Environmental feedback incorporated on a collective decision making model

We study a collective decision making model where each player needs to commit to one of two options. The fractions of committed individuals are the states of this evolutionary model. As element of novelty we incorporate environmental feedback to our model, which translates to system parameters that are now depending on the state of the system. In the first scenario of environmental feedback, we show how we reach a stable unique equilibrium that only depends on the factor of spontaneous commitment. In a second and third scenario, we show that under a suitable form of environmental feedback, we obtain limit cycles in the behavior. All our findings are covered by simulations.