[HTML][HTML] BSDEs with jumps, optimization and applications to dynamic risk measures

MC Quenez, A Sulem - Stochastic Processes and their Applications, 2013 - Elsevier
In the Brownian case, the links between dynamic risk measures and BSDEs have been
widely studied. In this paper, we consider the case with jumps. We first study the properties …

Sensitivity of robust optimization problems under drift and volatility uncertainty

D Bartl, A Neufeld, K Park - arXiv preprint arXiv:2311.11248, 2023 - arxiv.org
We examine optimization problems in which an investor has the opportunity to trade in $ d $
stocks with the goal of maximizing her worst-case cost of cumulative gains and losses. Here …

[HTML][HTML] Reflected BSDEs and robust optimal stopping for dynamic risk measures with jumps

MC Quenez, A Sulem - Stochastic Processes and their Applications, 2014 - Elsevier
We study the optimal stopping problem for dynamic risk measures represented by Backward
Stochastic Differential Equations (BSDEs) with jumps and its relation with reflected BSDEs …

Optimal stopping under ambiguity in continuous time

X Cheng, F Riedel - Mathematics and Financial Economics, 2013 - Springer
We develop a theory of optimal stopping problems under ambiguity in continuous time.
Using results from (backward) stochastic calculus, we characterize the value function as the …

Optimal stopping under adverse nonlinear expectation and related games

M Nutz, J Zhang - 2015 - projecteuclid.org
We study the existence of optimal actions in a zero-sum game τPE^PX_τ between a stopper
and a controller choosing a probability measure. This includes the optimal stopping problem …

[HTML][HTML] Optimal stopping with f-expectations: the irregular case

M Grigorova, P Imkeller, Y Ouknine… - Stochastic Processes and …, 2020 - Elsevier
We consider the optimal stopping problem with non-linear f-expectation (induced by a
BSDE) without making any regularity assumptions on the payoff process ξ and in the case of …

On the multidimensional controller-and-stopper games

E Bayraktar, YJ Huang - SIAM Journal on Control and Optimization, 2013 - SIAM
We consider a zero-sum stochastic differential controller-and-stopper game in which the
state process is a controlled diffusion evolving in a multidimensional Euclidean space. In this …

Robust Retirement with Return Ambiguity: Optimal -Stopping Time in Dual Space

K Park, HY Wong - SIAM Journal on Control and Optimization, 2023 - SIAM
Consider a robust retirement decision problem for a risk-and ambiguity-averse investor
concerned about return ambiguity in risky asset prices. When the investor aims to maximize …

Optimal stopping under model ambiguity: A time‐consistent equilibrium approach

YJ Huang, X Yu - Mathematical finance, 2021 - Wiley Online Library
An unconventional approach for optimal stopping under model ambiguity is introduced.
Besides ambiguity itself, we take into account how ambiguity‐averse an agent is. This …

Robust multiple stopping—A duality approach

RJA Laeven, JGM Schoenmakers… - Mathematics of …, 2024 - pubsonline.informs.org
We develop a method to solve, theoretically and numerically, general optimal stopping
problems. Our general setting allows for multiple exercise rights—that is, optimal multiple …