On the Effects of Mergers on Equilibrium Outcomes in a Common Property Renewable Asset Oligopoly

This paper examines a dynamic game of exploitation of a common pool of some renewable asset by agents that sell the result of their exploitation on an oligopolistic market. A Markov Perfect Nash Equilibrium of the game is used to analyze the effects of a merger of a subset of the agents. We study the impact of the merger on the equilibrium production strategies, on the steady states, and on the profitability of the merger for its members. We show that there exists an interval of the asset's stock such that any merger is profitable if the stock at the time the merger is formed falls within that interval. That includes mergers that are known to be unprofitable in the corresponding static equilibrium framework.

On the Markovian efficiency of Bertrand and Cournot equilibria

We characterize and compare closed-loop (feedback) price and quantity strategies within a full-fledged dynamic model of oligopolistic competition in which production requires exploitation of a renewable productive asset. Unlike previous papers on the strategic exploitation of productive assets, we allow for imperfect product substitutability, which enables us to deal with price competition. We show that the traditional result that the Bertrand equilibrium is more efficient than the Cournot equilibrium does not necessarily hold in a Markovian environment, either in the short-run or at the stationary equilibrium, or using the discounted sum of welfare as a criterion for relative efficiency.