Connected Incomplete Preferences

Leandro Gorno and Alessandro Rivello

Papers from arXiv.org

Abstract: 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.

Date: 2020-08, Revised 2025-08
New Economics Papers: this item is included in nep-mic
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