Séminaire_1_octobre

Wissal Sabbagh (Le Mans Université)

Le 1 octobre 2024

Cyber risk management with impulse control. 

Abstract:

Cyber risk is a major concern for public entities and private companies, and constitutes a systemic threat to the resilience of the financial and economic world. In fact, 1 % of the world’s GDP,

or 1, 000 billion, goes up every year because of cyber-crime. Cyberattacks are now the biggest threat to the financial system, says Jerome Powell, Chairman of the Federal Reserve global. In this talk,

we develop a first study in which a cluster owner aims to protect a computer network by regularly updating or by purchasing security software against cyber-attacks. On the one hand, not protecting

the computer network induces non-negligible financial losses for the owner of the cluster. On the other hand, cyber attacks can infect the network and lead to significant cyber incidents for the cluster owner

and the customers of the service provided. First, we characterize the optimal protection policy for a network against effective hacking taken as a worst-case scenario. Based on an epidemiological model, we

determine the optimal (dynamic) protection strategy, as a function of the evolution of attack strategies and the network’s level of infection. Then, we solve optimization problems by using deep learning methods

to approximate a system of fully coupled equations. Joint work with C. Hillairet and T. Mastrolia.