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Equilibria in Exchange Economies with a Countable Number of Agents

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Abstract

The existence of equilibria is established in an overlapping generations exchange economy, where each generation lives for two periods and the commodity space is the positive cone of an infinite dimensional Riesz space. In particular, we establish the existence of equilibria in the stochastic overlapping generations model, i.e., we establish the existence of equilibria when the commodity space in each period is L_{infinity} equipped with the Mackey topology tau(L_{infinity},L_{1}).

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  • Donald J. Brown & Charalambos Aliprantis & Owen Burkinshaw, 1987. "Equilibria in Exchange Economies with a Countable Number of Agents," Cowles Foundation Discussion Papers 834R, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:834r
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d08/d0834-r.pdf
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    1. Donald J. Brown & Charalambos Aliprantis & Owen Burkinshaw, 1987. "Valuation and Optimality in Exchange Economies with a Countable Number of Agents," Cowles Foundation Discussion Papers 838, Cowles Foundation for Research in Economics, Yale University.
    2. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 19(1), pages 113-185, March.

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