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Pré-Publication, Document De Travail Année : 2021

Existence of Equilibrium in Finite Dimensional Asset Markets

Thai Ha-Huy
Cuong Le Van
Myrna Wooders
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Résumé

We consider a pure exchange asset model with a finite number of agents and a finite number of states of nature where short sells are allowed. We present the definition of weak no-arbitrage price, a weaker notion of noarbitrage price than the one of Werner, and prove that if the utility functions satisfy the maximal and closed gradients conditions we propose in this paper, then there exists an equivalence between existence of a general equilibrium and existence of a price which is weak no-arbitrage price for all the agents.
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Dates et versions

hal-04131008 , version 1 (16-06-2023)
hal-04131008 , version 2 (05-06-2024)

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  • HAL Id : hal-04131008 , version 2

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Thai Ha-Huy, Cuong Le Van, Myrna Wooders. Existence of Equilibrium in Finite Dimensional Asset Markets. 2024. ⟨hal-04131008v2⟩
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