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Single-crossing dominance: a preference lattice

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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.geb.2025.10.004

Authors


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Institution:
University of Oxford
Division:
SSD
Department:
Economics
Oxford college:
Nuffield College
Role:
Author


Publisher:
Elsevier
Journal:
Games and Economic Behavior More from this journal
Publication date:
2025-10-13
Acceptance date:
2025-10-03
DOI:
EISSN:
1090-2473
ISSN:
0899-8256


Language:
English
Pubs id:
2298464
Local pid:
pubs:2298464
Deposit date:
2025-10-06

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