5 papers
A class of singular control problems with tipping points
Jean-Paul Décamps, Fabien Gensbittel, Thomas Mariotti +1
Tipping points characterize situations where a regulated system may experience a sudden and irreversible change and are generally associated with a random state of the system below…
Well-posedness of McKean-Vlasov SDEs with density-dependent drift
Anh-Dung Le, Stéphane Villeneuve
In this paper, we study well-posedness of McKean-Vlasov stochastic differential equations (SDE) whose drift depends pointwisely on marginal density and satisfies a local integrabil…
Nash equilibria for dividend distribution with competition
Tiziano De Angelis, Fabien Gensbittel, Stéphane Villeneuve
We construct Nash equilibria in feedback form for a class of two-person stochastic games of singular control with absorption, arising from a stylized model for corporate finance. M…
Freidlin-Wentzell type exit-time estimates for time-inhomogeneous diffusions and their applications
Ashot Aleksian, Stéphane Villeneuve
This paper investigates the exit-time problem for time-inhomogeneous diffusion processes. The focus is on the small-noise behavior of the exit time from a bounded positively invari…
A Stochastic Non-Zero-Sum Game of Controlling the Debt-to-GDP Ratio
Felix Dammann, Neofytos Rodosthenous, Stéphane Villeneuve
We introduce a non-zero-sum game between a government and a legislative body to study the optimal level of debt. Each player, with different time preferences, can intervene on the…