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Measuring Emergent Coordination in Multi-Agent LLMs via Information Decomposition

Dela

This episode examines a 2026 ICLR paper that asks whether groups of LLM agents form genuine collectives or are just aggregates of individuals. Ten GPT-4.1 agents play a group binary search game, each privately guessing a number so the total hits a hidden target while seeing only "too high" or "too low" feedback. The only way to succeed is to take complementary offsets, since identical strategies make the group overshoot and undershoot in a loop. The hosts explain partial information decomposition, which splits information into unique, redundant, and synergistic parts. They note that the results depend on which redundancy definition is chosen, and that the leading alternative measure isn't reported. They also walk through the three prompt conditions (plain, persona, and persona plus a one-sentence theory-of-mind nudge), the emergence and coalition tests applied to short trajectories, and the statistical tension between Fisher's method and Wilcoxon tests. Listeners get a skeptical look at how much evidence supports the claim that prompting can turn a group of agents into a higher-order collective.

Sources: 1. Emergent Coordination in Multi-Agent Language Models — Christoph Riedl, 2025 http://arxiv.org/abs/2510.05174 2. Nonnegative Decomposition of Multivariate Information — Paul L. Williams, Randall D. Beer, 2010 https://scholar.google.com/scholar?q=Nonnegative+Decomposition+of+Multivariate+Information 3. Reconciling emergences: An information-theoretic approach to identify causal emergence in multivariate data — Fernando E. Rosas, Pedro A. M. Mediano, Henrik J. Jensen, Anil K. Seth, Adam B. Barrett, Robin L. Carhart-Harris, Daniel Bor, 2020 https://scholar.google.com/scholar?q=Reconciling+emergences%3A+An+information-theoretic+approach+to+identify+causal+emergence+in+multivariate+data 4. Greater than the parts: a review of the information decomposition approach to causal emergence — Pedro A. M. Mediano, Fernando E. Rosas, Andrea I. Luppi, Robin L. Carhart-Harris, Daniel Bor, Anil K. Seth, Adam B. Barrett, 2022 https://scholar.google.com/scholar?q=Greater+than+the+parts%3A+a+review+of+the+information+decomposition+approach+to+causal+emergence 5. Quantifying High-order Interdependencies via Multivariate Extensions of the Mutual Information — Fernando E. Rosas, Pedro A. M. Mediano, Michael Gastpar, Henrik J. Jensen, 2019 https://scholar.google.com/scholar?q=Quantifying+High-order+Interdependencies+via+Multivariate+Extensions+of+the+Mutual+Information 6. AutoGen: Enabling Next-Gen LLM Applications via Multi-Agent Conversation — Qingyun Wu, Gagan Bansal, Jieyu Zhang, et al., 2023 https://scholar.google.com/scholar?q=AutoGen%3A+Enabling+Next-Gen+LLM+Applications+via+Multi-Agent+Conversation 7. MetaGPT: Meta Programming for A Multi-Agent Collaborative Framework — Sirui Hong, Mingchen Zhuge, Jonathan Chen, et al., 2024 (preprint 2023) https://scholar.google.com/scholar?q=MetaGPT%3A+Meta+Programming+for+A+Multi-Agent+Collaborative+Framework 8. AgentVerse: Facilitating Multi-Agent Collaboration and Exploring Emergent Behaviors — Weize Chen, Yusheng Su, Jingwei Zuo, et al., 2023 https://scholar.google.com/scholar?q=AgentVerse%3A+Facilitating+Multi-Agent+Collaboration+and+Exploring+Emergent+Behaviors 9. Evidence for a Collective Intelligence Factor in the Performance of Human Groups — Anita Williams Woolley, Christopher F. Chabris, Alex Pentland, Nada Hashmi, Thomas W. Malone, 2010 https://scholar.google.com/scholar?q=Evidence+for+a+Collective+Intelligence+Factor+in+the+Performance+of+Human+Groups 