We present an extension of the Goodwin growth-cycle model that considers the rate of capacity utilization as a new variable in an adapted Lotka-Volterra system of differential equations. We derive a differential equation for the capacity utilization that is proportional to the difference between...

We present an equilibrium model of the prices of crude oil and refined products that accounts for supply and demand shocks, the elasticity of the supply and demand markets, and the characteristics of the production and adjustment costs of refiners. We use the model to examine the relation...