Equilibrium of a production economy with unbounded attainable allocations set

Senda Ouanaies (), Jean-Marc Bonnisseau and Souhail Chebbi ()
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Senda Ouanaies: Centre d'Economie de la Sorbonne & Department of Mathematics - University El Manar Tunis
Souhail Chebbi: Department of Mathematics - King Saud University, https://centredeconomiesorbonne.univ-paris1.fr

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

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

Keywords: production economy; unbounded attainable allocations; quasi-equilibrium; non complete non transitive preferences (search for similar items in EconPapers)
JEL-codes: C62 D11 D51 (search for similar items in EconPapers)
Date: 2016-08
New Economics Papers: this item is included in nep-mic and nep-upt
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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:16056

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