Is It Ever Safe to Vote Strategically?

Arkadii Slinko and Shaun White


We extend the Gibbard-Satterthwaite theorem in the following way. We prove that an onto, non-dictatorial social choice rule which is employed to choose one of at least three alternatives is safely manipulable. This means that on occasion a voter will have an incentive to make a strategic vote and know that he will not be worse off regardless of how other voters with similar preference orders would vote, sincerely or not.

Social choice rule, strategic overshooting, strategic undershooting, safe manipulation, unsafe manipulation.

Math Review Classification
Primary 91B12

Last Updated
9 July 2008

25 pages

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