In this paper we study a two-player investment game with a first mover advantage in continuous time with stochastic payoffs, driven by a geometric Brownian motion. One of the players is assumed to be ambiguous with maxmin preferences over a strongly rectangular set of priors. We develop a...

In this paper we analyse a dynamic model of investment under uncertainty in a duopoly, in which each firm has an option to switch from the present market to a new market. We construct a subgame perfect equilibrium in mixed strategies and show that both preemption and attrition can occur along...

We study a stochastic version of Fudenberg and Tirole's (1985) preemption game to analyze the effects of jumps in the underlying uncertainty on equilibrium strategies. Two firms contemplate entering a new market where the demand follows a jump-diffusion process. Firms differ is the sunk costs of...

We study a stochastic version of Fudenberg -- Tirole's preemption game. Two firms contemplate entering a new market with stochastic demand. Firms differ in sunk costs of entry. If the demand process has no upward jumps, the low cost firm enters first, and the high cost firm follows. If leader's...

A game in which an incumbent and an entrant decide the timings of entries into a new market is investigated. The profit flows involve two uncertain factors: (1) the basic level of the demand of the market observed only by the incumbent and (2) the fluctuation of the profit flow described by a...

Using real options game models, we consider the characterization of strategic equilibria associated with an asymmetric R&D race between an incumbent firm and an entrant firm in the development of a new innovative product under market and technological uncertainties. The random arrival time of...