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Partial differential equations -- Elements of the theory of the Stochastic processes -- Partial differential equation … in the consumer theory -- Partial differential equations in the producer theory -- Partial differential equations and … pricing of the financial -- Derivatives -- A theory of boundedly rational behavior -- Partial differential equations in game …
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Using the Hamilton-Jacobi-Bellman equation, we derive both a Keynes-Ramsey rule and a closed form solution for an optimal consumption-investment problem with labor income. The utility function is unbounded and uncertainty stems from a Poisson process. Our results can be derived because of the...
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