Optimal variance stopping with linear diffusions
Research output: Contribution to journal › Journal article › Research › peer-review
We study the optimal stopping problem of maximizing the variance of an unkilled linear diffusion. Especially, we demonstrate how the problem can be solved as a convex two-player zero-sum game, and reveal quite surprising application of game theory by doing so. Our main result shows that an optimal solution can, in a general case, be found among stopping times that are mixtures of two hitting times. This and other revealed phenomena together with suggested solution methods could be helpful when facing more complex non-linear optimal stopping problems. The results are illustrated by a few examples.
Original language | English |
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Journal | Stochastic Processes and Their Applications |
Volume | 130 |
Issue number | 4 |
Pages (from-to) | 2349-2383 |
ISSN | 0304-4149 |
DOIs | |
Publication status | Published - 2020 |
Bibliographical note
Publisher Copyright:
© 2019 Elsevier B.V.
- Infinite zero-sum game, Linear diffusion, Non-linear optimal stopping, Optimal stopping, Variance
Research areas
Links
- https://arxiv.org/pdf/1612.09167.pdf
Accepted author manuscript
ID: 269517534