On evolutionarily stable sets

B Thomas - Journal of mathematical Biology, 1985 - Springer
As an extension of the concept of an evolutionarily stable strategy (ESS) evolutionarily
stable sets are introduced, ie sets of equilibrium strategies (EQS) which have much of the …

Evolutionary stable strategies are not always stable under evolutionary dynamics

DB Fogel, GB Fogel - 1995 - direct.mit.edu
Explanations of the observed behaviors of individuals and species often rely on evolutionary
stable strategies (ESSs). Essentially, analysis of ESSs requires a description of the …

Evolutionary game theory: ESS, convergence stability, and NIS

J Apaloo, JS Brown, TL Vincent - Evolutionary Ecology …, 2009 - evolutionary-ecology.com
Question: How are the three main stability concepts from evolutionary game theory–
evolutionarily stable strategy (ESS), convergence stability, and neighbourhood invader …

Evolutionarily stable strategies in multistage biological systems

TL Vincent, JS Brown - Selection, 2002 - akjournals.com
It has been shown that the ESS Maximum Principle, used to find evolutionarily stable
strategies, is applicable to a large class of population dynamic models. These include both …

On the instability of evolutionary stable strategies in small populations

GB Fogel, PC Andrews, DB Fogel - Ecological Modelling, 1998 - Elsevier
Evolutionary stable strategies (ESSs) are often used to explain the behaviors of individuals
and species. The analysis of ESSs determines which, if any, combinations of behaviors …

The evolution of ESS theory

TL Vincent, JS Brown - Annual Review of Ecology and Systematics, 1988 - JSTOR
With the rediscovery of Mendel's Laws at the turn of the century (100), the study of
evolutionary processes blossomed. Since then, the discipline of population genetics has …

Evolutionary and continuous stability in asymmetric games with continuous strategy sets: the parental investment conflict as an example

U Motro - The American Naturalist, 1994 - journals.uchicago.edu
In a population that is fixed at an evolutionarily stable strategy (ESS), no mutant strategy can
invade and spread. If, however, the strategy set is continuous, one can ask which mutations …

Nash equilibrium and evolutionary stability in large-and finite-population “Playing the field” models

VP Crawford - Journal of Theoretical Biology, 1990 - Elsevier
This paper studies the correspondence between Nash equilibrium and evolutionary stability
in large-and finite-population “playing the field” models. Whenever the fitness function is …

Deterministic evolutionary dynamics: a unifying approach

R Joosten - Journal of Evolutionary Economics, 1996 - Springer
We tackle three components of evolutionary modelling: payoffs, dynamical systems and
equilibrium concepts. Firstly, we merely require that fitness functions are continuous …

An evolutionary optimization principle

A Hastings - Journal of Theoretical Biology, 1978 - Elsevier
Characteristics of evolutionarily stable strategies, or ESS's, are investigated for a general
class of evolutionary models. Both differential equation and difference equation models are …