On a class of operator equations arising in infinite dimensional replicator dynamics

DOI10.1016/J.NONRWA.2009.08.010zbMath1194.35227OpenAlexW1989058363MaRDI QIDQ984538

Athanasios N. Yannacopoulos, Dimitrios C. Kravvaritis, Vassilis G. Papanicolaou, Anastasios Xepapadeas

Publication date: 20 July 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.08.010

zbMATH Keywords

Nash equilibriumnon-cooperative games

Mathematics Subject Classification ID

Noncooperative games (91A10) Abstract parabolic equations (35K90)

Related Items (5)

Equilibration of unit mass solutions to a degenerate parabolic equation with a nonlocal gradient nonlinearity ⋮ Stochastically stable equilibria in the nonlinear public goods game ⋮ On a Degenerate Nonlocal Parabolic Problem Describing Infinite Dimensional Replicator Dynamics ⋮ Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory ⋮ The replicator dynamics for games in metric spaces: finite approximations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamical aspects of evolutionary stability
• Existence results for a generalized nonlinear Hammerstein equation on \(L_{1}\) spaces
• Similarity solutions for a multi-dimensional replicator dynamics equation
• Linear integral equations.
• On the dynamic foundation of evolutionary stability in continuous models.
• Existence of positive continuous solutions of perturbed hammerstein equations
• Similarity solutions for a replicator dynamics equation
• Evolutionary game dynamics
• Surjectivity of linear operators from a Banach space into itself
• Evolutionary dynamics on infinite strategy spaces

This page was built for publication: On a class of operator equations arising in infinite dimensional replicator dynamics