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Equilibre général avec une double infinité de biens et d'agents

Abstract : We propose a new approach to prove the existence of Walrasian equilibria for economies with a measure space of agents and a finite or infinite dimensional commodity space. We begin to prove (in chapter 1) a discretization result for measurable correspondences, which allows us to consider an economy with a measure space of agents as the limit of a sequence of economies with a finite, but larger and larger, set of agents. In the framework of economies with a measure space of agents, we apply this result, first (in chapter 2) to economies with finitely many commodities, then (in chapter 3) to economies with a separable Banach commodity space ordered by a positive cone which has an interior point, and finally (in chapter 4) to economies with differentiated commodities. We generalize existence results of Aumann (1966), Schmeidler (1969), Hildenbrand (1970), Khan and Yannelis (1991), Rustichinni and Yannelis (1991), Ostroy and Zame (1994) and Podczeck (1997) to economies with non ordered preferences and with a non trivial production sector.
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Contributor : Vivtor Filipe Martins da Rocha <>
Submitted on : Wednesday, July 17, 2002 - 10:58:29 AM
Last modification on : Tuesday, January 19, 2021 - 11:08:07 AM
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  • HAL Id : tel-00001497, version 1



Victor Filipe Martins da Rocha. Equilibre général avec une double infinité de biens et d'agents. Mathématiques [math]. Université Panthéon-Sorbonne - Paris I, 2002. Français. ⟨tel-00001497⟩



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