Single-peaked choice
从选择理论角度研究单峰偏好，证明无关选项独立性公理和连续性要求刻画了一类单峰选择函数，并考察其理性化和可表示性。
Single-peaked preferences have played an important role in the literature ever since they were used by Black (J Polit Econ 56:23–34, 1948) to formulate a domain restriction that is sufficient for the exclusion of cycles according to the majority rule. In this paper, we approach single-peakedness from a choice-theoretic perspective. We show that the well-known axiom of independence of irrelevant alternatives (a form of contraction consistency) and a continuity requirement characterize a class of single-peaked choice functions. Moreover, we examine rationalizability and representability of these choice functions.