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UTILITY MAXIMIZATION IN A LARGE MARKET
Authors:Oleksii Mostovyi
Affiliation:University of Connecticut
Abstract:We study the problem of expected utility maximization in a large market, i.e., a market with countably many traded assets. Assuming that agents have von Neumann–Morgenstern preferences with stochastic utility function and that consumption occurs according to a stochastic clock, we obtain the “usual” conclusions of the utility maximization theory. We also give a characterization of the value function in a large market in terms of a sequence of value functions in finite‐dimensional models.
Keywords:utility maximization  large markets  incomplete markets  convex duality  optimal investment  stochastic clock
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