Single-peaked choice

Printer-friendly version
Working paper
Walter Bossert and Hans Peters
Issue number: 
Maastricht University
Single-peaked preferences have played an important role in the literature ever since they were used by Black (1948) to formulate a domain restriction that is suļ¬ƒcient 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 independence of irrelevant alternatives (a form of contraction consistency) and a weak continuity requirement characterize a class of single-peaked choice functions. Moreover, we examine the rationalizability and the rationalizability-representability of these choice functions.
Developed by Paolo Gittoi