双向流中的协调博弈
Coordination game in bidirectional flow
摘要：
将演化博弈动力学引入一维元胞自动机模型中，研究了自驱动粒子在双向流中的合作回避行为的演化和维持。在我们的模型中，有两种粒子，即向右运动的粒子和向左运动的粒子。他们经常面对对手粒子，所以他们转向右或左随机，以避免冲突。粒子在成功回避后，强化了对转向的偏好。记忆丧失效应也会削弱这种偏好。仿真结果表明，该方法实现了协同避碰行为，即，当粒子密度接近1/2时，记忆损失率较小，粒子的转向是统一的。此外，当向右运动的粒子占据系统的大部分时，我们观察到，当阻止向右运动的粒子的平滑运动的向左运动的粒子的数量变大时，它们的流量增加。研究还表明，合作回避行为的临界记忆丢失率强烈依赖于系统的规模。小系统比大系统能在更大的记忆丢失率范围内延长合作回避行为。
英文摘要：
We have introduced evolutionary game dynamics to a one-dimensional cellular-automaton to investigate evolution and maintenance of cooperative avoiding behavior of self-driven particles in bidirectional flow. In our model, there are two kinds of particles, which are right-going particles and left-going particles. They often face opponent particles, so that they swerve to the right or left stochastically in order to avoid conflicts. The particles reinforce their preferences of the swerving direction after their successful avoidance. The preference is also weakened by memory-loss effect. Result of our simulation indicates that cooperative avoiding behavior is achieved, i.e., swerving directions of the particles are unified, when the density of particles is close to 1/2 and the memory-loss rate is small. Furthermore, when the right-going particles occupy the majority of the system, we observe that their flow increases when the number of left-going particles, which prevent the smooth movement of right-going particles, becomes large. It is also investigated that the critical memory-loss rate of the cooperative avoiding behavior strongly depends on the size of the system. Small system can prolong the cooperative avoiding behavior in wider range of memory-loss rate than large system.
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