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Abstract
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I will give an expository talk on the paper by Avinash Dixit. Dixit considers a stochastic control problem for which the state variable follows a Brownian motion. The flow reward is a function of the state, which can be regulated with a lump-sum and linear cost of adjustment. By using a discrete approximation, Dixit develops a simple exposition of the control problem. He derives the value matching conditions that hold for the optimal control. |
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