Optimal growth with intermediate goods interdependence: A difference game approach

Two countries face a strategic interdependence in producing intermediate goods. Producing these intermediate goods requires both of domestic capital and another imported intermediate good. Individually they determine its balanced growth path by taking into account this interdependence. By allowing for strategic interactions in the analysis we adapted a two-agent dynamic setting and find an interior Markov Perfect Equilibrium (MPE) as well as an open-loop equilibrium. We find that main results resemble each other but growth rates will be higher when strategies are allowed to be revised dynamically.