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.

著者

奥山 利幸 Okuyama Toshiyuki

出版者

法政大学経済学部学会

雑誌

経済志林 (ISSN:00229741)

巻号頁・発行日

vol.74, no.1, pp.143-168, 2006-08

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Baumgardner (1988), Kim (1989), and Weitzman (1994) have attemptedat proving Adam Smith Theorem, but their models are based uponimperfections. In this paper, I show what parts of their theories do anddo not reconcile with Adam Smith's theory of economic growth basedon the division of labor in the industries, and whether or not Smith'stheory contradicts the neoclassical paradigm.