Social Unrest and the timing of revolution

We study here whether a social movement can turn into a successful revolution, and the optimal timing for a revolution from the deprived workers perspective. To do so, the dynamics of social unrest is defined as a function of the amount of deprived workers, their organizational skills, wage inequalities, and retaliation. Then, taking the evolution of social unrest into account, we obtain the optimal time for a revolution. If unrest increases with time, then a revolution always arises independently of the initial state and the characteristics of the economy. Furthermore, whenever the gains are high enough, then a revolution arises immediately. Worth to note, even if social unrest decreases with time, a revolution arises if the initial mass of discontent is sizeable or retaliation hard.