2024/07/25 by Yiming Jiang, Yawei Wei, Jiang, Yiming +3
Mathematics · #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Dynamics and Fractals #Mathematics and Applications #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.2407.18401
openalex publication_date 2024/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we introduce the third party to achieve the Stackelberg equilibrium with the time inconsistency in three different Stackelberg games, which are the discrete-time games, the dynamic games, and the mean field games. Here all followers are experiencing learning-by-doing. The role of a third party is similar to industry associations, they supervise the leader's implementation and impose penalties for the defection with the discount factor. Then we obtain different forms of discount factors in different models and effective conditions to prevent defection.These results are consistent and the third party intervention is effective and maneuverable in practice.