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NeurIPS 2026 / Cooperative multi-agent learning

Focusing Influence Mechanism
for Multi-Agent
Reinforcement Learning

Yisak Park · Sunwoo Lee · Seungyul Han

Graduate School of Artificial Intelligence, UNIST

Better cooperation starts with where agents focus—and how long they sustain that focus.

THE CORE IDEAFocus together. Keep influencing.

A motivating example in Push-2-Box

Push-2-Box environment with two agents and two boxes
01 The task
Vanilla QMIX visitation patterns show scattered influence
02 Vanilla QMIX
Agent focusing alone increases influence over both boxes
03 Agent focusing only
FIM combines agent and state focusing to concentrate influence on a box
04 FIM: AFI + SFI

Original panels from the paper. Push-2-Box requires agents to coordinate their pushing. FIM combines persistent joint influence with selective attention to under-explored state dimensions.

Exploration needs coordination.

Sparse rewards tell agents little about how to work together. Even when each agent can change the environment, their influence can remain scattered.

FIM adds an intrinsic learning signal that directs agents toward under-explored parts of the state space and rewards sustained collective influence. It combines entropy-based state selection with eligibility traces, and can augment different multi-agent learning backbones.

Read the abstract

Cooperative multi-agent reinforcement learning (MARL) under sparse rewards remains fundamentally challenging because agents often fail to concentrate their influence, leading to insufficiently coordinated exploration. To address this, we propose the Focusing Influence Mechanism (FIM), a framework that encourages agents to focus their influence on under-explored parts of the state space through an entropy-based criterion, while leveraging eligibility traces to enable multiple agents to consistently align and sustain their influence on the same parts of the state space when beneficial, thereby promoting coordinated and persistent joint behavior. By emphasizing under-explored regions of the state space, FIM facilitates more efficient and structured exploration even under extremely sparse rewards. Across diverse MARL benchmarks, FIM consistently improves cooperative performance over strong baselines.

Two complementary forms of focus.

Choose meaningful dimensions. Sustain coordinated influence.

SFI

Where to focus

State Focusing Influence

Estimate the entropy of state transitions and give more weight to dimensions with limited observed variation under the current behavior policy.

PRIORITY

Under-explored state dimensions receive larger weights wd.

AFI

How to sustain it

Agent Focusing Influence

Estimate joint influence through counterfactual reasoning. Accumulate this influence with eligibility traces, encouraging the team to keep affecting shared targets over time.

PERSISTENCE

Repeated collective influence increases the trace etd.

Together, SFI and AFI encourage focused, persistent cooperation under sparse rewards.

Cooperation across challenging environments.

Performance curves from the paper, using sparse rewards.

Learning curves comparing FIM with MARL baselines across five SMAC and three SMACv2 scenarios

Curves show the mean over 5 random seeds; shaded regions denote standard deviation. Select a figure to open its full-resolution version.

SCALABILITY

Larger teams, sustained final performance.

Increasing allied teams from 8 to 10 agents tests whether focused influence remains useful as coordination and state spaces grow.

FIM scalability on SMAC
AgentsFIM win rateSteps to converge
80.82 ± 0.24≈ 7M
90.80 ± 0.25≈ 11M
100.79 ± 0.27≈ 25M

Final performance is preserved in these settings, while larger teams require longer training.

GENERALIZATION

Beyond vector states and discrete actions.

Additional evaluations use spatial binary states in Overcooked and continuous actions in the Multi-Agent Particle Environment.

Baseline and FIM-augmented returns
Environment / backboneBaseline+ FIM
Overcooked IPPO · coord-ring195.7 ± 5.3218.5 ± 4.7
MPE MAPPO · continuous−80.7 ± 19.6−63.4 ± 7.9

Returns are mean ± standard deviation; higher is better. MPE is evaluated at 1M steps. Reward scales differ across environments.

Explore the paper.
Use the code.

Read the full manuscript and explore the FIM implementation on GitHub.

Cite this work.

@inproceedings{park2026focusing,
  title={Focusing Influence Mechanism for Multi-Agent Reinforcement Learning},
  author={Park, Yisak and Lee, Sunwoo and Han, Seungyul},
  booktitle={Advances in Neural Information Processing Systems},
  year={2026}
}