论文标题
多维时间固定停止问题的最佳平衡
Optimal Equilibria for Multi-dimensional Time-inconsistent Stopping Problems
论文作者
论文摘要
我们研究了在非指数折扣下的最佳停止问题，其中状态过程是多维连续强的马尔可夫过程。折扣功能被视为对数次添加，从而捕获了行为经济学的不耐烦。关于概率潜在理论的强度，我们在足够大的平衡集合中建立了最佳平衡，由满足边界条件的精细封闭平衡组成。这概括了一维文献中的一维停止问题的最佳平衡。
We study an optimal stopping problem under non-exponential discounting, where the state process is a multi-dimensional continuous strong Markov process. The discount function is taken to be log sub-additive, capturing decreasing impatience in behavioral economics. On strength of probabilistic potential theory, we establish the existence of an optimal equilibrium among a sufficiently large collection of equilibria, consisting of finely closed equilibria satisfying a boundary condition. This generalizes the existence of optimal equilibria for one-dimensional stopping problems in prior literature.
