61 citations · 67 across the 7 of their papers we have counts for
8 papers
Natural Invariant Measures for Chaotic Game Dynamics: Finding Order in Chaos
Jakub Bielawski, Thiparat Chotibut, Fryderyk Falniowski +2
We study the long-term behavior of the Multiplicative Weights Update (MWU) algorithm in game settings where learning dynamics frequently fail to converge to Nash equilibria and ins…
Strange bifurcation diagrams
Jakub Bielawski, Thiparat Chotibut, Fryderyk Falniowski +2
We investigate a family of one dimensional maps for which the bifurcation diagram looks differently than the usual ones. We describe and exemplify various unique and interesting ph…
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…
Unpredictable dynamics in congestion games: memory loss can prevent chaos
Jakub Bielawski, Thiparat Chotibut, Fryderyk Falniowski +2
We study the dynamics of simple congestion games with two resources where a continuum of agents behaves according to a version of Experience-Weighted Attraction (EWA) algorithm. Th…
Follow-the-Regularized-Leader Routes to Chaos in Routing Games
Jakub Bielawski, Thiparat Chotibut, Fryderyk Falniowski +3
We study the emergence of chaotic behavior of Follow-the-Regularized Leader (FoReL) dynamics in games. We focus on the effects of increasing the population size or the scale of cos…
The interplay between migrants and natives as a determinant of migrants' assimilation: A coevolutionary approach
Jakub Bielawski, Marcin Jakubek
We study the migrants' assimilation, which we conceptualize as forming human capital productive on the labor market of a developed host country, and we link the observed frequent l…
Multipartite entanglement in heterogeneous systems
D. Goyeneche, J. Bielawski, K. Życzkowski
Heterogeneous bipartite quantum pure states, composed of two subsystems with a different number of levels, cannot have both reductions maximally mixed. In this work, we demonstrate…