Strategic Capital Accumulation with Singular Control
We present a duopoly model of strategic capital accumulation in continuous time with uncertainty, such that investment takes the form of singular control. Spot competition is of Cournot type. For this model there exists a parameterized and Pareto-rankable family of Markov perfect equiblibria in symmetric strategies, according to which implicit collusion induces positive option values. However, preemption can also eliminate any option value in a limiting case corresponding to Bertrand prices.
C73 - Stochastic and Dynamic Games ; D43 - Oligopoly and Other Forms of Market Imperfection ; D92 - Intertemporal Firm Choice and Growth, Investment, or Financing