This is a preview of subscription content, log in via an institution to check access.
References
Aranson, P. H., and Ordeshook, P. C., “Spatial Strategies for Sequential Elections,” in Niemi, R. G., and Weisberg, H. F. (eds), Probability Models of Collective Decision Making, Columbus, Ohio: Charles E. Merrill, 1972, pp. 298–331.
Davis, O. A., Hinich, M. J., and Ordeshook, P. C. “An Expository Development of a Mathematical Model of the Electoral Process,” American Political Science Review, 64, 1970, pp. 426–448.
DeMeyer, F., and Plott, C. R. “The Probability of a Cyclical Majority,” Econometrica, 38, 1970, pp. 345–354.
Fishburn, P. C., and Gehrlein, W. V. “An Analysis of Simple Two-Stage Voting Systems,” Behavioral Science, 21, 1976a, pp. 1–12.
Fishburn, P. C., and Gehrlein, W. V. “Borda's Rule, Positional Voting, and Condorcet's Simple Majority Principle,” Public Choice, 28, 1976b, pp. 79–88.
--. “Toward a Theory of Elections with Probabilistic Preferences,” Econometrica, 45, 1977.
Garman, M., and Kamien, M. “The Paradox of Voting: Probability Calculations,” Behavioral Science, 13, 1968, pp. 306–316.
Gehrlein, W. V., and Fishburn, P. C. “The Probability of the Paradox of Voting: A Computable Solution,” Journal of Economic Theory, 13, 1976a, pp. 14–25.
Gehrlein, W. V., and Fishburn, P. C. “Condorcet's Paradox and Anonymous Preference Profiles,” Public Choice, 26, 1976b, pp. 1–18.
Hinich, M. J., and Ordeshook, P. C. “Abstention and Equilibrium in the Electoral Process,” Public Choice, 7, 1969, pp. 81–106.
Hinich, M. J., Ledyard, J. O., and Ordeshook, P. C. “Nonvoting and the Existence of Equilibrium under Majority Rule,” Journal of Economic Theory, 4, 1972, pp. 144–153.
Kendall, M. G., and Stuart, A. The Advanced Theory of Statistics, London: Charles Griffin Co., Ltd., 1963.
May, R. M.: “Some Mathematical Remarks on the Paradox of Voting,” Behavioral Science, 16, 1971, pp. 143–151.
Niemi, R. G., and Weisberg, H. F. “A Mathematical Solution to the Probability of the Paradox of Voting,” Behavioral Science, 13, 1968, pp. 317–323.
Niemi, R. G., and Weisberg, H. F. “The Effects of Group Size on Collective Decision Making,” in Niemi, R. G., and Weisberg, H. F. (eds), Probability Models of Collective Decision Making, Columbus, Ohio: Charles E. Merrill, 1972, pp. 125–148.
Sen, A. K. “Preferences, Votes and the Transitivity of Majority Decisions,” Review of Economic Studies, 31, 1964, pp. 163–165.
Shepsle, K. A. “Parties, Voters, and the Risk Environment: A Mathematical Treatment of Electoral Competition Under Uncertainty,” in Niemi, R. G., and Weisberg, H. F. (eds), Probability Models of Collective Decision Making, Columbus, Ohio: Charles E. Merrill, 1972, pp. 273–297.
Additional information
The School of Management, Clarkson College, and The College of Business Administration, The Pennsylvania State University, respectively. This research was supported by the National Science Foundation.
Rights and permissions
About this article
Cite this article
Gehrlein, W.V., Fishburn, P.C. The effects of abstentions on election outcomes. Public Choice 33, 69–82 (1978). https://doi.org/10.1007/BF00118358
Issue Date:
DOI: https://doi.org/10.1007/BF00118358