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Abrams, R.: “Social Homogeneity and Political Viability,” mimeographed, Brooklyn College/CUNY, 1975.
Arrow, K. J.:Social Choice and Individual Values, 2nd ed. New York: Wiley, 1963.
Black, D.:The Theory of Committees and Elections. Cambridge, England: Cambridge University Press, 1958.
Borda, Jean-Charles de: “Mémoire sur les élections au scrutin,”Histoire de l'Académie Royale des Sciences, 1781.
Campbell, C. D., and G. Tullock: “A Measure of the Importance of Cyclical Majorities,”Economic Journal, 75 (1965), 853–857.
Condorcet, Marquis de:Essai sur l'application de l'analyse á la probabilité des décisions rendues á la pluralité des voix. Paris: 1785.
DeMeyer, F., and C. R. Plott: “The Probability of a Cyclical Majority,”Econometrica, 38 (1970), 345–354.
Fine, B., and K. Fine: “Social Choice and Individual Ranking I,”The Review of Economic Studies, 41 (1974), 303–322.
Fine, B., and K. Fine: “Social Choice and Individual Ranking II,”The Review of Economic Studies, 41 (1974), 459–475.
Fishburn, P.C.:The Theory of Social Choice. Princeton, N.J.: Princeton University Presess, 1973.
——: “A Proof of May's Theorem P(m,4)=2P(m,3),”Behavioral Science, 18 (1973), 212.
——: “Voter Concordance, Simple Majorities, and Group Decision Methods,”Behavioral Science, 18 (1973), 364–376.
—— and W. V. Gehrlein: “An Analysis of Simple Two-Stage Voting Systems,”Behavioral Science, 21 (1976), 1–12.
Garman, M., and M. Kamien: “The Paradox of Voting: Probability Calculations,”Behavioral Science, 13 (1968), 306–316.
Gehrlein, W. V., and P. C. Fishburn: “The Probability of the Paradox of Voting: A Computable Solution,”Journal of Economic Theory (forthcoming).
Inada, K.: “Majority Rule and Rationality,”Journal of Economic Theory, 2 (1970), 27–40.
Jamison, D., and E. Luce: “Social Homogeneity and the Probability of Intransitive Majority Rule,”Journal of Economic Theory, 5 (1972), 79–87.
Kelly, J. S.: “Voting Anomalies, The Number of Voters, and the Number of Alternatives,”Econometrica, 42 (1974), 239–251.
Kendall, M. G., and B. B. Smith: “The Problem of m Rankings,”Annals of Mathematical Statistics, 10 (1939), 275–287.
Kuga, K., and H. Nagatani: “Voter Antagonism and the Paradox of Voting,”Econometrica, 42 (1974), 1045–1067.
May, R. M.: “Some Mathematical Remarks on the Paradox of Voting,”Behavioral Science, 16 (1971), 143–151.
Niemi, R. G.: “Majority Decision-Making with Partial Unidimensionality,”American Political Science Review, 63 (1969), 488–497.
—— and H. Weisberg: “A Mathematical Solution for the Probability of the Paradox of Voting,”Behavioral Science, 13 (1968), 317–323.
Pattanaik, P. K.:Voting and Collective Choice. Cambridge, England: Cambridge University Press, 1971.
Pomeranz, J. E., and R. L. Weil: “The Cyclical Majority Problem,”Communications of the A.C.M., 12 (1970), 251–254.
Selby, S. M.:Standard Mathematical Tables, 14th ed. Cleveland, Ohio: Chemical Rubber Co., 1965, p. 390.
Sen, A. K.:Collective Choice and Social Welfare. San Francisco: Holden-Day, 1970.
Smith, J. H.: “Aggregation of Preferences with Variable Electorate,”Econometrica, 41 (1973), 1027–1041.
Vickrey, W.: “Utility, Strategy, and Social Decision Rules,”Quarterly Journal of Economics, 74 (1960), 507–535.
Young, H. P.: “An Axiomatization of Borda's Rule,”Journal of Economic Theory, 9 (1974), 43–52.
——: “A Note on Preference Aggregation,”Econometrica, 42 (1974), 1129–1131.
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This research was supported by the National Science Foundation.
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Gehrlein, W.V., Fishburn, P.C. Condorcet's paradox and anonymous preference profiles. Public Choice 26, 1–18 (1976). https://doi.org/10.1007/BF01725789
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DOI: https://doi.org/10.1007/BF01725789