| Noise sensitivity and chaos in social choice theory, preprint (2005) | |||||||||||||||||
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| In this paper we study the social preferences obtained from monotone neutral social welfare functions for random individual preferences. We identify a class of social welfare functions that demonstrate a completely chaotic behavior: they lead to a uniform probability distribution on all possible social preference relations and, for every ɛ> 0, if a small fraction ɛ of individuals change their preferences (randomly) the correlation between the resulting social preferences and the original ones tends to zero as the number of individuals in the society increases. This class includes natural multi-level majority rules. | |||||||||||||||||
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