4 papers
Absolute continuity of Rosenblatt measures
Petr Äoupek, Tyrone E. Duncan, Bozenna Pasik-Duncan +1
In the article, we address the problem of absolute continuity of translated Rosenblatt measures on the path space. In [Äoupek, P., KÅÞ, P., Maslowski, B., Stoch. Proc. Appl. 1…
Mean-Field-Type Game Theory with Rosenblatt Noise
Hamidou Tembine, Tyrone E. Duncan, Bozenna Pasik-Duncan
We study the integration of Rosenblatt noise into stochastic systems, control theory, and mean-field-type game theory, addressing the limitations of traditional Gaussian and Markov…
Semi-Explicit Solution of Some Discrete-Time Higher-Order-Cost Mean-Field-Type Control
Julian Barreiro-Gomez, Tyrone E. Duncan, Bozenna Pasik-Duncan +1
Traditional solvable optimal control theory predominantly focuses on quadratic costs due to their analytical tractability, yet they often fail to capture critical non-linearities i…
Semi-Explicit Solution of Some Discrete-Time Mean-Field-Type Games with Higher-Order Costs
Julian Barreiro-Gomez, Tyrone E. Duncan, Bozenna Pasik-Duncan +1
Traditional solvable game theory and mean-field-type game theory (risk-aware games) predominantly focus on quadratic costs due to their analytical tractability. Nevertheless, they…