Discrete time dynamic Stackelberg games with the leaders in turn

In many dynamic Stackelberg games, the leader changes at each stage. A new type of dynamic Stackelberg game is initially put forward in this paper and is called dynamic Stackelberg games with the leaders in turn, in which players act as the leaders in turn. There exist extremely comprehensive applications for dynamic Stackelberg games with the leaders in turn. On the one hand, in this work we aim to establish models for a new type of game, dynamic Stackelberg games of multiple players with leaders in turn, which are induced from some economic and political phenomena, which play exceedingly important roles in many fields. On the other hand, we hope to extend dynamic programming algorithms to the new model under feedback information structure.