Graphon Mean-Field Logit Dynamic: Derivation, Computation, and Applications

arXiv:2508.12523 · math.OC, cs.SY, eess.SY · Submitted 2025-08-17 · Read on arXiv

math.OC, cs.SY, eess.SY

Submitted: 2025-08-17

Updated: 2026-02-07

Terminology

• Nash Equilibrium — 4× in this paper · explained in 2 episodes
• Regularization — 4× in this paper · explained in 3 episodes
• Objective Function — 3× in this paper · explained in 2 episodes
• Action Space — 2× in this paper · explained in 1 episode
• Agent-based modeling — 2× in this paper · explained in 1 episode
• Hakusan Shiramine Fisheries Cooperative — 2× in this paper
• Transformer — 2× in this paper · explained in 2 episodes
• American Option Pricing — 1× in this paper · explained in 1 episode
• Consistency — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Curse of Dimensionality — 1× in this paper · explained in 6 episodes
• Diffusion Model — 1× in this paper · explained in 8 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Multi-Agent System — 1× in this paper · explained in 6 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Transferability — 1× in this paper · explained in 4 episodes

Sources

• Nonlinear Graphon mean-field systems
• On the Properties of the Softmax Function with Application in Game Theory and Reinforcement Learning
• Computational analysis on a linkage between generalized logit dynamic and discounted mean field game
• Non-exchangeable evolutionary and mean field games and their applications

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