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arXiv 0705.4025q-fin.TRphysics.soc-ph
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一个基于Agent模型的随机分析

Stochastic analysis of an agent-based model

A. Veglio, M. Marsili

摘要:

我们分析了一个预测游戏,表现出的信息级联现象的动态。每个代理的目标是正确预测一个二元变量,他/她可以寻找独立的信息或羊群的选择。我们表明,动力学可以分析描述的朗之万方程和它的集体行为描述的Kramers问题的解决方案。这提供了非常准确的结果,在该地区的绝大多数代理羊群,这对应于最有趣的一个从博弈论的角度来看。

英文摘要:

We analyze the dynamics of a forecasting game which exhibits the phenomenon of information cascades. Each agent aims at correctly predicting a binary variable and he/she can either look for independent information or herd on the choice of others. We show that dynamics can be analitically described in terms of a Langevin equation and its collective behavior is described by the solution of a Kramers' problem. This provides very accurate results in the region where the vast majority of agents herd, which corresponds to the most interesting one from a game theoretic point of view.

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。

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