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On the continuity of the walras correspondence for distributional economies with an infinite dimensional commodity space

Abstract : Exchange economies are defined by a distribution on the space of characteristics where the commodity space is an ordered separable Banach space. We characterize the continuity of the equilibrium correspondence and a stability concept associated. We provide a positive answer to an open question about the continuity of the Walras correspondence in infinite dimensional spaces. Regarding the stability concept, differentiability assumptions are not required as it is usual in the literature on regularity. Moreover, since distributional economies do not specify a space of agents, our setting encompass several results in the literature on large economies.
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https://hal.archives-ouvertes.fr/hal-02430960
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Submitted on : Tuesday, October 6, 2020 - 7:32:58 PM
Last modification on : Thursday, October 8, 2020 - 11:39:34 PM

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  • HAL Id : hal-02430960, version 3

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Sebastián Cea-Echenique, Matías Fuentes. On the continuity of the walras correspondence for distributional economies with an infinite dimensional commodity space. 2020. ⟨hal-02430960v3⟩

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