Research map / Multi-agent systems and games / LLM agents
Evolving Interpretable Constitutions for Multi-Agent Coordination
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Proposes Constitutional Evolution, using LLM-driven genetic programming (OpenEvolve, multi-island, MAP-Elites) to evolve interpretable natural-language constitutions for LLM agents in a grid-world with an Overseer elimination mechanic, reaching a Stability Score of 0.556 versus 0.249 for an HHH baseline.
Problem
Hand-crafted constitutions (HHH-style principles) may not yield stable cooperation in multi-agent LLM societies facing survival pressure and conflicting individual and collective incentives.
Approach
Treat the constitution as an optimizable object and evolve its priority-ordered natural-language rules with LLM-guided multi-island evolutionary search, using a Societal Stability Score as fitness, without updating any model weights.
Key results
- Evolved constitution C* reaches S=0.556 ± 0.008 over N=10 runs, versus 0.249 for HHH (123% higher) and 0.332 for the Claude 4.5 Opus-designed constitution.
- C* reduces social actions from 62.2% (HHH) to 0.9% while raising productivity to 91% and driving conflict to 0%.
- Multi-island evolution avoided the communication-trap local minimum that trapped one of three single-island runs (best S=0.255).
Surprising findings
- Evolved constitution reduces communication to 0.9% of actions yet achieves 3.1x higher productivity than verbose HHH agents.
- One-shot Claude 4.5 Opus constitution design, given full game knowledge, underperforms the evolved constitution by 67%.
Limitations
- Simplified 6x6 grid-world with only 6 agents and 40 turns; generalization to richer settings untested.
- Single model (GPT-OSS-120B) used for both optimizer and agents; baselines are weak adversarial and hand-written constitutions rather than game-theoretic strategies like tit-for-tat.
- Stability Score coefficients are chosen by the authors and the best-case score is capped at 0.6 by the Overseer design.
Experimental setup
Benchmarks: grid-world multi-agent society simulation (6 agents, 40 turns)
Metrics: Societal Stability Score productivity survival rate conflict frequency social action share
Baselines: Zero-Sum adversarial constitution HHH constitution LLM-Generated constitution (Claude 4.5 Opus) single-island evolution
Builds on: Constitutional AI OpenEvolve MAP-Elites FunSearch Bergson-Samuelson social welfare function
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