英文标题：
《Necessary and Sufficient Conditions for Existence and Uniqueness of
Recursive Utilities》
---
作者：
Jaroslav Borovicka and John Stachurski
---
最新提交年份：
2019
---
英文摘要：
We study existence, uniqueness and computability of solutions for a class of discrete time recursive utilities models. By combining two streams of the recent literature on recursive preferences---one that analyzes principal eigenvalues of valuation operators and another that exploits the theory of monotone concave operators---we obtain conditions that are both necessary and sufficient for existence and uniqueness of solutions. We also show that the natural iterative algorithm is convergent if and only if a solution exists. Consumption processes are allowed to be nonstationary.
---
中文摘要：
研究了一类离散时间递归效用模型解的存在性、唯一性和可计算性。通过结合最近关于递归偏好的两组文献——一组分析估值算子的主特征值，另一组利用单调凹算子理论——我们得到了解的存在唯一性的充分必要条件。我们还证明了自然迭代算法是收敛的当且仅当解存在时。允许消费过程是非平稳的。
---
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
--
一级分类：Mathematics 数学
二级分类：Optimization and Control 优化与控制
分类描述：Operations research, linear programming, control theory, systems theory, optimal control, game theory
运筹学，线性规划，控制论，系统论，最优控制，博弈论
--

---
PDF下载：
-->