This paper characterizes the equilibrium sets of an intrinsic common agency game with direct externalities between principals both under complete and asymetric information. Direct externalities arise when the contracting variable of one principal affects directly the other pricipal`s payoff....

We present a set of necessary and sufficient conditions for a class of optimal control problems with pure state constraints for which the objective function is linear in the state variable but the objective function is only required to be upper semicontinuous in the control variable. We apply...