Reverse Stackelberg games, part II: Results and open issues

A reverse Stackelberg game formulation can be adopted as a means to structure hierarchical control problems. Here, a leader player announces a mapping of the follower´s decision space into the leader´s decision space, after which a follower player determines his optimal decision variable. In the companion paper of this survey entitled `Reverse Stackelberg Games, Part I: Basic Framework´, an introduction to the game has been provided with a clarification of the description of this game as it is studied in different research areas. In the current paper, an overview is provided of several main developments in the field. These contributions are categorized according to several aspects that are inherent to the formulation of the game, and they are briefly analyzed. Finally, several open issues are brought forward that are relevant for further research.