Abstract This paper gives a new approach to show the existence and regularity of linear equilibrium established by Lou ⓡ al. (2019) for a noisy rational expectations economy. Different from the existing method which essentially requires to find a fixed point of a system of nonlinear algebraic equations, the new approach is operated directly on an alternative form of market-clearing conditions. One main advantage of the new approach is that besides homogeneous-valuation economies, it can also handle the existence of equilibrium in economies with heterogeneous valuations where the existing method for dealing with homogeneous-valuation economies fails to work.

中文翻译：

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嘈杂理性预期经济中线性均衡的存在性和规律性的新方法

摘要 本文给出了一种新的方法来证明由Lou ⓡ al 建立的线性均衡的存在性和规律性。（2019）对于嘈杂的理性预期经济。与现有方法本质上需要找到非线性代数方程组的不动点不同，新方法直接在市场出清条件的替代形式上运行。新方法的一个主要优点是，除了同质估值经济体之外，它还可以处理具有异质估值​​的经济体中存在的均衡，而现有的处理同质估值经济体的方法无法奏效。