Study on Equilibrium Real-option Exercise Strategies based on Competitive Interactions

In this article, strategic investment in duopoly where the costs of the two firms are asymmetric is studied based on the option games. First, the expressions of value functions of the firm and the optimal investment thresholds are deduced. Second, this study investigates the strategy equilibriums and their types and existing conditions of both the firms by considering negative externalities and positive externalities, respectively. Third, the effect of uncertainty on investment thresholds and the effect of uncertainty, first-mover advantage, and second-mover advantage on equilibrium results and on investment interval are also discussed. Finally, the existence of optimal perfect Nash equilibrium strategies is proved further by a numerical analysis.