论文标题

部分随机平衡模型及其限制行为

A partial stochastic equilibrium model and its limiting behaviour

论文作者

Prosperi, Alessandro

论文摘要

在完整的,有限的代理市场设置中,证明了(部分)市场均衡价格的存在。经济代理商在完全竞争的环境中充当了价格收入,并最大程度地利用了终极财富的指数效用。随着经济代理商的数量$ n $变为Infinity,$ n $方程的BSDE系统表征了均衡资产价格动力学的脱离。由于系统的对称性,有条件地对公共噪声的平均场的影响成为确定性。

The existence of a (partial) market equilibrium price is proved in a complete, continuous time finite-agent market setting. The economic agents act as price takers in a fully competitive setting and maximize exponential utility from terminal wealth. As the number $N$ of economic agents goes to infinity, the BSDE system of $N$ equations characterizing the equilibrium asset price dynamics decouples. Due to the system's symmetry, the influence of the mean field of the agents, conditionally on the common noise, becomes deterministic.

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