title: Imitation versus payoff: Duality of the decision-making process demonstrates criticality and consensus formation.
abstract: We consider a dual model of decision making, in which an individual forms its opinion based on contrasting mechanisms of imitation and rational calculation. The decision-making model (DMM) implements imitating behavior by means of a network of coupled two-state master equations that undergoes a phase transition at a critical value of a control parameter. The evolutionary spatial game, being a generalization of the prisoner's dilemma game, is used to determine in objective fashion the cooperative or anticooperative strategy adopted by individuals. Interactions between two sources of dynamics increases the domain of initial states attracted to phase transition dynamics beyond that of the DMM network in isolation. Additionally, on average the influence of the DMM on the game increases the final observed fraction of cooperators in the system.
authors.affiliation: Physics Department, Duke University, Durham, North Carolina 27709, USA.
authors.forename: M
authors.initials: M
authors.lastname: Turalska
authors.affiliation: Physics Department, Duke University, Durham, North Carolina 27709, USA and Information Science Directorate, U.S. Army Research Office, Research Triangle Park, North Carolina 27708, USA.
authors.forename: B J
authors.initials: BJ
authors.lastname: West