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Multi-Agent Reinforcement Learning reductionist simulations can provide a spectrum of opportunities towards the modeling and understanding of complex social phenomena such as common-pool appropriation. In this paper, a multiplayer variant of Battle-of-the-Exes is suggested as appropriate for experimentation regarding fair and efficient coordination and turn-taking among selfish agents. Going beyond literature’s fairness and efficiency, a novel measure is proposed for turn-taking coordination evaluation, robust to the number of agents and episodes of a system. Six variants of this measure are defined, entitled Alternation Measures or ALT. ALT measures were found sufficient to capture the desired properties (alternation, fair and efficient distribution) in comparison to state-of-the-art measures, thus they were benchmarked and tested through a series of experiments with Reinforcement Learning agents, aspiring to contribute novel tools for a deeper understanding of emergent social outcomes.
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