Coherence-Driven Belief Formation and Population Dynamics of Contagion in LLM Agents
This study investigates the belief adoption mechanisms and collective propagation dynamics of large language model (LLM) agents. Through multi-agent simulations, statistical modeling, and network dynamics analysis, we empirically demonstrate that the probability of belief adoption among LLM agents follows a sigmoidal distribution. We further propose "belief coherence" as a unifying construct to explain the sensitivity of adoption thresholds. Our findings reveal bifurcation cascade windows and self-sustaining hysteresis consensus phenomena within AI systems. Moreover, we establish that clustered networks are significantly more effective than random networks in driving belief diffusion, yielding consensus states characterized by high stability. These results provide critical insights into the emergent collective behaviors of LLM-based multi-agent systems.