Single-crossing dominance: A preference lattice

2019/02/19 by Gregorio Curello, Curello, Gregorio, Ludvig Sinander +1 · 1 voice
Decision Sciences · Economics, Econometrics and Finance · #Economic and Environmental Valuation #Game Theory and Applications #Game Theory and Voting Systems #econ.TH

paper · pdf · doi:10.1016/j.geb.2025.10.004

arxiv published 2019/02/19 · arxiv updated 2025/10/06 · openalex publication_date 2025/10/13 · openalex created_date 2025/10/14 · openalex updated_date 2026/06/11

Abstract

Most comparisons of preferences are instances of single-crossing dominance. We examine the lattice structure of single-crossing dominance, proving characterisation, existence and uniqueness results for minimum upper bounds of arbitrary sets of preferences. We apply these theorems to derive new comparative statics theorems for collective choice and under analyst uncertainty, and to characterise a general 'maxmin' class of uncertainty-averse preferences over Savage acts.

Citations

• Convex Choice
• The comparative statics of persuasion
• Condorcet Domains, Median Graphs and the Single Crossing Property
• On crown-free families of subsets
• Diamond-free Families
• Stochastic monotonicity and realizable monotonicity

Discussions

• The preference lattice arxiv.org/abs/1902.07260 @arxiv-econ-th.bsky.social preprint by Gregorio Curello and @nuffieldcollege.bsky.social Fellow Ludvig Sinander #EconSky #NuffSky [bsky, 1 points, 0 comments]

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• Monotone Comparative Statics without Lattices