Stability conditions for a dynamic market simulation model

However, again, game theory is static. Evolutionary game theory (e.g. [1]), then, is a framework which makes game theory dynamic and it is possible to evaluate the dynamical behavior of the system. For example, Nash equilibria are fixpoints of the dynamic evolution of evolutionary game theory. Such fixpoints can be stable or unstable, etc.; and it is also possible to have more complicated limit sets such as cyclic or chaotic ones. If those are stable, they have a basin of attraction, meaning that if the system ever gets into the basin of attraction, then it will go to the limit set and remain there. This is however only true for deterministic systems; in stochastic systems, the noise can drive the system out of the basin of attraction into another one.