Historic behavior in discrete-time replicator dynamics

DOI10.1134/S0001434622070392zbMath1504.37010OpenAlexW4293795023MaRDI QIDQ2170531

Yanyan Li

Publication date: 6 September 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622070392

zbMATH Keywords

replicator dynamicsSchur-convex functiontime averagehistoric behavior

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamic games (91A25) Orbit growth in dynamical systems (37C35) Dynamical systems in optimization and economics (37N40) Evolutionary games (91A22)

Related Items

Historic behavior in rock-paper-scissor dynamics, Historic behavior in nonautonomous rock-paper-scissors dynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Geometric Lorenz flows with historic behavior
• Takens' last problem and existence of non-trivial wandering domains
• A class of nonergodic Lotka-Volterra operators
• Dichotomy of iterated means for nonlinear operators
• Nonergodic quadratic stochastic operators
• Iterated means dichotomy for discrete dynamical systems
• On divergence of any order Cesàro mean of Lotka-Volterra operators
• The mean and transitive points of homeomorphisms
• Abundance of wild historic behavior
• ON THE BEHAVIOUR OF TRAJECTORIES AND THE ERGODIC HYPOTHESIS FOR QUADRATIC MAPPINGS OF A SIMPLEX
• Historic behaviour for nonautonomous contraction mappings
• On a necessary condition for the ergodicity of quadratic operators defined on the two-dimensional simplex
• The discrete‐time Kolmogorov systems with historic behavior
• Uniformly historic behaviour in compact dynamical systems
• On the historical behavior of singular hyperbolic attractors
• Non-trivial wandering domains for heterodimensional cycles
• Orbits with historic behaviour, or non-existence of averages
• Schur-Convex Functions and Inequalities