The subject of the present paper is a simplified model for a symmetric bistable system with memory or delay, the reference model, which in the presence of noise exhibits a phenomenon similar to what is known as stochastic resonance. The reference model is given by a one dimensional parametrized...

This paper analyzes the effect of the removal of government guarantees on bank risk taking. We exploit the removal of guarantees for German Landesbanken which results in lower credit ratings, higher funding costs, and a loss in franchise value. This removal was announced in 2001, but...

This paper analyzes the effect of the removal of government guarantees on bank risk taking. We exploit the removal of guarantees for German Landesbanken which results in lower credit ratings, higher funding costs, and a loss in franchise value. This removal was announced in 2001, but...

We study mean field games with scalar It^o-type dynamics and costs that are submodular with respect to a suitable order relation on the state and measure space. The submodularity assumption has a number of interesting consequences. Firstly, it allows us to prove existence of solutions via an...

We provide an abstract framework for submodular mean field games and identify verifiable sufficient conditions that allow to prove existence and approximation of strong mean field equilibria in models where data may not be continuous with respect to the measure parameter and common noise is...

Bis zum Auftreten der ersten Versicherungen prägten zwei Verhaltensweisen die Bewältigung von Elementarereignissen: Einerseits wurden die Leistungen auf freiwilliger Basis erbracht, andererseits kamen die Solidaritätsleistungen immer erst nach dem Eintritt der verheerenden Naturereignisse...

Staaten gewähren Banken oft Garantien, um den Zusammenbruch des Finanzsystems zu verhindern. Diese Garantien müssen aber sobald wie möglich wieder zurückgenommen werden. Zuvor sollten jedoch die möglichen Auswirkungen der Abschaffung einer Garantie untersucht werden. Die so gewonnenen...

As a main step in the numerical solution of control problems in continous time, the controlled process is approximated by sequences of controlled Markov chains, thus discretizing time and space. A new feature in this context is to allow for delay in the dynamics. The existence of an optimal...

We consider the optimal stopping problem with non-linear f-expectation (induced by a BSDE) without making any regularity assumptions on the reward process xi. We show that the value family can be aggregated by an optional process Y . We characterize the process Y as the Ef-Snell envelope of xi....

We formulate a notion of doubly reflected BSDE in the case where the barriers xi and zeta do not satisfy any regularity assumption. Under a technical assumption (a Mokobodzki-type condition), we show existence and uniqueness of the solution. In the case where xi is right upper-semicontinuous and...