mlsanityData to 14 Oct 2026

Stochastic Graphon Games: I. The Static Case

arXiv 1911.10664 ↗First posted 25 Nov 2019math.OC math.PRcited by 13

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Abstract (arXiv)

We consider static finite-player network games and their continuum analogs, graphon games. Existence and uniqueness results are provided, as well as convergence of the finite-player network game optimal strategy profiles to their analogs for the graphon games. We also show that equilibrium strategy profiles of a graphon game provide approximate Nash equilibria for the finite-player games. Connections with mean field games and central planner optimization problems are discussed. Motivating applications are presented and explicit computations of their Nash equilibria and social optimal strategies are provided.

Key facts. Cited by 13 papers in the map (data through 14 Oct 2026). First posted on arXiv 25 Nov 2019.

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Citing papers per year: 2021: 1; 2022: 2; 2023: 3; 2024: 4; 2025: 3.

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  1. 2021Learning Graphon Mean Field Games and Approximate Nash Equilibriacited by 28
  2. 2022A Survey on Large-Population Systems and Scalable Multi-Agent Reinforcement Learningcited by 14
  3. 2022Learning Sparse Graphon Mean Field Gamescited by 14
  4. 2024Unified continuous-time q-learning for mean-field game and mean-field control problemscited by 13
  5. 2023Learning Regularized Monotone Graphon Mean-Field Gamescited by 9
  6. 2024Graphon Mean Field Games with a Representative Player: Analysis and Learning Algorithmcited by 5
  7. 2025Reconciling Discrete-Time Mixed Policies and Continuous-Time Relaxed Controls in Reinforcement Learning and Stochastic Controlcited by 3
  8. 2023Reinforcement Learning for SBM Graphon Games with Re-Samplingcited by 1
  9. 2024Scalable Offline Reinforcement Learning for Mean Field Gamescited by 1
  10. 2025Convergence and Connectivity: Dynamics of Multi-Agent Q-Learning in Random Networkscited by 1
  11. 2025Policy Optimization for Continuous-time Linear-Quadratic Graphon Mean Field Gamescited by 1
  12. 2023Directed Chain Generative Adversarial Networkscited by 0
1 more
  1. 2024A Deep Learning Method for Optimal Investment Under Relative Performance Criteria Among Heterogeneous Agentscited by 0