英文标题：
《Nonlocal Solutions to Dynamic Equilibrium Models: The Approximate Stable
  Manifolds Approach》
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作者：
Viktors Ajevskis
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最新提交年份：
2015
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英文摘要：
  This study presents a method for constructing a sequence of approximate solutions of increasing accuracy to general equilibrium models on nonlocal domains. The method is based on a technique originated from dynamical systems theory. The approximate solutions are constructed employing the Contraction Mapping Theorem and the fact that solutions to general equilibrium models converge to a steady state. The approach allows deriving the a priori and a posteriori approximation errors of the solutions. Under certain nonlocal conditions we prove the convergence of the approximate solutions to the true solution and hence the Stable Manifold Theorem. We also show that the proposed approach can be treated as a rigorous proof of convergence for the extended path algorithm to the true solution in a class of nonlinear rational expectation models.
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中文摘要：
本研究提出了一种构造非局部区域上一般平衡模型的近似解序列的方法，以提高其精度。该方法基于一种源于动力系统理论的技术。利用压缩映射定理和一般平衡模型的解收敛于稳态的事实构造了近似解。该方法允许导出解的先验和后验近似误差。在某些非局部条件下，我们证明了近似解收敛于真解，从而证明了稳定流形定理。我们还证明了在一类非线性理性期望模型中，所提出的方法可以作为扩展路径算法收敛于真解的严格证明。
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分类信息：

一级分类：Quantitative Finance        数量金融学
二级分类：Economics        经济学
分类描述：q-fin.EC is an alias for econ.GN. Economics, including micro and macro economics, international economics, theory of the firm, labor economics, and other economic topics outside finance
q-fin.ec是econ.gn的别名。经济学，包括微观和宏观经济学、国际经济学、企业理论、劳动经济学和其他金融以外的经济专题
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一级分类：Mathematics        数学
二级分类：Dynamical Systems        动力系统
分类描述：Dynamics of differential equations and flows, mechanics, classical few-body problems, iterations, complex dynamics, delayed differential equations
微分方程和流动的动力学，力学，经典的少体问题，迭代，复杂动力学，延迟微分方程
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一级分类：Quantitative Finance        数量金融学
二级分类：Computational Finance        计算金融学
分类描述：Computational methods, including Monte Carlo, PDE, lattice and other numerical methods with applications to financial modeling
计算方法，包括蒙特卡罗，偏微分方程，格子和其他数值方法，并应用于金融建模
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