6 citations · 6 across the 8 of their papers we have counts for
11 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…
Diversity in Schumpeterian games
Fryderyk Falniowski, Elżbieta Pliś
We examine the impact of a change in diversity introduced by a new product on the evolution of an economic system. Modeling Schumpeterian competition as a population game with a un…
Algorithmic Collusion is Algorithm Orchestration
Cesare Carissimo, Fryderyk Falniowski, Siavash Rahimi +1
We propose a fresh `meta-game' perspective on the problem of algorithmic collusion in pricing games a la Bertrand. Economists have interpreted the fact that algorithms can learn to…
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…