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arXiv 2408.09642econ.GNcs.NAmath.NAmath.OCq-fin.EC
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求解随机气候-经济模型:一种深度最小二乘蒙特卡洛方法

Solving stochastic climate-economy models: A deep least-squares Monte Carlo approach

ETH Zurich(苏黎世联邦理工学院);Vienna University of Economics and Business(维也纳经济与商业大学);Macquarie University(麦考瑞大学);Institute of Statistical Mathematics(统计数学研究所);Norwegian University of Science and Technology(挪威科技大学)

Aleksandar Arandjelović, Pavel V. Shevchenko, Tomoko Matsui, Daisuke Murakami, Tor A. Myrvoll

AI总结:

本文提出一种深度最小二乘蒙特卡洛方法,用于求解具有高维性和复杂性的随机气候-经济模型,以高效推导最优政策。

摘要:

随机递归整合气候-经济评估模型的随机版本对于在不确定性下研究和量化政策决策至关重要。然而,随着状态变量和随机冲击数量的增加,通过确定性网格动态规划(例如,价值函数迭代/在连续状态变量上离散化的网格上进行投影,通常与离散化的冲击相结合)来解决这些模型变得计算上不可行,需要基于模拟的方法。最小二乘蒙特卡洛(LSMC)方法已成为量化金融中求解最优随机控制问题的流行方法。在本文中,我们将LSMC方法的应用扩展到随机气候-经济模型。我们通过具有五个关键不确定性来源的随机DICE模型的示例来展示这种方法。为了应对这些模型的复杂性和高维性,我们在LSMC框架中用深度神经网络近似代替传统的回归技术。我们的结果表明,深度LSMC方法可以有效地为存在不确定性的气候-经济模型推导出最优政策。

英文摘要:

Stochastic versions of recursive integrated climate-economy assessment models are essential for studying and quantifying policy decisions under uncertainty. However, as the number of state variables and stochastic shocks increases, solving these models via deterministic grid-based dynamic programming (e.g., value-function iteration / projection on a discretized grid over continuous state variables, typically coupled with discretized shocks) becomes computationally infeasible, and simulation-based methods are needed. The least-squares Monte Carlo (LSMC) method has become popular for solving optimal stochastic control problems in quantitative finance. In this paper, we extend the application of the LSMC method to stochastic climate-economy models. We exemplify this approach using a stochastic version of the DICE model with five key uncertainty sources highlighted in the literature. To address the complexity and high dimensionality of these models, we incorporate deep neural network approximations in place of standard regression techniques within the LSMC framework. Our results demonstrate that the deep LSMC method can be used to efficiently derive optimal policies for climate-economy models in the presence of uncertainty.

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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