A new informational base for social choice (Q1124505)

The Gibbard-Satterthwaite theorem that a non-manipulable social choice function is dictatorial is based on complete orderings of alternatives by voters. This paper proves a similar result based on complete orderings of sets of alternatives by voters. In that case, non-manipulability implies the existence of a one-third minority coalition of voters that can prevent a particular alternative from being chosen.