Conformity-driven social learning acts as a topological disruptor in the non-equilibrium evolution of cooperation

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Abstract

The evolutionary fate of cooperation is governed by the interplay between individual utility maximization and the pressure to conform. While traditional evolutionary game theory relies on success-biased learners, the macro-evolutionary impact of frequency-biased social learning remains under-explored. We develop a coupled dynamical system integrating payoff-driven individual learners with conformity-driven social learners. We uncover that strong normative conformity acts as a profound topological disruptor, irrevocably destroying strategic diversity. In anti-coordination environments, critical social pressure eradicates the cooperative middle ground, forcing a topological collapse into absolute polarization. Furthermore, a critical mass of social learners rigidly fractures the state space, birthing highly stable, decoupled asymmetric equilibria: the \textit{Social Trap} (artificially rescuing cooperation against rational free-riding) and the \textit{Social Drag} (pathologically suppressing cooperative pioneers). Governed by a universal, payoff-invariant phase boundary, this structural decoupling mathematically proves that the topology of social influence can completely override universally dominant economic landscapes. Our findings provide a rigorous mechanistic explanation for the extreme polarization of modern societies and highlight the inherent evolutionary paradox of social governance.

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