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arXiv · 2608.12775

Mean Field Stackelberg Game for Production and Carbon Emission Reduction with State Reflections

Lijun Bo·Zhen Liu·Jingfei Wang·Jiacheng Zhang
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Abstract

Global warming, driven by anthropogenic carbon emissions with transboundary pollution characteristics and irreversible damage, poses an existential threat to human society. This paper develops a novel two-level Stackelberg game with mean field interaction of controls and common noise which integrates hierarchical decision-making under a state-reflected emission dynamics. A central regulator (leader) adjusts product prices to guide $n$ heterogeneous competing regions (followers) while enforcing a hard emission cap via a reflection mechanism that models emergency reductions through a local time process. We establish the existence of an approximate Stackelberg equilibrium and perform sensitivity analysis via Monte Carlo simulations.

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Lijun Bo, Zhen Liu, Jingfei Wang, Jiacheng Zhang. 2026-08-13. Mean Field Stackelberg Game for Production and Carbon Emission Reduction with State Reflections. https://arxiv.org/abs/2608.12775

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