The tragedy of the commons (TOC) is an unfortunate situation where a shared resource is
exhausted due to uncontrolled exploitation by the selfish individuals of a population …

Game theory deals with strategic interactions among players and evolutionary game
dynamics tracks the fate of the players' populations under selection. In this paper, we …

A discrete-time replicator map is a prototype of evolutionary selection game dynamical
models that have been very successful across disciplines in rendering insights into the …

Keyfitz's entropy originally is a shape measure of senescence for continuous‐time models.
But a later formula of Keyfitz's entropy for discrete time also exists. de Vries et al.(2023) …

Mutation is an unavoidable and indispensable phenomenon in both biological and social
systems undergoing evolution through replication-selection processes. Here we show that …

Understanding the impact of exploration on the behaviour of multi-agent learning has, so far,
benefited from the restriction to potential, or network zero-sum games in which convergence …

We study a class of asymmetric games with compact Polish strategy sets and provide
sufficient conditions for the stability and convergence of profiles under the infinite …

In evolutionary game theory, it is customary to be partial to the dynamical models
possessing fixed points so that they may be understood as the attainment of evolutionary …

This paper is concerned with exploring the microscopic basis for the discrete versions of the
standard replicator equation and the adjusted replicator equation. To this end, we introduce …

We consider an unstructured population of individuals who are randomly matched in an
underlying population game in which the payoffs depend on the evolving state of the …