Regulation through a revenue contest

This paper proposes a mechanism for the regulation of duopolies a revenue contests among the firms. Under the mechanism, the firm with the lower revenue is to pay a penalty to the firm with the higher revenue proportional to the difference between their revenues. In a homogenous good Cournot duopoly with convex cost and demand functions, the mechanism implements the optimal outcome when the firms have symmetric costs. When one firm is more efficient, the mechanism leads to increased social surplus under a large set of parameters. We also consider extensions that involve cost uncertainty, repeated games and differentiated goods.