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Connected incomplete preferences

delete2026-06-01
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PRE
AI
L
Leandro Gorno *
R
Rivello, Alessandro T.
DOI:10.1016/j.jmateco.2026.103253delete
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Abstract

Abstract

En 中文
This paper explores a new class of incomplete preferences - termed "connected preferences" - in which maximal domains of comparability are topologically connected. We provide necessary and sufficient conditions for continuous preferences to be connected. We also characterize their maximal domains of comparability. Our results extend classical findings in decision theory by linking topological properties of the choice space with the structure of preferences, offering a novel perspective on incompleteness in economic models.
Keywords:
Incomplete preferences
Maximal elements
Continuity
Connectedness

Journal

J
Journal of Mathematical Economics
IF:
0.7
Papers:
41
Citations:
0

Organization

G
Getulio Vargas Foundation
Scholars:
1.0K
Papers: 935
Citations: 1