8 papers
Optimal Impulse Control for Cyber Risk Management
Caroline Hillairet, Thibaut Mastrolia, Wissal Sabbagh
We explore an optimal impulse control problem wherein an electronic device owner strategically calibrates protection levels against cyber attacks. Utilizing epidemiological compart…
Optimal investment and Pension policy in Pay-As-You-Go systems under forward utility and ageing population
Jennifer Alonso-Garcia, Caroline Hillairet, Sarah Kaakai +1
This paper investigates optimal investment and pension policies in a Pay-As-You-Go (PAYG) system supplemented by a buffer fund used as an intergenerational risk-sharing mechanism.…
A stochastic SIR model for cyber contagion: application to granular growth of firms and to insurance portfolio
Caroline Hillairet, Olivier Lopez, Lionel Sopgoui
This work evaluates the impact of contagious cyber-events, over a finite horizon, on firms' financial health and on a cyber insurance portfolio. Our approach builds on key empirica…
A stochastic Gordon-Loeb model for optimal cybersecurity investment under clustered attacks
Giorgia Callegaro, Claudio Fontana, Caroline Hillairet +1
We develop a continuous-time stochastic model for optimal cybersecurity investment under the threat of cyberattacks. The arrival of attacks is modeled using a Hawkes process, captu…
Disaster Risk Financing through Taxation: A Framework for Regional Participation in Collective Risk-Sharing
Fallou Niakh, Arthur Charpentier, Caroline Hillairet +1
We consider an economy composed of different risk profile regions wishing to be hedged against a disaster risk using multi-region catastrophe insurance. Such catastrophic events in…
Multivariate Self-Exciting Processes with Dependencies
Caroline Hillairet, Thomas Peyrat, Anthony Réveillac
This paper introduces the class of multidimensional self-exciting processes with dependencies (MSPD), which is a unifying writing for a large class of processes: counting, loss, in…