10. Machine Theory of Mind — Neil C. Rabinowitz, Frank Perbet, H. Francis Song, Chiyuan Zhang, S. M. Ali Eslami, Matthew Botvinick, 2018 https://scholar.google.com/scholar?q=Machine+Theory+of+Mind 11. Theory of Mind May Have Spontaneously Emerged in Large Language Models — Michal Kosinski, 2023 https://scholar.google.com/scholar?q=Theory+of+Mind+May+Have+Spontaneously+Emerged+in+Large+Language+Models 12. Generative Agents: Interactive Simulacra of Human Behavior — Joon Sung Park, Joseph C. O'Brien, Carrie J. Cai, Meredith Ringel Morris, Percy Liang, Michael S. Bernstein, 2023 https://scholar.google.com/scholar?q=Generative+Agents%3A+Interactive+Simulacra+of+Human+Behavior 13. Human-level play in the game of Diplomacy by combining language models with strategic reasoning (Cicero) — Meta Fundamental AI Research Diplomacy Team (FAIR) et al., 2022 https://scholar.google.com/scholar?q=Human-level+play+in+the+game+of+Diplomacy+by+combining+language+models+with+strategic+reasoning+%28Cicero%29 14. Williams, P. L., & Beer, R. D. Nonnegative decomposition of multivariate information — Paul L. Williams, Randall D. Beer, 2010 https://scholar.google.com/scholar?q=Williams%2C+P.+L.%2C+%26+Beer%2C+R.+D.+Nonnegative+decomposition+of+multivariate+information 15. Quantifying unique information — Nils Bertschinger, Johannes Rauh, Eckehard Olbrich, Jürgen Jost, Nihat Ay, 2014 https://scholar.google.com/scholar?q=Quantifying+unique+information 16. Toward a unified taxonomy of information dynamics via integrated information decomposition (ΦID) — Pedro A. M. Mediano, Fernando E. Rosas, Andrea I. Luppi, et al., 2025 https://scholar.google.com/scholar?q=Toward+a+unified+taxonomy+of+information+dynamics+via+integrated+information+decomposition+%28%CE%A6ID%29 17. The emergence of specialized roles within groups — Robert L. Goldstone, Edgar J. Andrade-Lotero, Robert D. Hawkins, Michael E. Roberts, 2024 https://scholar.google.com/scholar?q=The+emergence+of+specialized+roles+within+groups 18. Quantifying collective intelligence in human groups — Christoph Riedl, Young Ji Kim, Pranav Gupta, Thomas W. Malone, Anita Williams Woolley, 2021 https://scholar.google.com/scholar?q=Quantifying+collective+intelligence+in+human+groups 19. Why do multi-agent LLM systems fail? — Mert Cemri et al., 2025 https://scholar.google.com/scholar?q=Why+do+multi-agent+LLM+systems+fail%3F 20. Emergent social conventions and collective bias in LLM populations — Ariel Flint Ashery, Luca Maria Aiello, Andrea Baronchelli, 2025 https://scholar.google.com/scholar?q=Emergent+social+conventions+and+collective+bias+in+LLM+populations 21. Corrupted by reasoning: Reasoning language models become free-riders in public goods games — David Guzman Piedrahita, Yongjin Yang, Mrinmaya Sachan, Giorgia Ramponi, Bernhard Schölkopf, Zhijing Jin, 2025 https://scholar.google.com/scholar?q=Corrupted+by+reasoning%3A+Reasoning+language+models+become+free-riders+in+public+goods+games 22. Clever Hans or neural theory of mind? Stress testing social reasoning in large language models — Natalie Shapira, Mosh Levy, Seyed Hossein Alavi, Xuhui Zhou, Yejin Choi, Yoav Goldberg, Maarten Sap, Vered Shwartz, 2024 https://scholar.google.com/scholar?q=Clever+Hans+or+neural+theory+of+mind%3F+Stress+testing+social+reasoning+in+large+language+models 23. More agents is all you need — Junyou Li, Qin Zhang, Yangbin Yu, Qiang Fu, Deheng Ye, 2024 https://scholar.google.com/scholar?q=More+agents+is+all+you+need

Interactive Visualization: Measuring Emergent Coordination in Multi-Agent LLMs via Information Decomposition

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