In this paper, we address the large-scale coordination of decisions impacting the consumption of a common shared resource of limited capacity by managed elements. We propose a decentralised token-based scheme, where each token represents a share of the resource. Our token-based protocol is meant to provide statistical guarantees on the average total resource usage and the average lateness of node actions due to the coordination. Experiments with the coordination of 10.000 autonomic managers have shown very good results for large spectrum of parameter values and system's regimes.