Reformulate the problem as a linear complementarity problem

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Question: A pure monopolist operates in a market where he faces stochastic inverse demand functions, p˜ = c˜ - Dx, where D is an asymmetric positive semidefinite matrix and the random vector c˜ is distributed according to a normal density with mean E (c˜) and variance Var(c˜). This entrepreneur's preferences are expressed by the utility function u˜ = 1 - e - Φr^  , where φ > 0 is a constant risk aversion coefficient and r^ is stochastic revenue

(a) Set up and justify an appropriate model to represent the pure monopolist's behavior.

(b) Derive the dual specification and give a complete economic interpretation.

(c) Reformulate the problem as a linear complementarity problem.

Reference no: EM131483910

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