Differential Games with (A)symmetric Players and Heterogeneous Strategies (II)

One family of heterogeneous strategies in differential games with (a)symmetric players is developed in which one player adopts an anticipating open-loop strategy and the other adopts a standard Markovian strategy. Via conjecturing principle, the anticipating open-loop strategic player plans his strategy based on the possi- ble updating the rival player may take. These asymmetric strategies frame non- degenerate Markovian Nash Equilibrium, which can be subgame perfect. Except the stationary path, this kind of strategy makes the study of short-run trajectory possible, which usually are not subgame perfect. However, the short-run non- perfection provides very important policy suggestions.