Stability of evolutionarily stable strategies in discrete replicator dynamics with time delay

Stability of evolutionarily stable strategies in discrete replicator dynamics with time delay.

We construct two models of discrete-time replicator dynamics with time delay. In the social-type model, players imitate opponents taking into account average payoffs of games played some units of time ago. In the biological-type model, new players are born from parents who played in the past. We consider two-player games with two strategies and a unique mixed evolutionarily stable strategy. We ...

New Robust Stability Criteria for Uncertain Neutral Time-Delay Systems With Discrete and Distributed Delays

In this study, delay-dependent robust stability problem is investigated for uncertain neutral systems with discrete and distributed delays. By constructing an augmented Lyapunov-Krasovskii functional involving triple integral terms and taking into account the relationships between the different delays, new less conservative stability and robust stability criteria are established first using the...

Evolutionarily stable dispersal strategies.

Using the idea that life-history parameters are subject to natural selection and should approach values that are stable optima, with the population immune to invasion by mutant individuals, we derive an analytic expression for the evolutionarily stable dispersal rate in a stochastic island model with random site extinction. The results provide interesting contrasts between three different optim...

10 Evolutionarily Stable Strategies

In 1973 the biologist John Maynard Smith and the mathematician G. R. Price wrote an article in Nature showing how game theory applies to the behavior of animals (Maynard Smith and Price 1973). Maynard Smith went on to write a book on the subject (Maynard Smith 1982), which has become a classic. The idea of applying game theory to animals, and not just the higher primates, but fish, dung beetles...

Conditional Evolutionarily Stable Strategies