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This paper revisits the aggregation theorem of Chichilnisky (1980), replacing the original smooth topology by the … closed convergence topology and responding to several comments (N. Baigent (1984, 1985, 1987, 1989), N. Baigent and P. Huang … both the closed convergence topology and the smooth topology. Because of their contractibility, these spaces satisfy the …
Persistent link: https://www.econbiz.de/10005836223
], and of non-cooperative equilibrium in game theory as formalized by Nash (1950). This article aim to show that topology is …
Persistent link: https://www.econbiz.de/10005621494
Social choice theory is concerned with providing a rationale for social decisions when individuals have diverse opinions. Voting is an obvious way in which societies aggregate individual preferences to obtain social ones. The procedure of voting registers individual comparisons between...
Persistent link: https://www.econbiz.de/10005622080
The problem of endowing preferences with manifold structures emerged from discussions with Gerard Debreu in 1975 . Time has shown that such structures can be useful in understanding the behavior of economic systems . In Chichilnisky (1976) spaces of smooth preferences were endowed with a Hilbert...
Persistent link: https://www.econbiz.de/10005623317