Fig. 1

Examples/Counter-examples of social mini-games: Arrows indicate the direction of motion for two agents 1 and 2 toward their goals marked by the corresponding cross. The first scenario is a social mini-game since both the preferred trajectories of agents 1 and 2 are in conflict from some \(t=a\) to \(t=b\) where \(b-a \ge \delta \). The second and third scenarios are not social mini-games as there are no conflicts. In the second scenario, there is no duration where agents intersect one another. In the third scenario, agent 2 has an alternate conflict-free preferred trajectory to fall back on