Non-linear intertemporal dilemma models

In social dilemmas a short-term or individual need is pitted against a long-term or group need. Many scientists study social dilemmas and models of social dilemmas. So far, models of intertemporal social dilemmas are linear. In this paper, a nonlinear intertemporal model is proposed to describe and analyse a typical social dilemma. A recurrence formula is also given for individual profits in any time interval. The reinforcement mechanism of ‘social traps’ has been described quantitatively. Two social dilemma models are described algorithmically. The second model provides a model of the overuse of resources.