We give an explicit PDE characterization for the solution of a robust utility maximization problem in an incomplete market model, whose volatility, interest rate process, and long-term trend are driven by an external stochastic factor process. The robust utility functional is defined in terms of...

The paper shows that the principal can enhance her control over the agent's human capital by acquiring the physical capital that is critical for him to create value. However, the enhancement in the control necessarily reduces his incentive to make human capital investment ex ante and to exert...