We analyse, in the frame of the extended kinetic theory, travelling wave solutions for the 2-velocity discrete models of the Boltzmann equation. The extended formalism allows for absorption, creation, due to scattering with a background as well as for the existence of external sources of test...

We investigate a population of individuals who play the Rock–Paper–Scissors (RPS) game. The players choose strategies not only by optimizing their payoffs, but also taking into account the popularity of the strategies. For the standard RPS game, we find an asymptotically stable polymorphism...

We consider the mean-field approximation (MFA) to the system of interacting agents playing two- and three-person Prisoner’s Dilemma games (2-PD and 3-PD). The agents have three available strategies: All-C, All-D, and a third one, which we choose in various ways. Long-time distribution of the...

We present a simple discrete model for the non-linear spatial interaction of different kinds of subpopulations composed of identical moving entities like particles, bacteria, individuals, etc. The model allows to mimic a variety of self-organized agglomeration and segregation phenomena. By...