Game theory and biology

SN Durlauf, LE Blume - Game Theory, 2010 - Springer
In biology, game theory is a branch of evolutionary theory that is particularly suited to the
study of interactions between individuals. The evolution of animal fighting behaviour was …

Are there really no evolutionarily stable strategies in the iterated prisoner's dilemma?

JP Lorberbaum, DE Bohning, A Shastri… - Journal of theoretical …, 2002 - Elsevier
The evolutionary form of the iterated prisoner's dilemma (IPD) is a repeated game where
players strategically choose whether to cooperate with or exploit opponents and reproduce …

Stochastic evolutionary game dynamics∗

D Foster, P Young - Theoretical population biology, 1990 - Elsevier
The concept of an evolutionary stable strategy (ESS) is a useful tool for studying the
dynamics of natural selection. One of its limitations, however, is that it does not capture the …

Evolutionary stable strategy: Application of Nash equilibrium in biology

J Ray-Mukherjee, S Mukherjee - Resonance, 2016 - Springer
Every behaviourally responsive animal (including us) make decisions. These can be simple
behavioural decisions such as where to feed, what to feed, how long to feed, decisions …

Evolutionarily stable preferences

I Alger - Philosophical Transactions of the Royal Society …, 2023 - royalsocietypublishing.org
The 50-year old concept of an evolutionarily stable strategy provided a key tool for theorists
to model ultimate drivers of behaviour in social interactions. For decades, economists …

Evolutionarily unstable fitness maxima and stable fitness minima of continuous traits

PA Abrams, H Matsuda, Y Harada - Evolutionary Ecology, 1993 - Springer
We present models of adaptive change in continuous traits for the following situations:(1)
adaptation of a single trait within a single population in which the fitness of a given individual …

[PDF][PDF] On the existence of a nontrivial equilibrium in relation to the basic reproductive number

KP Wijaya, E Soewono, T Götz - International Journal of Applied …, 2017 - sciendo.com
Equilibrium analysis in autonomous evolutionary models is of central importance for
developing long term treatments. This task typically includes checks on the existence and …

Evolutionary and continuous stability

I Eshel - Journal of theoretical Biology, 1983 - Elsevier
A strategy in a population game is evolutionarily stable if, when adopted by large enough a
majority in the population, it becomes advantageous against any mutant strategy. It is said to …

Non-linear ESS-models and frequency dependent selection

HJ Pohley, B Thomas - Biosystems, 1983 - Elsevier
The concept of an evolutionarily stable strategy (ESS) in its original definition is
inappropriate for application to models where the pay-offs to the strategies depend on the …

[PDF][PDF] Evolution, dynamics, and rationality: The limits of ESS methodology

SM Huttegger, KJS Zollman, S Okasha… - Evolution and …, 2012 - faculty.sites.uci.edu
In this paper we show that there are certain limits as to what applications of Maynard Smith's
concept of evolutionarily stable strategy (ESS) can tell us about evolutionary processes. We …