ON STRATEGY‐PROOFNESS AND THE SALIENCE OF SINGLE‐PEAKEDNESS
研究了在丰富偏好域上满足防策略性、顶独特性、匿名性和一致性的规则，发现这些规则要求偏好满足半格单峰性，并给出了逆命题，解释了已知可允许非平凡防策略规则的受限域为何是半格单峰域。
Abstract We consider strategy‐proof rules operating on a rich domain of preference profiles. We show that if the rule satisfies in addition tops‐onlyness, anonymity, and unanimity, then the preferences in the domain have to satisfy a variant of single‐peakedness (referred to as semilattice single‐peakedness). We do so by deriving from the rule an endogenous partial order (a semilattice) from which the concept of a semilattice single‐peaked preference can be defined. We also provide a converse of this main finding. Finally, we show how well‐known restricted domains under which nontrivial strategy‐proof rules are admissible are semilattice single‐peaked domains.