Strategy-proofness, requiring that truth-telling is a dominant strategy, is a standard concept in social choice theory. However, the concept of strategy-proofness has serious drawbacks. First, announcing one's true preference may not be a unique dominant strategy, and using the wrong dominant...

We consider the problem of sharing a good, where agents prefer more to less. In this environment, we prove that a sharing rule satisfies strategy-proofness if and only if it has the quasi-constancy property: no one changes her own share by changing her announcements. Next by constructing a...