7 papers
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…
Long-run behavior of games with many players
Jacek Miekisz
We discuss similarities and differencies between systems of many interacting players maximizing their individual payoffs and particles minimizing their interaction energy. We analy…
Evolutionary and asymptotic stability in symmetric multi-player games
Maciej Bukowski, Jacek Miekisz
We provide a classification of symmetric three-player games with two strategies and investigate evolutionary and asymptotic stability (in the replicator dynamics) of their Nash equ…
Equilibrium selection in evolutionary games with random matching of players
Jacek Miekisz
We discuss stochastic dynamics of populations of individuals playing games. Our models possess two evolutionarily stable strategies: an efficient one, where a population is in a st…
Ground states of lattice gases with ``almost'' convex repulsive interactions
Janusz Jedrzejewski, Jacek Miekisz
To our best knowledge there is only one example of a lattice system with long-range two-body interactions whose ground states have been determined exactly: the one-dimensional latt…