No arbitrage condition and existence of equilibrium in infinite or finite dimension with expected risk averse utilities
We consider a general equilibrium model in asset markets with a countable set of states and expected risk averse utilities. The agents do not have the same beliefs. We use the methods in Le Van - Truong Xuan (JME, 2001) but one of their assumption which is crucial for obtaining their result cannot be accepted in our model when the number of states is countable. We give a proof of existence of equilibrium when the number of states is inï¬ nite or ï¬ nite.
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- Allouch, Nizar & Le Van, Cuong & Page, Frank Jr., 2002.
"The geometry of arbitrage and the existence of competitive equilibrium,"
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- Page, Frank Jr., 1987. "On equilibrium in Hart's securities exchange model," Journal of Economic Theory, Elsevier, vol. 41(2), pages 392-404, April.
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