Strategy-proof voting schemes with continuous preferences

S. Barberà, B. Peleg

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Abstract

We prove that all nondictatorial voting schemes whose range has more than two alternatives will be manipulable, when their domain is restricted to the set of all continuous preferences over alternatives. Our result neither implies nor is implied by the original Gibbard-Satterthwaite theorem, except if the number of alternatives is finite, when they coincide. A new, direct line of reasoning is used in the proof. It is presented in an introductory section, which may be useful in classroom situations. © 1990 Springer-Verlag.
Original languageEnglish
Pages (from-to)31-38
JournalSocial Choice and Welfare
Volume7
DOIs
Publication statusPublished - 1 Mar 1990

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    Barberà, S., & Peleg, B. (1990). Strategy-proof voting schemes with continuous preferences. Social Choice and Welfare, 7, 31-38. https://doi.org/10.1007/BF01832918