A refuge model is developed for a single predator species and either one or two prey
species where no predators are present in the prey refuge. An individual's fitness depends …

1996). The objective was to incorporate aspects of the dynamical theory of selection on
genotypes, sometimes called the population genetic approach to evolution, into the …

We present a revision of Maynard Smith's evolutionary stability criteria for populations which
are very large (though technically finite) and of unknown size. We call this the large …

Here, we address the essential question of whether, in the context of evolving populations,
ecosystems attain properties that enable persistence of the ecosystem itself. We use a …

Eighteen different terms, currently employed to define various concepts of evolutionary
stability in population dynamics are mentioned in this paper. Most of these terms are used in …

We present a general framework for modelling adaptive trait dynamics in which we integrate
various concepts and techniques from modern ESS-theory. The concept of evolutionarily …

We prove that any regular evolutionarily stable strategy (ESS) is asymptotically stable under
any impartial pairwise comparison dynamic, including the Smith dynamic; under any …

This paper considers a strengthening of Maynard Smith's definition of an evolutionarily
stable strategy, or “ESS”, discussed by Vickers & Cannings [Vickers, GT & Cannings …

This is an entirely new draft of the third chapter of my book “Foundations of Evolutionary
Economics” which is going to be published by Edward Elgar in due course. With permission …

The hawk–dove (HD) game, as defined by Maynard Smith [1982. Evolution and the Theory
of Games. Cambridge University Press, Cambridge], allows for a polymorphic fitness …