We study the bidirectional pedestrian flow in a straight corridor using a floor field cellular automaton model, where a game-theoretical framework is exclusively introduced to deal with conflicts that multiple pedestrians are trying to move to the same target position. The pedestrians can behave as either cooperators or defectors, depending on whether they show gentle or aggressive in face of conflicts, respectively. When competing with cooperators, a defector always obtains a relatively greater payoff, characterizing the advantage of occupying the preferred vacant cell, while a reduced payoff factor δ is introduced for mutual defection due to the possible injuries by aggressiveness. We study how the pedestrian counterflow dynamics depends on δ, the corridor width W and the anticipation floor field parameter k _A. It is found that the average separation time of the pedestrians displays a resonance-like behavior as a function of δ, irrespective of the width of the corridor as long as jam does not happen. The way of dealing with conflicts has no qualitative effect on the lane formation, where the jam probability mainly depends on the parameters W and k _A as well as the pedestrian density. A large value of k _A means a strong tendency to avoid potential future collisions and suppress the overtaking motivation, but, at a cost, increases the average separation time of the two groups of pedestrians when the width of the corridor is not so narrow. Our results provide a meaningful perspective on the understanding of the process of lane formation and jam dissolution in the bidirectional pedestrian flow, and may shed light on designing policies to improve the efficiency of passing through.

中文翻译：

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地板场元胞自动机模型中的行人逆流与进化博弈

我们使用地板场元胞自动机模型研究直线走廊中的双向行人流，其中专门引入博弈论框架来处理多个行人试图移动到同一目标位置的冲突。行人可以表现得既可以是合作者也可以是叛逃者，这取决于他们在面对冲突时分别表现出温和还是攻击性。当与合作者竞争时，叛逃者总是获得相对较大的回报，其特征是占据首选空位的优势，同时减少回报因子δ由于攻击性可能造成的伤害而引入相互背叛。我们研究行人逆流动力学如何取决于δ, 走廊宽度W和预期地板场参数k _一个。发现行人的平均分离时间显示出类似共振的行为作为函数δ, 无论走廊的宽度如何，只要不发生堵塞即可。处理冲突的方式对车道形成没有质的影响，其中堵塞概率主要取决于参数W和k _A以及行人密度。一个很大的价值k _A意味着避免潜在的未来碰撞并抑制超车动机的强烈趋势，但是，当走廊的宽度不是那么窄时，以增加两组行人的平均分离时间为代价。我们的研究结果为理解双向行人流中的车道形成和拥堵消除过程提供了有意义的视角，并可能为设计提高通过效率的政策提供启示。