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...

This paper uses a discrete-time partial equilibrium model of the European Emissions Trading System (EU ETS) to analyze the impact of the recent reform on allowance prices. By including bounded rationality such as myopia or hedging requirements, we find that the Hotelling price path is no longer...

We build a two-sector dynamic general equilibrium model with one-sided substitutability between fossil carbon and biocarbon. One shock only, the discovery of the technology to use fossil fuels, leads to a transition from an initial pre-industrial phase to three following phases: a pure fossil...

We show how a monopolistic owner of oil reserves responds to a carbon-free substitute becoming available at some uncertain point in the future if demand is isoelastic and variable extraction costs are zero but upfront exploration investment costs have to be made. Not the arrival of this...

This paper develops a model in which supply of a non-renewable resource can adjust through two margins: the rate of depletion and the rate of field opening. Faster depletion of existing fields means that less of the resource can ultimately be extracted, and optimal depletion of open fields...

The Green Paradox states that, in the absence of a tax on CO2 emissions, subsidizing a renewable backstop such as solar or wind energy brings forward the date at which fossil fuels become exhausted and consequently global warming is aggravated. We shed light on this issue by solving a model of...