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Learning to Hand Off: Provably Convergent Workflow Learning under Interface Constraints

Jiayu Li, Enpei Zhang, Dawei Zhou, Elynn Chen, Yujun Yan

May 18, 2026arXiv:2605.19140v1
cs.AI
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Scorecard· 5/16
8.0/10 impact

Abstract

We study workflow learning in a setting where specialized agents hand off control through a shared artifact, each agent observes only a local function of that artifact and its own private state, and no centralized learner accesses joint trajectories -- the operating regime of multi-agent LLM pipelines that span organizational, vendor, or trust boundaries. We formalize this regime as an interface-constrained semi-Markov decision process (IC-SMDP), whose decision epochs occur at handoff times, and design IC-QQ, an asynchronous decentralized QQ-learning algorithm in which cross-agent coordination at every handoff is exactly one scalar. Our main result is a finite-sample bound for neural IC-QQ that decomposes into three independently controllable error sources: neural function-approximation error, interface representation gap, and a mixing-time residual, under the random option-duration discount. Establishing this bound requires lifting the approximate information state (AIS) framework from single-agent primitive-step MDPs to multi-agent SMDPs and controlling Markovian noise under random duration, neither of which has been done in prior work. To our knowledge this is the first finite-sample guarantee for neural QQ-learning under decentralized partial observability. Four experiments: a controlled synthetic IC-SMDP that validates the bound term-by-term, multi-LLM mathematical reasoning, multi-agent routing, and multi-agent CPU programming, show that IC-QQ matches a centralized oracle without any agent observing joint trajectories, with each of the three error sources scaling along its corresponding axis as the bound predicts.

AI Impact Assessments

(1 model)

Scientific Impact Assessment

1. Core Contribution

This paper addresses a genuinely important gap at the intersection of multi-agent reinforcement learning and LLM pipeline orchestration. The core contribution is threefold: (a) the IC-SMDP formalism, which captures the operating regime of multi-agent systems where agents hand off control through a shared artifact without centralized trajectory access; (b) IC-Q, an asynchronous decentralized Q-learning algorithm requiring only a single scalar to be communicated at each handoff; and (c) a finite-sample convergence bound that decomposes into three interpretable, independently controllable error terms.

The problem formulation is well-motivated by real-world deployment scenarios: multi-vendor LLM pipelines where privacy, API contracts, or organizational boundaries prevent sharing of internal states or joint trajectories. The paper clearly distinguishes its sequential handoff regime from concurrent multi-agent settings (Dec-POMDPs) and centralized training paradigms (CTDE), positioning itself in a genuinely underserved niche.

2. Methodological Rigor

The theoretical framework is carefully constructed. The authors systematically position the IC-SMDP relative to existing formalisms (single-agent MDPs, Dec-POMDPs, options framework, AIS framework), clearly articulating why each is insufficient.

The finite-sample bound (Theorem 1) represents genuine theoretical novelty. Three technical challenges are convincingly identified: (i) establishing Bellman contraction under random discounting γ^{τ_{k+1}} rather than fixed γ, (ii) propagating AIS gap bounds through the SMDP Bellman operator at the option scale, and (iii) controlling Markovian noise under random option durations. The claim that this is "the first finite-sample guarantee for neural Q-learning under decentralized partial observability" appears substantiated by the careful comparison with prior work.

The assumptions (A1-A6) are standard individually but their combination is non-trivial. Assumption A6 (SMDP-level Bellman contraction) is the genuinely new condition, and the authors appropriately discuss why it is necessary. The AIS conditions (Assumptions 1-2) are the substantive modeling restrictions, and the paper is transparent about their strength.

However, the theoretical analysis covers only the pre-configured regime where local-action policies are fixed. The adaptable regime (where agents also learn their local policies) is treated only empirically, creating a gap between theory and the most interesting practical scenarios.

3. Potential Impact

Practical relevance: The framework directly addresses the emerging architecture of multi-agent LLM systems spanning trust boundaries. As agent-to-agent protocols (MCP, A2A) standardize, the IC-SMDP provides a principled foundation for what is currently done through heuristics. The minimal communication requirement (one scalar per handoff) is practically appealing for bandwidth-constrained or privacy-sensitive deployments.

Theoretical impact: The lifting of the AIS framework from single-agent primitive-step MDPs to multi-agent SMDPs is a meaningful theoretical contribution that could enable further work in decentralized temporal abstraction. The three-term error decomposition provides actionable design guidance: system architects can independently control representation fidelity (ε_φ, δ_φ), network capacity, and sample budget.

Broader influence: The work connects several previously separate research threads — options/SMDPs, approximate information states, decentralized RL, and LLM orchestration — into a unified framework. This synthesis could catalyze work at these intersections.

4. Timeliness & Relevance

The paper is exceptionally timely. Multi-agent LLM pipelines are proliferating in production (MetaGPT, AutoGen, AgentCoder), and the emergence of standardized agent-to-agent protocols (Anthropic's MCP, Google's A2A) creates immediate demand for principled workflow optimization. The paper fills a clear theoretical vacuum: existing orchestration systems either use hand-designed workflows or require centralized optimization that violates real-world deployment constraints. The gap between theoretical foundations and practical deployment in this area is wide, and this paper makes a substantive contribution toward closing it.

5. Strengths & Limitations

Key Strengths:

  • Clean problem formulation: The four operating conditions (sequential handoff, decentralized training/execution, interface-limited observation, finite-sample guarantees) precisely delineate the contribution space.
  • Minimal communication: The single-scalar handoff design is elegant and practically meaningful.
  • Interpretable bound: The three-term decomposition with independently controllable sources provides genuine design guidance rather than an opaque convergence rate.
  • Comprehensive experiments: The synthetic validation that isolates each error term term-by-term is particularly convincing methodologically, complementing the applied experiments.
  • Strong empirical results: IC-Q matching centralized oracles on multi-LLM math reasoning is a compelling demonstration.
  • Notable Limitations:

  • Theory-practice gap: The formal guarantee covers only the pre-configured regime. The adaptable case (where both routing and local actions are learned) is arguably the more interesting setting and lacks theoretical coverage.
  • AIS conditions may be hard to verify: Assumptions (B1)-(B2) require bounding reward and transition sufficiency at the option scale, which may be difficult to check a priori in practice, particularly for LLM agents with complex internal dynamics.
  • Scalability questions: The experiments use relatively small agent populations (4-10 agents for the main results, 100 for routing). Scalability to truly large agent ecosystems remains untested.
  • LLM experiment scope: The multi-LLM experiments use a single model (GPT-4o-mini) for all agents with fixed prompts. Cross-vendor scenarios with heterogeneous models would more convincingly demonstrate the framework's raison d'être.
  • The 4-bit AIS observation: While effective, the hand-designed nature of φ_i raises questions about how to design good AIS maps in general; automated AIS discovery is not addressed.
  • Self-citation density: A notable number of citations are to the authors' own or closely related work, particularly in the positioning of the contribution relative to transfer RL.
  • Overall Assessment

    This is a strong paper that provides a needed theoretical foundation for an increasingly important practical problem. The formalism is clean, the algorithm is minimal and elegant, and the theory is technically substantial. The main limitation — the gap between the pre-configured theory and adaptable practice — is honestly acknowledged. The work should influence both the theoretical study of decentralized temporal-abstraction RL and the practical design of multi-agent LLM pipelines.

    Rating:7.8/ 10
    Significance 8Rigor 7.5Novelty 8Clarity 8.5

    Generated May 20, 2026

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