Auction-Consensus Algorithm with Learned Bidding Scheme for Multi-Robot Systems

Fuente: arXiv
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Autori principali: Rodriguez, Jose, Tarawneh, Constantine, Koenig, Sven, Dong, Wenjie, Lu, Qi
Natura: Preprint
Pubblicazione: 2026
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author Rodriguez, Jose
Tarawneh, Constantine
Koenig, Sven
Dong, Wenjie
Lu, Qi
author_facet Rodriguez, Jose
Tarawneh, Constantine
Koenig, Sven
Dong, Wenjie
Lu, Qi
contents Multi-Robot Task Allocation (MRTA) is a central challenge in decentralized multi-agent systems, where teams of robots must cooperatively assign and execute tasks under limited communication while optimizing global performance objectives. Auction-consensus algorithms, such as the Consensus-Based Bundle Algorithm (CBBA), provide scalable decentralized coordination with provable convergence, but rely on hand-crafted greedy scoring functions that often lead to suboptimal task allocations. This paper proposes a learning-enhanced auction-consensus framework in which CBBA's deterministic bidding mechanism is replaced by a neural bidding policy trained using reinforcement learning. Under a centralized training and decentralized execution paradigm, agents learn to compute task bids from partial local observations while retaining the standard auction and consensus phases for decentralized coordination. The learned bidding policy is trained using Proximal Policy Optimization with rewards shaped by proximity to globally optimal solutions obtained via mixed-integer linear programming. Multiple neural architectures are evaluated, including a Neural Additive Model, the Long Short-Term Memory (LSTM) model, and the Set Transformer Model. Experimental results across varying swarm sizes demonstrate that learned bidding policies can improve solution quality over classical CBBA while preserving decentralized execution. The proposed approach highlights the effectiveness of integrating reinforcement learning with classical distributed coordination algorithms, offering a scalable pathway toward higher-quality decentralized multi-robot task allocation.
format Preprint
id arxiv_https___arxiv_org_abs_2605_21932
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Auction-Consensus Algorithm with Learned Bidding Scheme for Multi-Robot Systems
Rodriguez, Jose
Tarawneh, Constantine
Koenig, Sven
Dong, Wenjie
Lu, Qi
Robotics
Multi-Robot Task Allocation (MRTA) is a central challenge in decentralized multi-agent systems, where teams of robots must cooperatively assign and execute tasks under limited communication while optimizing global performance objectives. Auction-consensus algorithms, such as the Consensus-Based Bundle Algorithm (CBBA), provide scalable decentralized coordination with provable convergence, but rely on hand-crafted greedy scoring functions that often lead to suboptimal task allocations. This paper proposes a learning-enhanced auction-consensus framework in which CBBA's deterministic bidding mechanism is replaced by a neural bidding policy trained using reinforcement learning. Under a centralized training and decentralized execution paradigm, agents learn to compute task bids from partial local observations while retaining the standard auction and consensus phases for decentralized coordination. The learned bidding policy is trained using Proximal Policy Optimization with rewards shaped by proximity to globally optimal solutions obtained via mixed-integer linear programming. Multiple neural architectures are evaluated, including a Neural Additive Model, the Long Short-Term Memory (LSTM) model, and the Set Transformer Model. Experimental results across varying swarm sizes demonstrate that learned bidding policies can improve solution quality over classical CBBA while preserving decentralized execution. The proposed approach highlights the effectiveness of integrating reinforcement learning with classical distributed coordination algorithms, offering a scalable pathway toward higher-quality decentralized multi-robot task allocation.
title Auction-Consensus Algorithm with Learned Bidding Scheme for Multi-Robot Systems
topic Robotics
url https://arxiv.org/abs/2605.21932