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The Investigation of a Wealth Distribution Model on Isolated Discrete Time Domains

机译:孤立离散时域下的财富分配模型研究

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摘要

A wealth distribution model on isolated discrete time domains, which allows the wealth to exchange at irregular time intervals, is used to describe the effect of agent's trading behavior on wealth distribution. We assume that the agents have different degrees of risk aversion. The hyperbolic absolute risk aversion (HARA) utility function is employed to describe the degrees of risk aversion of agents, including decreasing relative risk aversion (DRRA), increasing relative risk aversion (IRRA), and constant relative risk aversion (CRRA). The effect of agent's expectation on wealth distribution is taken into account in our wealth distribution model, in which the agents are allowed to adopt certain trading strategies to maximize their utility and improve their wealth status. The Euler equation and transversality condition for the model on isolated discrete time domains are given to prove the existence of the optimal solution of the model. The optimal solution of the wealth distribution model is obtained by using the method of solving the rational expectation model on isolated discrete time domains. A numerical example is given to highlight the advantages of the wealth distribution model.
机译:在孤立的离散时域上建立财富分配模型,该模型允许财富在不规则的时间间隔内进行交换,该模型描述了智能体的交易行为对财富分配的影响。我们假设代理具有不同程度的风险厌恶。采用双曲线绝对风险厌恶(HARA)效用函数描述主体的风险厌恶程度,包括相对风险厌恶降低(DRRA)、相对风险厌恶增加(IRRA)和恒定相对风险厌恶(CRRA)。在我们的财富分配模型中考虑了代理人的期望对财富分配的影响,在这种模型中,代理人被允许采用一定的交易策略来最大化其效用并改善其财富状况。给出了模型在孤立离散时域上的欧拉方程和横向条件,证明了模型最优解的存在性。采用在孤立离散时域上求解有理期望模型的方法,得到了财富分配模型的最优解。通过数值算例,重点阐述了财富分配模型的优势。

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