Compared to adults, relatively little is known about autobiographical memory and the ability to imagine fictitious and future scenarios in school-aged children, despite the importance of these functions for development and subsequent independent living. Even less is understood about the effect of early hippocampal damage on children's memory and imagination abilities. To bridge this gap, we dev...

The classical Merton’s problem of utility maximization was recently solved in [2] in a market consisting of a bond with constant interest rate, a stock that follows a geometric Lévy model, and certain “fictitious” stocks called powerjump assets. Using their previous work [3] on the completeness of such a market and the martingale method, it was proved there that for certain utility functions, i...

Deficits in recalling the past and imagining fictitious and future scenarios have been documented in patients with hippocampal damage and amnesia that was acquired in adulthood. By contrast patients with very early hippocampal damage and developmental amnesia are not impaired relative to control participants when imagining fictitious/future experiences. Recently, however, a patient (HC) with de...

We present a novel variant of fictitious play dynamics combining classical with $Q$-learning for stochastic games and analyze its convergence properties in two-player zero-sum games. Our involves players forming beliefs on the opponent strategy their own continuation payoff ($Q$-function), playing greedy best response by using estimated payoffs. Players update from observations actions. A key p...

Background The flow of suspensions through channel bifurcations is a relevant topic in several applications such as microfluidics and biology. Indeed, a number of microfluidic devices consisting of a main channel with several side branches, aimed at separating particles with different size, has been proposed [1–4]. From the biological side, the microcirculatory network is made of many capillary...