Dynamical behavior of a discrete time Hogg–Huberman model with three resources

The dynamical behavior of a discrete time Hogg–Huberman model with three resources 1–3 is investigated. The payoff function of resource 3 is assumed to be the same function as that of resource 2. It is found that when the control parameter takes certain values there are various states which are called the monopoly state of resource 1, and synchronized and asynchronized chaotic states with respect to the fractions of agents using resources 2 and 3. The effect of a reward mechanism based on the actual performance of agents is also calculated in this system.