AbstractSingle-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 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 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.
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Bibliographic InfoPaper provided by Maastricht University in its series Open Access publications from Maastricht University with number urn:nbn:nl:ui:27-22992.
Date of creation: 2009
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Publication status: Published in Economic theory (2009) v.41, p.213-230
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Other versions of this item:
- Bossert, Walter & Peters, Hans, 2006. "Single-peaked choice," Research Memoranda 037, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
- BOSSERT, Walter & PETERS, Hans, 2006. "Single-Peaked Choice," Cahiers de recherche 11-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- BOSSERT, Walter & PETERS, Hans, 2006. "Single-Peaked Choice," Cahiers de recherche 2006-14, Universite de Montreal, Departement de sciences economiques.
- D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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