Solutions to sequencing and bargaining games

Game theory plays an important role in promoting rational individuals to cooperate with each other, improving strategies and optimizing resource allocations. In scheduling problems, we can establish cooperative or noncooperative game models to encourage participants to spontaneously form stable and optimal scheduling, and provide reasonable allocation schemes. However, the foundation of classical sequencing games is rooted in cooperative game theory, and does not involve noncooperative game theory. On the other hand, for noncooperative bargaining games, two kinds of bargaining models are defined. We reveal the existence of stationary subgame perfect equilibria of these games and analyze the properties of the expected equilibrium payoffs of players.