4 papers
On Coexistence of Conservative Replicator Dynamics with Four Strategies
Haoyu Yin, Xudong Chen, Bruno Sinopoli
In this paper, we study four-strategy conservative replicator dynamics induced by constant payoff matrices. We establish necessary and sufficient conditions for coexistence to occu…
Convergence rate of -property for step-graphons
Wanting Gao, Hong Hu, Xudong Chen
A graphon is said to have the -property if a random undirected graph on nodes sampled from it has a node-wise disjoint cycle cover almost surely as . It ha…
Switched Linear Ensemble Systems and Structural Controllability
Haoyu Yin, Yi Li, Ouyang Du +2
This paper introduces and solves a structural controllability problem for ensembles of switched linear systems. All individual systems in the ensemble are sparse and governed by th…
On Zero-sum Game Representation for Replicator Dynamics
Haoyu Yin, Xudong Chen, Bruno Sinopoli
Replicator dynamics have been widely used in evolutionary game theory to model how strategy frequencies evolve over time in large populations. The so-called payoff matrix encodes t…