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The Big Picture

When a task only produces a signal if enough agents act together, independent exploration fails; targeted probing and an event-triggered sync protocol let teams learn those hidden group-size needs while using 23× less communication.

The Evidence

Hidden minimum team sizes (how many agents are needed for a task to produce any feedback) break ordinary decentralized learning: attempts below the hidden size give no signal and can't distinguish bad luck from being understaffed. A centralized planner that probes coalition sizes can learn these thresholds with only logarithmic cumulative cost in time. A decentralized protocol that runs local planners and only synchronizes beliefs when structure changes nearly matches the centralized performance but reduces communication by about 23×. A2A Protocol Pattern.
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Data Highlights

1Decentralized protocol (D-TAC) reduces communication by 23× compared to an idealized centralized coordinator while preserving feasibility alignment.
2Centralized strategy (C-TAC) achieves provable logarithmic cumulative regret O(log T) under a positive lower bound on success probability for feasible tasks.
3Feasibility (the unknown minimum coalition size per task) resolves with O(log T / p_min) targeted probes per task, where p_min is a known lower bound on success probability.

What This Means

Engineers building multi-agent systems where some tasks only succeed when multiple agents cooperate (search-and-rescue, distributed sensing, coordinated jamming) — use these ideas to avoid long periods of blind failure. Technical leads designing communication-aware teams will appreciate that you can get near-optimal task choices with far fewer messages by synchronizing only when structural beliefs change. Planning.

Key Figures

Figure 1: Cumulative regret under censored feedback. Cumulative regret R ​ ( t ) R(t) over T = 10 , 000 T=10{,}000 steps, averaged over N = 40 N=40 independent runs. Independent UCB exhibits sustained linear regret due to censored feedback. C-TAC and D-TAC incur an early coordination cost to resolve feasibility, after which regret growth slows. Shaded regions denote ± 1 \pm 1 standard error.
Fig 1: Figure 1: Cumulative regret under censored feedback. Cumulative regret R ​ ( t ) R(t) over T = 10 , 000 T=10{,}000 steps, averaged over N = 40 N=40 independent runs. Independent UCB exhibits sustained linear regret due to censored feedback. C-TAC and D-TAC incur an early coordination cost to resolve feasibility, after which regret growth slows. Shaded regions denote ± 1 \pm 1 standard error.
Figure 2: Structural hardness versus regret. Final cumulative regret R ​ ( T ) R(T) as a function of the maximum feasibility threshold τ max \tau_{\max} . Independent UCB exhibits increasing regret as coordination requirements grow. C-TAC maintains low regret across all threshold levels. D-TAC approaches centralized performance while substantially reducing communication. Results are averaged over N = 40 N=40 runs with horizon T = 10 , 000 T=10{,}000 ; error bars denote ± 1 \pm 1 standard error.
Fig 2: Figure 2: Structural hardness versus regret. Final cumulative regret R ​ ( T ) R(T) as a function of the maximum feasibility threshold τ max \tau_{\max} . Independent UCB exhibits increasing regret as coordination requirements grow. C-TAC maintains low regret across all threshold levels. D-TAC approaches centralized performance while substantially reducing communication. Results are averaged over N = 40 N=40 runs with horizon T = 10 , 000 T=10{,}000 ; error bars denote ± 1 \pm 1 standard error.

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Yes, But...

The model assumes task values are known ahead of time and task success probabilities and thresholds are stationary over the horizon; learning unknown task values or drifting environments is not handled. The decentralized protocol relies on lossless, timely belief-sharing when synchronization events occur; performance under lossy or adversarial communication is an open problem. Results use homogeneous agents and integer thresholds; heterogenous agents or continuous resource budgets may require new methods. Spiraling Hallucination Loops.

Methodology & More

Many cooperative tasks only produce useful feedback if a sufficient number of agents act together: try with too few and you get silence that could mean either bad luck or simply that the team was too small. That silence prevents ordinary independent exploration from resolving which tasks are feasible. The authors formalize this as a threshold-gated allocation problem (Threshold-Activated Cooperative Multi-Armed Bandit) where each task has an unknown integer minimum team size and an unknown success probability once that size is met. A centralized planner that probes coalition sizes directly separates the problem into two parts—learning structural thresholds and estimating success probabilities—and can be shown to incur only logarithmic cumulative regret in time. To get the same behavioral benefits without constant centralized messaging, a decentralized protocol (D-TAC) gives each agent a local copy of the planner (a "virtual coordinator") and an event-triggered synchronization rule: agents only exchange belief updates when their local structural estimates change. Using conservative fusion rules that never lower an estimated threshold, the team quickly stabilizes on a shared hypothesis. In experiments (5 agents, 10 tasks, horizon 10,000 averaged over 40 runs) D-TAC closely matches centralized regret while cutting communication by ~23×. The approach is practical for systems where communication is costly but occasional coordinated probes are affordable; extending it to lossy networks, nonstationary tasks, or unknown task values remains future work. Blackboard Pattern. Agent Service Mesh Pattern.
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Credibility Assessment:

Small author list with low h-indexes and no affiliations or top venue — limited signals.