In this paper, we investigate the mean field games of N agents who are weakly coupled via the empirical measures. The underlying dynamics of the representative agent is assumed to be a controlled nonlinear diffusion process with variable coefficients. We show that individual optimal strategies...

We prove that for any equilibrium of a (Bayesian) game, and any sequence of perturbations of that game, there exists a corresponding sequence of ex-ante ε-equilibria converging to the given equilibrium of the original game. We strengthen the conclusion to show that the approaching equilibria...

We study a one-dimensional stochastic motion of a tagged hard point moving among mechanically identical particles. At the initial moment the tagged particle is at rest separating two equal subvolumes L of gases at different in general thermal equilibrium states. Its further evolution is entirely...

Collisions of two degenerate quark Fermi liquids are studied. It is shown that there arise instabilities, which manifest themselves in propagation of growing oscillations corresponding to the modes existing in a Fermi liquid at rest. Quark jets are likely to appear in the directions of the...

A new kinetic equation for dense gases and liquids with the interparticle potential of interaction in a form of the multistep function is proposed. The equation is consistently derived on the basis of Zubarev's nonequilibrium statistical operator method using a modification for weakening...

We discuss a possibility of deriving an H-theorem for nonlinear discrete time evolution equation that describes random wealth exchanges. In such kinetic models economical agents exchange wealth in pairwise collisions just as particles in a gas exchange their energy. It appears useful to...

The heat flux problem for a binary gaseous mixture confined between two parallel plates with different temperatures is studied on the basis of the McCormack kinetic model equation, which was solved by the discrete velocity method. The calculations were carried out for three mixtures of noble...

In a recent paper, Saxena et al. (Astro Phys. Space Sci. 282 (2002) 281) developed solutions of generalized fractional kinetic equations in terms of Mittag–Leffler functions. The object of the present paper is to derive the solution of further generalized fractional kinetic equations. Their...