Featured Application The importance of generative adversarial networks (GANs) in economics is growing and is driven by successes in other fields. Many economic problems …
In this paper, we present a duality theory for the robust utility maximisation problem in continuous time for utility functions defined on the positive real line. Our results are inspired …
A Neufeld, J Sester, M Šikić - Mathematical Finance, 2023 - Wiley Online Library
We introduce a general framework for Markov decision problems under model uncertainty in a discrete‐time infinite horizon setting. By providing a dynamic programming principle, we …
H Yoshioka, Y Yoshioka - Optimization and Engineering, 2023 - Springer
Management of river environment requires to assess streamflows and water quality dynamics, which are often stochastic as well as not easy to model without errors. A new …
This paper studies a variation of the continuous-time mean-variance portfolio selection where a tracking-error penalization is added to the mean-variance criterion. The tracking …
This paper studies a portfolio allocation problem, where the goal is to reach a prescribed wealth distribution at a final time. We study this problem with the tools of optimal mass …
This paper contributes to the economics of AI by exploring three topics neglected by economists:(i) the notion of a Singularity (and Singleton),(ii) the existential risks that AI may …
T Chen, M Ludkovski - SIAM Journal on Financial Mathematics, 2021 - SIAM
We investigate the adaptive robust control framework for portfolio optimization and loss- based hedging under drift and volatility uncertainty. Adaptive robust problems offer many …
H Lalioui, AB Amar, M Bellalah - arXiv preprint arXiv:2501.11983, 2025 - arxiv.org
This paper provides a closed-form market equilibrium formula consolidating informational imperfections and investors' beliefs about assets. Based on Merton's incomplete information …