Call a mechanism that associates each profile of preferences over candidates to an ambiguous act an Ambiguous Social Function (ASCF). This paper studies the strategy-proofness of ASCFs. We find that an ASCF is unanimous and strategyproof if and only if there exists a nonempty subset of voters,...

Assuming individual preferences satisfy the Von Neumann-Morgenstern axioms for expected utility we show how we can measure an individual's expected utility of any state using their willingness to accept a gamble over two reference points. The utility function captures the diminishing marginal...