# Equilibrium of a production economy with unbounded attainable allocation set

Abstract : In this paper, we consider a production economy with an unbounded attainable set where the consumers may have non-complete non-transitive preferences. To get the existence of an equilibrium, we provide an asymptotic property on preferences for the attainable consumptions. We show that this condition holds true if the set of attainable allocations is compact or, when preferences are representable by utility functions, if the set of attainable individually rational utility levels is compact. So we extend the previous existence results with unbounded attainable sets in two ways by adding a production sector and considering general preferences.
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https://halshs.archives-ouvertes.fr/halshs-01382539
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Submitted on : Monday, October 17, 2016 - 11:32:21 AM
Last modification on : Sunday, January 19, 2020 - 6:38:27 PM

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• HAL Id : halshs-01382539, version 1

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Senda Ounaies, Jean-Marc Bonnisseau, Souhail Chebbi. Equilibrium of a production economy with unbounded attainable allocation set. 2016. ⟨halshs-01382539v1⟩

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