12 citations · 23 across the 12 of their papers we have counts for
8 papers · 1 filter
Small time delay approximation in replicator dynamics
Jacek Miȩkisz, Javad Mohamadichamgavi, Raffi Vardanyan
We present a microscopic model of replicator dynamics with strategy-dependent time delays. In such a model, new players are born from parents who interacted and received payoffs in…
Evolution of populations with strategy-dependent time delays
Jacek Miȩkisz, Marek Bodnar
We study effects of strategy-dependent time delays on equilibria of evolving populations. It is well known that time delays may cause oscillations in dynamical systems. Here we rep…
Mean-potential law in evolutionary games
Paweł Nałęcz-Jawecki, Jacek Miękisz
The Letter presents a novel way to connect random walks, stochastic differential equations, and evolutionary game theory. We introduce a new concept of potential function for discr…
Population dynamics with a stable efficient equilibrium
Jacek Miekisz, Tadeusz Platkowski
We propose a game-theoretic dynamics of a population of replicating individuals. It consists of two parts: the standard replicator one and a migration between two different habitat…
Stochastic stability in three-player games
Dominik Kaminski, Jacek Miekisz, Marcin Zaborowski
Animal behavior and evolution can often be described by game-theoretic models. Although in many situations, the number of players is very large, their strategic interactions are us…
Equilibrium transitions in finite populations of players
Jacek Miekisz
We discuss stochastic dynamics of finite populations of individuals playing games. We review recent results concerning the dependence of the long-run behavior of such systems on th…