Division of Applied Mathematics, Brown University, Providence, RI, USA;School of Management, University of Massachusetts, Amherst, MA, USA
Abstract:
This paper shows that market equilibrium problems of production may generally be modelled as equilibrium flow problems in networks and that their equilibrium conditions can be visualized as a variational inequality. This connection would allow us to transplant directly elements of the well-developed theory of equilibrium flow in networks to the theory of market equilibrium.