Has the game theory literature considered situations wherein there are three two-player games being played by three players concurrently with each other; and the outcomes of those games may impact the strategies of the players in the other games. The diagram (referenced below) visualizes the situation I am describing. I have searched the literature for more than a month now but haven't seen any work on this specific topic. Has there been any work done on this topic? If you know of any such work could you please share it?
More about the two distinct games:
- Game A is a sequential game (two distinct Game A's are being played)
- Game B is played simultaneous game (like game of Chicken).
Outcomes from Game A have an impact on strategies of players in Game B and outcomes from Game B may influence the strategies of player in the two distinct Game A's.