Evolutionarily stable strategies depending on population density

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

Evolutionarily Stable Density-Dependent Dispersal

An ab-initio numerical study of the density-dependent, evolutionary stable dispersal strategy is presented. The simulations are based on a simple discretei generation island model with four processes: reproduction, dispersal, competition and local catastrophe. We do not impose any a priori constraints on the dispersal schedule, allowing the entire schedule to evolve. We find that the system con...

Evolutionarily Stable Strategies in Quantum Games

Evolutionarily Stable Strategy (ESS) in classical game theory is a refinement of Nash equilibrium concept. We investigate the consequences when a small group of mutants using quantum strategies try to invade a classical ESS in a population engaged in symmetric bimatrix game of Prisoner’s Dilemma. Secondly we show that in an asymmetric quantum game between two players an ESS pair can be made to ...