Interactions Stratégiques sur le Marché d'une Ressource Non-renouvelable : Le cas du phosphore

TLDR: In this article, the authors consider a two-period model where an extractor and a recycler compete with quantities and show that the effect of recycling on the extracted quantities strongly depends on the level of the stock of phosphorus.

Abstract: The theoretical literature that deals with phosphorus considers the market of the resource as being perfectly competitive, whereas the reality of this market suggests otherwise. Indeed, several interactions occur in this market. The main aim of this thesis is to rethink this market in an imperfectly framework. More specifically, we analyze the effect of recycling on the extraction of an exhaustible resource, on the dynamic of the resource price, on its date of depletion and on the reduction of water pollution. This thesis consists in a general introduction and five theoretical chapters all dealing with the economics of phosphorus or of exhaustible resources. Chapter 1 considers a two-period model where an extractor and a recycler compete with quantities. We assume that extracted and recycled phosphorus are strategic substitutes. We show that the effect of recycling on the extracted quantities strongly depends on the level of the stock of phosphorus. Chapter 2 extends the previous chapter in a continuous time framework over an infinite horizon. It investigates the effect of phosphorus recycling on the monopolist's extraction and on the dynamic of its price. We postulate an optimal control model and show that the price of the resource does not necessarily increase through time. Chapter 3 considers that extraction and recycling can be either strategic substitutes or strategic complements. In a two-period model, we show that the effect of recycling on the monopolist's second-period marginal revenue and on its extracted quantities depends on whether extracted and recycled products are strategic substitutes or strategic complements. Chapter 4 considers that the extracting sector chooses between accommodating or preventing the recycler's entry. The entry prevention can take two forms: either deterring or blockading. In a two-period model, we show that the strategy of the extractor depends on the level of the fixed costs incurred by the recycler and on whether the resource is scarce or not. Chapter 5 addresses the problems of phosphorus exhaustion and water pollution. We consider one firm that extracts and recycles phosphorus. We investigate the influence of a tax-subsidy scheme. We show that a combination of these two instruments enables to reduce water pollution and to prolong the lifetime of phosphorus.