Synergistic interplay of reputation and extortion in driving cooperation within the Prisoner’s Dilemma

Cooperation, a cornerstone of natural and human systems, remains a complex phenomenon whose mechanisms require deeper exploration. A reputation-driven extension of the Prisoners Dilemma was introduced in this study, to examine how reputation mechanisms interact with extortion strategies in promoting cooperation. By incorporating zero-determinant strategies, notably extortion, cooperation and defection, we simulate strategic evolution on a structured population. Here, the evolution of cooperation is governed by a critical synergy between individual payoffs and reputation. In this framework, cooperation evolves through a critical synergy between individual payoffs and reputation, transforming the game from a mere payoff-optimization task into a dynamic socio-ecological system where agents continuously weigh economic gains against social standing. Our results demonstrated that although reputation mechanisms exhibit hysteresis and require time to accumulate, they ultimately suppress defection effectively. Rational agents prioritize payoff maximization only after surpassing a reputation threshold. Consequently, misaligned incentives can trap the population in a socially inefficient equilibrium characterized by non-negative reputations yet low payoffs. However, realigning incentives within a reasonable range could resolve this dilemma, prompting consistent cooperation. Well-structured payoff incentives thus harmonize individual and collective rationality, leading to high-payoff, high-reputation outcomes.