High and volatile prices of major commodities have generated a wide array of analyses and policy prescriptions, including influential studies identifying price bubbles in periods of high volatility. Here we consider a model of the market for a storable commodity in which price expectations are...

We address the long-standing challenge of adding optimal exploration to the classic Hotelling model of a non-renewable resource. We completely solve such a model, using impulse control. The model, extending Arrow and Chang (1982), has two state variables: "proven" reserves and a finite...