Coalitionally strategyproof functions depend only on the most-preferred alternatives
In a framework allowing infinitely many individuals, I prove that coalitionally strategyproof social choice functions satisfy gtops only. h That is, they depend only on which alternative each individual prefers the most, not on which alternative she prefers the second most, the third, . . . , or the least. The functions are defined on the domain of profiles measurable with respect to a Boolean algebra of coalitions. The unrestricted domain of profiles is an example of such a domain. I also prove an extension theorem.
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