AAMAS Conference 2025 Conference Paper
On Diffusion Models for Multi-Agent Partial Observability: Shared Attractors, Error Bounds, and Composite Flow
- Tonghan Wang
- Heng Dong
- Yanchen Jiang
- David C. Parkes
- Milind Tambe
Multiagent systems grapple with partial observability (PO), and the decentralized POMDP (Dec-POMDP) model highlights the fundamental nature of this challenge. Whereas recent approaches to addressing PO have appealed to deep learning models, providing a rigorous understanding of how these models and their approximation errors a�ect agents’ handling of PO and their interactions remain a challenge. In addressing this challenge, we investigate reconstructing global states from local action-observation histories in Dec-POMDPs using di�usion models. We� rst� nd that di�usion models conditioned on local history represent possible states as stable� xed points. In collectively observable (CO) Dec-POMDPs, individual di�usion models conditioned on agents’ local histories share a unique� xed point corresponding to the global state, while in non-CO settings, shared� xed points yield a distribution of possible states given joint history. We further� nd that, with deep learning approximation errors, � xed points can deviate from true states and the deviation is negatively correlated to the Jacobian rank. Inspired by this low-rank property, we bound a deviation by constructing a surrogate linear regression model that approximates the local behavior of a di�usion model. With this bound, we propose a composite di�usion process iterating over agents with theoretical convergence guarantees to the true state.