Three-player games with strategy-dependent time delays

In this presentation the results of the cooperative project with Jacek Miekisz and Marek Bodnar about replicator dynamics with strategy-dependent time delays in three-player games are presented. Certain parameters are considered providing one pure and two mixed Nash equilibria in biological type model where new players are born from the parents, who interacted in the past. We show that stationary states depend on time delays. Moreover, above a threshold value of time delays, interior equilibria may disappear.