Grid computing supports workload execution on computing resources that are shared across a set of collaborative organizations. At the core of workload management for Grid computing is a software component, called meta-scheduler or Grid resource broker, that provides a virtual layer on top of heterogeneous Grid middleware, schedulers, and resources. Meta-schedulers typically enable end-users and applications to compete over distributed shared resources through the use of one or more instances of the same meta-scheduler, in a centralized or distributed manner, respectively. We propose an approach to enabling autonomic meta-scheduling through the use of a new communication protocol that –if adopted by different meta-schedulers or by the applications using them— can improve the workload execution while avoiding potential chaos, which can be resulted from blind competition over resources. This can be made possible by allowing the metaschedulers and/or their applications to engage in a ...