Minimal Manipulability and Interjacency For Two-Person Social Choice Functions
Peter Fristrup, Hans Keiding
Abstract
Peter Fristrup, Hans Keiding
Abstract
This paper investigates the number of profiles at which a social choice function is manipulable. It is found that there is a lower bound on this number when the social choice function is assumed non-dictatorial. Also, any number between this lower bound and the maximal number of profiles may be obtained as the number of manipulable profiles of some social choice function.
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This paper investigates the number of profiles at which a social choice function is manipulable. It is found that there is a lower bound on this number when the social choice function is assumed non-dictatorial. Also, any number between this lower bound and the maximal number of profiles may be obtained as the number of manipulable profiles of some social choice function.
Key concepts: Upper and lower bounds, Social choice theory, Function (biology), Mathematical economics, Combinatorics, Mathematics, Mathematical analysis, Evolutionary biology