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Bibliographic Details
Main Authors: Jin, Hanqing, Yang, Yanzhao
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2601.23187
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author Jin, Hanqing
Yang, Yanzhao
author_facet Jin, Hanqing
Yang, Yanzhao
contents In this paper, we propose a new framework for solving a general dynamic optimal stopping problem without time consistency. A sophisticated solution is proposed and is well-defined for any time setting with general flows of objectives. A backward iteration is proposed to find the solution. The iteration works with an additional condition, which holds in interesting cases including the time inconsistency arising from non-exponential discounting. Even if the iteration does not work, the equilibrium solution can still be studied by a forward definition.
format Preprint
id arxiv_https___arxiv_org_abs_2601_23187
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle General Optimal Stopping without Time Consistency
Jin, Hanqing
Yang, Yanzhao
Optimization and Control
60G40, 91B06
In this paper, we propose a new framework for solving a general dynamic optimal stopping problem without time consistency. A sophisticated solution is proposed and is well-defined for any time setting with general flows of objectives. A backward iteration is proposed to find the solution. The iteration works with an additional condition, which holds in interesting cases including the time inconsistency arising from non-exponential discounting. Even if the iteration does not work, the equilibrium solution can still be studied by a forward definition.
title General Optimal Stopping without Time Consistency
topic Optimization and Control
60G40, 91B06
url https://arxiv.org/abs/2601.23187