Abstract
The vulnerability of a social choice function to coalitional manipulation of preferences is defined as the proportion of voting situations in which the social choice function can be manipulated by a coalition of individuals. In this paper, we provide exact relations giving the vulnerability of four specific social choice functions (plurality rule, anti-plurality rule, plurality with runoff, anti-plurality with runoff) in three-alternative elections. Plurality with runoff appears to be less vulnerable than the other three rules.
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Lepelley, D., Mbih, B. The vulnerability of four social choice functions to coalitional manipulation of preferences. Soc Choice Welfare 11, 253–265 (1994). https://doi.org/10.1007/BF00193810
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DOI: https://doi.org/10.1007/BF00193810