The solution is given here for the infinitely repeated two-person zero-sum,games of inr complete information characterized by 2 X 2 games, with information matrxces b for the ftrst game and( b ab)for the second game.

In this paper we consider sets of factors of a finite word which permit us to reconstruct the entire word. This analysis is based on the notion of box. The initial (resp. terminal) box of w is the shortest prefix (resp. suffix) of w which is an unrepeated factor. A factor u of w is a proper box if there are letters a, a′, b, b′ with a′ 6= a, b′ 6= b such that u = asb and a′s, sb′ are factors of...

We introduce a novel repeated Inverse Reinforcement Learning problem: the agent has to act on behalf of a human in a sequence of tasks and wishes to minimize the number of tasks that it surprises the human by acting suboptimally with respect to how the human would have acted. Each time the human is surprised, the agent is provided a demonstration of the desired behavior by the human. We formali...

We consider a quantum system interacting sequentially with elements of a chain of independent quantum subsystems. We treat two kinds of such repeated interaction systems: deterministic and random ones. In both cases we show that, under suitable conditions, the system approaches an asymptotic state in the large time limit, and we construct that state. Our methods are based on the analysis of pro...

We introduce a new methodological framework for repeatedly observed and thus dependent functional data, aiming at situations where curves are recorded repeatedly for each subject in a sample. Our methodology covers the case where the recordings of the curves are scheduled on a regular and dense grid and also situations more typical for longitudinal studies, where the timing of recordings is oft...

Background: Pregnancy is the process from the fertilized ovum to the fetus with capability of extra uterine survival. Pregnancy loss is the most common complication of pregnancies. Advances in the detection of early pregnancy revealed that about 70% of human conceptions fail to achieve viability but clinically recognized pregnancies terminate as a miscarriage in about 15% of cases. About 1 in 3...