Abstract
Previous research has developed a representation for the Condorcet efficiency of plurality and negative plurality rules on three candidates for large electorates under the impartial culture condition. This study considers the two stage voting rules on three candidates, plurality elimination and negative plurality elimination. A representation is obtained for the Condorcet efficiency of each for large electorates under impartial culture. The Condorcet efficiencies of both rules are equal and are shown to be substantially greater than the Condorcet efficiency of plurality and negative plurality.
Similar content being viewed by others
References
Condorcet, Marquis de (1785). Essai sur l'application de l'analyse a la probabilité des decisions rendues à pluralité de voix, Paris.
Fishburn, P. C. and W. V. Gehrlein (1982). Majority efficiencies for simple voting procedures: summary and interpretation,Theory and Decision 14: 141–153.
Gehrlein, W. V. (1981). Single stage election procedures for large electorates,Journal of Mathematical Economics 8: 263–275.
Gehrlein, W. V. (1983) Condorcet's Paradox,Theory and Decision 15: 161–197.
Gehrlein, W. V. (1992) Condorcet efficiency and social homogeneity, Mimeograph.
Gehrlein, W. V. and P. C. Fishburn (1978). Probabilities of election outcomes for large electorates,Journal of Economic Theory 19: 38–49.
Gehrlein, W. V. and P. C. Fishburn (1981). Constant scoring rules for selecting one among many alternatives,Quality and Quantity 15: 203–210.
Guilbaud, G. T. (1952). Les théories de l'intérêt général et le problème logique de l'aggrégation,Economie Appliquee 5: 501–584.
Kendall, M. G. and A. Stuart (1963).The Advanced Theory of Statistics, Griffin Publishing, London.
Wilks, S. S. (1962).Mathematical Statistics, John Wiley, New York.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gehrlein, W.V. Condorcet efficiency of two stage constant scoring rules. Qual Quant 27, 95–101 (1993). https://doi.org/10.1007/BF01097012
Issue Date:
DOI: https://doi.org/10.1007/BF01097012