507, May.
    7. Merlin, Vincent & Valognes, Fabrice, 2004. "The impact of indifferent voters on the likelihood of some voting paradoxes," Mathematical Social Sciences, Elsevier, vol. 48(3), pages 343-361, November.
    8. Aki Lehtinen, 2007. "The Borda rule is also intended for dishonest men," Public Choice, Springer, vol. 133(1), pages 73-90, October.
    9. Keith L. Dougherty & Julian Edward, 2022. "The effect of unconditional preferences on Sen’s paradox," Theory and Decision, Springer, vol. 93(3), pages 427-447, October.
    10. Gehrlein, William V., 2004. "The effectiveness of weighted scoring rules when pairwise majority rule cycles exist," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 69-85, January.
    11. Lachowicz, Mirosław & Matusik, Milena & Topolski, Krzysztof A., 2024. "Population of entities with three individual states and asymmetric interactions," Applied Mathematics and Computation, Elsevier, vol. 464(C).
    12. Thomas Ratliff & Donald Saari, 2014. "Complexities of electing diverse committees," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 55-71, June.
    13. Salvatore Barbaro & Nils D. Steiner, 2022. "Majority principle and indeterminacy in German elections," Working Papers 2202, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    14. Marie-Louise Lackner & Martin Lackner, 2017. "On the likelihood of single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(4), pages 717-745, April.
    15. Tigran Melkonyan & Zvi Safra, 2016. "Intrinsic Variability in Group and Individual Decision Making," Management Science, INFORMS, vol. 62(9), pages 2651-2667, September.
    16. Florian Brandl & Felix Brandt & Christian Stricker, 2022. "An analytical and experimental comparison of maximal lottery schemes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(1), pages 5-38, January.
    17. Ron Holzman & Bezalel Peleg & Peter Sudhölter, 2007. "Bargaining Sets of Majority Voting Games," Mathematics of Operations Research, INFORMS, vol. 32(4), pages 857-872, November.
    18. William Gehrlein, 2007. "Coincidence of Agreement between Probabilistic and Algebraic Choosers," Quality & Quantity: International Journal of Methodology, Springer, vol. 41(3), pages 461-487, June.
    19. Robi Ragan, 2015. "Computational social choice," Chapters, in: Jac C. Heckelman & Nicholas R. Miller (ed.), Handbook of Social Choice and Voting, chapter 5, pages 67-80, Edward Elgar Publishing.
    20. Tanguiane, Andranick S., 2022. "Analysis of the 2021 Bundestag elections. 2/4. Political spectrum," Working Paper Series in Economics 152, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    21. Donald G. Saari, 2015. "Voting mysteries: a picture is worth a thousand words," Chapters, in: Jac C. Heckelman & Nicholas R. Miller (ed.), Handbook of Social Choice and Voting, chapter 16, pages 284-302, Edward Elgar Publishing.
    22. Dougherty, Keith L. & Heckelman, Jac C., 2020. "The probability of violating Arrow’s conditions," European Journal of Political Economy, Elsevier, vol. 65(C).

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