選好空間への位相--Fell位相の妥当性

概要

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The topology of closed convergence (Fell topology) has hitherto served as a standard model of neighboring preferences in economics. Grodal (1974) and Hildenbrand (1974) provided thorough analyses of the Fell topology for irreflexive, transitive, and continuous binary relations on a given set of alternatives. The purpose of this paper is to give a preliminary analysis of whether the Fell topology can be a rational model of neighboring preferences on the space of complete, reflexive, transitive, and continuous binary relations. I demonstrate, as an intermediate result, that the subspace of complete, reflexive, and continuous binary relations is closed, and hence compact, under the Fell topology.
法政大学経済学部学会の論文