Infinite horizon stopping problems with (nearly) total reward criteria

Citations of this article
Mendeley users who have this article in their library.


We study an infinite horizon optimal stopping Markov problem which is either undiscounted (total reward) or with a general Markovian discount rate. Using ergodic properties of the underlying Markov process, we establish the feasibility of the stopping problem and prove the existence of optimal and ε-optimal stopping times. We show the continuity of the value function and its variational characterisation (in the viscosity sense) under different sets of assumptions satisfied by large classes of diffusion and jump-diffusion processes. In the case of a general discounted problem we relax a classical assumption that the discount rate is uniformly separated from zero. © 2014 Elsevier B.V. All rights reserved.




Palczewski, J., & Stettner, Ł. (2014). Infinite horizon stopping problems with (nearly) total reward criteria. Stochastic Processes and Their Applications, 124(12), 3887–3920.

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free