Papers › Anonymous Hedonic Game for Task Allocation in a Large-Scale Multiple Agent System

Anonymous Hedonic Game for Task Allocation in a Large-Scale Multiple Agent System

18 Nov 2017arXiv:1711.06871archive 2025-07-28

Inmo Jang, Hyo-Sang Shin, Antonios Tsourdos

This paper proposes a novel game-theoretical autonomous decision-making framework to address a task allocation problem for a swarm of multiple agents. We consider cooperation of self-interested agents, and show that our proposed decentralized algorithm guarantees convergence of agents with social inhibition to a Nash stable partition (i.e., social agreement) within polynomial time. The algorithm is simple and executable based on local interactions with neighbor agents under a strongly-connected communication network and even in asynchronous environments. We analytically present a mathematical formulation for computing the lower bound of suboptimality of the solution, and additionally show that 50% of suboptimality can be at least guaranteed if social utilities are non-decreasing functions with respect to the number of co-working agents. The results of numerical experiments confirm that the proposed framework is scalable, fast adaptable against dynamical environments, and robust even in a realistic situation.

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