Abstract
The Condorcet jury theorem (CJT) is based on the assumption of homogeneous voters who imperfectly know the correct policy. We reassess the validity of the CJT when voters are homogeneous and each knows the correct decision with an average probability of more than a half.
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Notes
Early expositions and generalizations were proposed by Hoeffding (1956), Grofman (1975), Grofman et al. (1983), Feld and Grofman (1984), Nitzan and Paroush (1982, 1985), Young (1988), Owen et al. (1989), Boland (1989). Ladha (1995) and Berg (1993) relaxed the independence assumption; Austen-Smith and Banks (1996), Ben-Yashar (2006), and Ben-Yashar and Milchtaich (2007) generalized the setting to a strategic voting model; Paroush (1998) emphasized the importance of boundedness away from one-half; Berg and Paroush (1998) studied hierarchical voting. CJT can be generalized to the case of heterogeneous voters. See, for example, Ben-Yashar and Zahavi (2011), Ben-Yashar and Danziger (2011), and Berend and Paroush (1998). Ben-Yashar and Paroush (2000) generalized the non-asymptotic part of the theorem. Berend and Sapir (2005) further generalized the non-asymptotic part of the theorem beyond the analysis of Ben-Yashar and Paroush. Baharad and Ben-Yashar (2009) studied the validity of the CJT under subjective probabilities.
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Ben-Yashar, R. The generalized homogeneity assumption and the Condorcet jury theorem. Theory Decis 77, 237–241 (2014). https://doi.org/10.1007/s11238-013-9395-y
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DOI: https://doi.org/10.1007/s11238-013-9395-y