著者

奥山 利幸

出版者

法政大学経済学部学会

雑誌

経済志林 = The Hosei University Economic Review (ISSN:00229741)

巻号頁・発行日

vol.77, no.4, pp.385-411, 2010-03-15

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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.