🤖 AI Summary
Achieving consensus in non-cooperative multi-agent systems while simultaneously ensuring both efficiency and fairness remains challenging, particularly in air traffic trajectory coordination.
Method: This paper proposes a decentralized coordination framework integrating iterative negotiation with an adjustable quasi-tax regulatory mechanism to guide agents toward convergence while preserving valuation privacy. Theoretically, we establish quantitative relationships between regulatory intensity and system performance—namely, efficiency, fairness, and convergence speed. Algorithmically, the framework employs a distributed transaction-auction mechanism coupled with dynamic supervision rules.
Results: Experimental evaluation demonstrates finite-time convergence, and confirms that regulatory intensity effectively trades off system efficiency against convergence speed. The framework significantly improves consensus quality and robustness under heterogeneous and adversarial conditions, outperforming baseline decentralized approaches in both synthetic and realistic airspace coordination scenarios.
📝 Abstract
Achieving consensus among noncooperative agents remains challenging in decentralized multi-agent systems, where agents often have conflicting preferences. Existing coordination methods enable agents to reach consensus without a centralized coordinator, but do not provide formal guarantees on system-level objectives such as efficiency or fairness. To address this limitation, we propose an iterative negotiation and oversight framework that augments a decentralized negotiation mechanism with taxation-like oversight. The framework builds upon the trading auction for consensus, enabling noncooperative agents with conflicting preferences to negotiate through asset trading while preserving valuation privacy. We introduce an oversight mechanism, which implements a taxation-like intervention that guides decentralized negotiation toward system-efficient and equitable outcomes while also regulating how fast the framework converges. We establish theoretical guarantees of finite-time termination and derive bounds linking system efficiency and convergence rate to the level of central intervention. A case study based on the collaborative trajectory options program, a rerouting initiative in U.S. air traffic management, demonstrates that the framework can reliably achieve consensus among noncooperative airspace sector managers, and reveals how the level of intervention regulates the relationship between system efficiency and convergence speed. Taken together, the theoretical and experimental results indicate that the proposed framework provides a general mechanism for decentralized coordination in noncooperative multi-agent systems while safeguarding system-level objectives.