Titlebook: Existence and Optimality of Competitive Equilibria; Charalambos D. Aliprantis,Donald J. Brown,Owen Bur Textbook 1989 Springer-Verlag Berli

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Markets with Infinitely Many Commodities,We have defined commodities as physical goods which may differ in the location or time at which they are produced or consumed, or in the state of the world in which they become available. If we allow an infinite variation in any of these contingencies, then we are naturally led to consider economies with infinitely many commodities.

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The Overlapping Generations Model,extensions and elaborations of P. A. Samuelson’s celebrated pure consumption loan model [59]. Unlike the Arrow—Debreu model which has its genesis in the work of L. Walras [67], Samuelson’s model derives from I. Fisher’s classic monograph . [28]. As such it shares its origins with the models of T. F. Bewley [16] and B. Peleg and M. E. Yaari [53].

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Production with Infinitely Many Commodities,ble) sets of agent’s consumption plans or production plans are shown to be compact as a consequence of economically defensible assumptions on tastes and technology. In the infinite dimensional analysis, we, in essence, must assume compactness of the relevant sets.

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