适应性种群中的级联动力学转变
Cascades of Dynamical Transitions in an Adaptive Population
摘要：
在一个自适应的人口模型金融市场和分布式控制，我们考虑如何动态依赖于代理的初始偏好的策略的多样性。当多样性减少时，更多的代理人倾向于一起调整他们的策略。环境的这种变化导致从消失到非消失步长的动态转变。当多样性进一步降低，我们发现一个级联的动态过渡为不同的信号尺寸，支持模拟和理论之间的良好协议。此外，在稳态时最大步长的信号可能是初始信号。
英文摘要：
In an adaptive population which models financial markets and distributed control, we consider how the dynamics depends on the diversity of the agents' initial preferences of strategies. When the diversity decreases, more agents tend to adapt their strategies together. This change in the environment results in dynamical transitions from vanishing to non-vanishing step sizes. When the diversity decreases further, we find a cascade of dynamical transitions for the different signal dimensions, supported by good agreement between simulations and theory. Besides, the signal of the largest step size at the steady state is likely to be the initial signal.
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