老鼠赛跑的玩具模型
A Toy Model of the Rat Race
摘要：
我们引入了一个玩具模型的“老鼠赛跑”，其中个人试图更好地自己相对于其他人口。一个个体的特征是具有实值的适应性，每个个体都以恒定的速度前进，其数量取决于它在群体中的地位。领导者前进以保持领先于其最近的邻居，而所有其他人前进的量由到领导者的距离设置。一个丰富的动态发生作为尾随粒子的平均跳跃大小的函数。对于小的跳跃，领先者保持其位置，而对于大的跳跃，有很长一段时间的停滞，被爆炸性的进步和许多领先者的变化所打断。在这两种机制之间，代理人达到了共同的适应性，进化停止了。
英文摘要：
We introduce a toy model of the "rat race" in which individuals try to better themselves relative to the rest of the population. An individual is characterized by a real-valued fitness and each advances at a constant rate by an amount that depends on its standing in the population. The leader advances to remain ahead of its nearest neighbor, while all others advance by an amount that is set by the distance to the leader. A rich dynamics occurs as a function of the mean jump size of the trailing particles. For small jumps, the leader maintains its position, while for large jumps, there are long periods of stasis that are punctuated by episodes of explosive advancement and many lead changes. Intermediate to these two regimes, agents reach a common fitness and evolution grinds to a halt.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
