How does diminishing stubbornness affect agent convergence?
Friedkin-Johnsen Model With Diminishing Competition
September 20, 2024
https://arxiv.org/pdf/2409.12601This paper investigates how "stubbornness" or "competition" among agents in a multi-agent system affects their ability to reach consensus (all agents agreeing on a single value). The key finding is that even with diminishing stubbornness, the system can still achieve consensus as long as it fades away over time. This has implications for LLM-based multi-agent systems where agents might have different initial opinions or information, showing that they can still reach an agreement if they gradually become less attached to their initial stances. However, the paper also cautions that if agents reduce their stubbornness at different rates, consensus might not be achievable.