Single-Peaked Choice

W. Bossert; H.J.M. Peters

doi:10.1007/s00199-008-0393-1

Single-Peaked Choice

W. Bossert, H.J.M. Peters^*

^*Corresponding author for this work

Quantitative Economics

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

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.

Original language	English
Pages (from-to)	213-230
Number of pages	18
Journal	Economic Theory
Volume	41
DOIs	https://doi.org/10.1007/s00199-008-0393-1
Publication status	Published - 1 Jan 2009

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AB - 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.

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Single-Peaked Choice

Abstract

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