For simple problems (only) in stochastic storage, analytic solutions are available,and although simulation is available for more difficult problems, in many casesthis is impractically slow. A new system of partial dierential equations (PDEs),derived via techniques used to value options in nance,...

In John Nash’s proofs for the existence of (Nash) equilibria basedon Brouwer’s theorem, an iteration mapping is used. A continuous—time analogue of the same mapping has been studied even earlier byBrown and von Neumann. This differential equation has recently beensuggested as a plausible...

In this paper, we discuss the models of continuous dynamics on the 2-simplex that arise when different qualitative restrictions are imposed on the (continuous) functions that generate the dynamics on the 2-simplex. We consider three types of qualitative restrictions: inequality (or...