21 citations · 52 across the 13 of their papers we have counts for
3 papers · 1 filter
The emergence of chaos in population game dynamics induced by comparisons
Jakub Bielawski, Łukasz Cholewa, Fryderyk Falniowski
Precise description of population game dynamics introduced by revision protocols - an economic model describing the agent's propensity to switch to a better-performing strategy - i…
Interval maps mimicking circle rotations
Jakub Bielawski, Thiparat Chotibut, Fryderyk Falniowski +2
We investigate the dynamics of maps of the real line whose behavior on an invariant interval is close to a rational rotation on the circle. We concentrate on a specific two-paramet…
On the discrete-time origins of the replicator dynamics: From convergence to instability and chaos
Fryderyk Falniowski, Panayotis Mertikopoulos
We consider three distinct discrete-time models of learning and evolution in games: a biological model based on intra-species selective pressure, the dynamics induced by pairwise p…