Abstract
Multicandidate elections with a single winner suggest several questions about the manner in which the preferences of a group of individual voters are aggregated into a single social choice. Obvious examples are the national presidential primaries in the major political parties. However, nonpolitical exercises such as the ranking of job applicants or college football teams provide other examples. If an individual’s preference is viewed as a ranking of the available choices then the literature on probability models for rankings (see the survey by Critchlow, Fligner and Verducci [11]) may be used to analyze methods for combining preferences. Several probability models are used to analyze the results of a five candidate presidential election of the American Psychological Association. In addition, simulated data generated by parametric probability models is used to consider the merits of a variety of voting systems.
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Stern, H. (1993). Probability Models on Rankings and the Electoral Process. In: Fligner, M.A., Verducci, J.S. (eds) Probability Models and Statistical Analyses for Ranking Data. Lecture Notes in Statistics, vol 80. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2738-0_10
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DOI: https://doi.org/10.1007/978-1-4612-2738-0_10
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