Revisting Adjustment Cost and Its Stabilizing Impact on the Long Run Behavior of Profit Maximizing Firms with Increasing Returns to Scale.
Relaxing the concavity assumption to quasi-concavity in the classical programming problem strengthens the Theory of the Consumer but is said to weaken that of the firm. This paper combines the Euler equation and the concept of sub-manifolds to show that there may be stable, multiple or unique path of capital accumulation under quasi- concavity. Thus whether or not the path is unique and therefore optimal depends on the evenness or oddness of the order of the Hessian matrix of the production function.
C60 - Mathematical Methods and Programming. General ; C62 - Existence and Stability Conditions of Equilibrium ; D20 - Production and Organizations. General ; D21 - Firm Behavior