Bi-level optimisation of subsidy and capacity investment under competition and uncertainty
构建双层实物期权模型，研究双寡头市场中政府补贴与企业产能投资的均衡策略，发现战略互动显著影响投资决策，且补贴效果随经济不确定性增加而减弱。
In this paper, we develop a bi-level real options framework for deriving the equilibrium Government subsidisation and firm-level capacity investment policy in a duopoly market structure. We find that strategic interactions with the Government may impact a firm’s capacity investment decision significantly and that the equilibrium subsidisation policy depends on both the market structure and the type of duopolistic competition. Interestingly, the provision of greater subsidy to the leader raises the follower’s incentive to invest earlier and in a bigger project. The loss in value of the leader, due to the follower’s entry, relative to the monopolist increases with economic uncertainty and, although a subsidy can mitigate this loss, its effect becomes less pronounced as economic uncertainty increases. We also find that a profit (welfare)-maximising Government does not offer (offers) a subsidy in a highly uncertain environment or upon low tax rate, while higher tax rate does not always decelerate investment. Finally, we find that while competition is always desirable for a social planner, a profit-maximising Government may benefit more under pre-emptive competition.