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27/07/2022

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 can not 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 infinite or finite.