Pré-Publication, Document De Travail Année : 2017

Existence of equilibrium on asset markets with a countably infinite number of states

Résumé

We consider a model with a countably infinite number of states of nature. The agents have equivalent probability beliefs and von Neumann-Morgenstern utilities. The No-Arbitrage Prices in this this paper are, up to a scalar, the marginal utilities. We introduce the Beliefs Strong Equivalence and the No Half Line Condition of the same type conditions. Under these conditions, the No Arbitrage price condition is sufficient for the existence of an equilibrium when the commodity space is l p , 1 ≤ p < +∞. This No Arbitrage condition is necessary and sufficient for the existence of equilibrium when the total endowment is in l ∞. Moreover, it is equivalent to the compactness of the individually rational utility set.

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A comme version hal-02877952 Article Thai Ha-Huy, Cuong Le Van. Existence of equilibrium on asset markets with a countably infinite number of states. Journal of Mathematical Economics, 2017, 73, pp.44-53. ⟨10.1016/j.jmateco.2017.07.001⟩. ⟨hal-02877952⟩

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hal-04130993 , version 1 (16-06-2023)

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Thai Ha-Huy, Cuong Le Van. Existence of equilibrium on asset markets with a countably infinite number of states. 2017. ⟨hal-04130993⟩
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