For discounted partially exchangeable costs in heterogeneous cluster systems, cluster-symmetric decentralized policies are optimal in the mean-field limit and asymptotically optimal for finite populations, equivalent to McKean-Vlasov control of cluster representatives.
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math.OC 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
The paper proves existence of relaxed equilibria for non-exchangeable mean field games with moderate interactions and common noise, and shows asymptotic equivalence between finite-player approximate Nash equilibria and the mean field limit.
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Mean-Field Systems with Heterogeneous Subteams: Optimality of Cluster-Symmetric Independent Policies and Equivalence with Decentralized McKean-Vlasov Control of Cluster-Representative Agents
For discounted partially exchangeable costs in heterogeneous cluster systems, cluster-symmetric decentralized policies are optimal in the mean-field limit and asymptotically optimal for finite populations, equivalent to McKean-Vlasov control of cluster representatives.
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Non--exchangeable mean field games with moderate interactions and common noise
The paper proves existence of relaxed equilibria for non-exchangeable mean field games with moderate interactions and common noise, and shows asymptotic equivalence between finite-player approximate Nash equilibria and the mean field limit.