Myopic topologies on general commodity spaces (Q1080334)

Continuity of preferences imposes behavioral restrictions on the preferences such as impatience or myopia. This paper extends the notions of myopia due to \textit{D. J. Brown} and \textit{L. M. Lewis} [Econometrica 49, 359-368 (1981; Zbl 0451.90024)], and their characterization of the Mackey topology in terms of myopia, from \(l_{\infty}\) to \(L_{\infty}\). Then this characterization of the Mackey topology on \(L_{\infty}\) is used to extend Araujo's theorem on the necessity of impatience for the existence of competitive equilibrium from \(l_{\infty}\) to \(L_{\infty}\).