We consider a Bayesian game, namely the Battle of the Sexes with private information, in which each player has two types, High and Low. We allow cheap talk regarding players’ types before the game and prove that the unique fully revealing symmetric cheap talk equilibrium exists for a low range of prior probability of the High-type. This equilibrium has a desirable type-coordination property : i...

We associate to each discrete partial dynamical system a universal C-algebra generated by partial isometries satisfying relations given by a Boolean algebra connected to the discrete partial dynamical system in question. We show that for symbolic dynamical systems like one-sided and two-sided shift spaces and topological Markov chains with an arbitrary state space the C-algebras usually associa...

When researching issues of ensuring the specified reliability information and communication network equipment, an important direction is development effective methods for assessing intensity failures their impact on processes functioning. Solving problems assessment may face uncertainty source due to limited possibility obtaining a large number studies random variables that determine reliabilit...