Portfolio diversification and model uncertainty: A robust dynamic mean‐variance approach

H Pham, X Wei, C Zhou - Mathematical Finance, 2022 - Wiley Online Library
This paper focuses on a dynamic multi‐asset mean‐variance portfolio selection problem
under model uncertainty. We develop a continuous time framework for taking into account …

Distributionally robust Markov decision processes and their connection to risk measures

N Bäuerle, A Glauner - Mathematics of Operations Research, 2022 - pubsonline.informs.org
We consider robust Markov decision processes with Borel state and action spaces,
unbounded cost, and finite time horizon. Our formulation leads to a Stackelberg game …

Distributionally robust portfolio maximization and marginal utility pricing in one period financial markets

J Obłój, J Wiesel - Mathematical Finance, 2021 - Wiley Online Library
We consider the optimal investment and marginal utility pricing problem of a risk averse
agent and quantify their exposure to model uncertainty. Specifically, we compute explicitly …

Nonparametric learning for impulse control problems—Exploration vs. exploitation

S Christensen, C Strauch - The Annals of Applied Probability, 2023 - projecteuclid.org
One of the fundamental assumptions in stochastic control of continuous time processes is
that the dynamics of the underlying (diffusion) process is known. This is, however, usually …

Forward robust portfolio selection: The binomial case

H Waldon - Probability, Uncertainty and Quantitative Risk, 2024 - aimsciences.org
We introduce a new approach for optimal portfolio choice under model ambiguity by
incorporating predictable forward preferences in the framework of Angoshtari et al.[2]. The …

Parameter estimation and an extended predictive-based tuning method for a lab-scale distillation column

ES Yadav, T Indiran, SS Priya, G Fedele - ACS omega, 2019 - ACS Publications
The present study proposes a new PI controller tuning method using extended predictive
control (EPC). The PI controller parameter values are calculated using the EPC controller …

Long-run risk-sensitive impulse control

D Jelito, M Pitera, Ł Stettner - SIAM Journal on Control and Optimization, 2020 - SIAM
In this paper we consider long-run risk-sensitive average cost impulse control applied to a
continuous-time Feller--Markov process. Using the probabilistic approach, we show how to …

Contract theory in a VUCA world

N Hernandez-Santibanez, T Mastrolia - SIAM Journal on Control and …, 2019 - SIAM
In this paper we investigate a Principal-Agent problem with moral hazard under Knightian
uncertainty. We extend the seminal framework of Holmström and Milgrom by combining a …

Recursive construction of confidence regions

T Bielecki, T Chen, I Cialenco - 2017 - projecteuclid.org
Assuming that one-step transition kernel of a discrete time, time-homogenous Markov chain
model is parameterized by a parameter θ∈Θ, we derive a recursive (in time) construction of …

On parametric optimal execution and machine learning surrogates

T Chen, M Ludkovski, M Voß - Quantitative Finance, 2024 - Taylor & Francis
We investigate optimal order execution problems in discrete time with instantaneous price
impact and stochastic resilience. First, in the setting of linear transient price impact we derive …