Information Percolation
研究大型市场中共同利益信息如何通过代理人之间的相遇和揭示随时间“渗流”,给出了后验信念横截面分布的显式解,并证明收敛速度仅取决于个体匹配的平均速率。
We study the “percolation” of information of common interest through a large market as agents encounter and reveal information to each other over time. We provide an explicit solution for the dynamics of the cross-sectional distribution of posterior beliefs. We also show that convergence of the cross-sectional distribution of beliefs to a common posterior is exponential and that the rate of convergence does not depend on the size of the groups of agents that meet. The rate of convergence is merely the mean rate at which an individual agent is matched.