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The Coordination Gap: Multi-Agent Alternation Metrics for Temporal Fairness in Repeated Games

Repeated multi-agent interactions require evaluation metrics that capture not only payoff distributions but also their temporal organization. Conventional outcome-based fairness measures can assign similar aggregate scores to temporally distinct coordination patterns, obscuring whether access to a shared resource is genuinely rotating or persistently monopolized. We study this problem in the Honey-Jar Game (HJG), a minimally dynamic repeated threshold-congestion Markov game in which n agents compete for exclusive access to a single high-reward resource. We introduce Perfect Alternation (PA), a reference turn-taking regime corresponding to the n-periodic round-robin picking sequence, toget...

AuthorsNikolaos Al. Papadopoulos, Ismael Tito Freire, Marti Sanchez-Fibla et al.
Primary categorycs.MA
Published6 March 2026
Last updated at source23 July 2026
cs.MAcs.GTcs.LG
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