On the relation between preference reversal and strategy-proofness

We analyze the relation between strategy-proofness and preference reversal in case that agents may declare indifference. Interestingly, Berga Moreno (2020) have recently derived from group of social choice functions on strict preferences domains if range has no more than three elements. extend this result and, at same time, present a simple argument for proving it. Our analysis points out role individual deriving property, giving back to latter its original nature (cfr. Eliaz, 2004). Finally, we show is needed obtain there are infinitely many voters. • Almost characterizes strategy-proofness. With alternatives implies reversal. In infinite societies get