On the continuity of the Walras correspondence in distributional economies with an infinite-dimensional commodity space

Sebastián Cea and Matías Fuentes

Mathematical Social Sciences, 2024, vol. 129, issue C, 61-69

Abstract: Distributional economies are defined by a probability distribution in the space of characteristics where the commodity space is an ordered separable Banach space. We characterize the continuity of the equilibrium correspondence and an associated stability concept which allows us to give a positive answer to an open question about the continuity of the Walras correspondence in infinite-dimensional spaces. As a byproduct, we study a stability concept where differentiability assumptions are not required, as is usual in the literature on regularity. Moreover, since distributional economies do not specify a space of agents, our setting encompasses several results in the literature on large economies.

Keywords: Essential stability; Equilibrium correspondence continuity; Infinite-dimensional spaces; Distributional economies (search for similar items in EconPapers)
Date: 2024
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Working Paper: On the continuity of the Walras correspondence in distributional economies with an infinite-dimensional commodity space (2024)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:129:y:2024:i:c:p:61-69

DOI: 10.1016/j.mathsocsci.2024.03.005

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