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Necessary and sufficient conditions for transitivity in voting theory
Authors:Mamoru Kaneko
Affiliation:Department of Social Engineering, Tokyo Institute of Technology, 2-12-1 O-Okayama Meguro-ku, Tokyo 152, Japan
Abstract:In this paper we provide necessary and sufficient conditions for transitivity of the social preferences given by two types of social decision processes. We consider transitivity of the dominance relation of a proper simple game and that of the social preference given by the simple majority decision rule.
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