Optimal Multiple Stopping with Random Waiting Times
Journal article, 2013

In the standard models for optimal multiple stopping problems it is assumed that between two exercises there is always a time period of deterministic length δ, the so-called refraction period. This prevents the optimal exercise times from bunching up together on top of the optimal stopping time for the one-exercise case. In this article we generalize the standard model by considering random refraction times. We develop the theory and reduce the problem to a sequence of ordinary stopping problems, thus extending the results for deterministic times. This requires an extension of the underlying filtrations in general. Furthermore, we consider the Markovian case and treat an example explicitly. © 2013 Copyright Taylor and Francis Group, LLC.

Random waiting times

Swing options

Optimal multiple stopping

Author

Sören Christensen

A. Irle

S. Jürgens

Sequential Analysis

0747-4946 (ISSN) 15324176 (eISSN)

Vol. 32 3 297-318

Subject Categories

Probability Theory and Statistics

DOI

10.1080/07474946.2013.803814

More information

Created

10/10/2017