2014/04/05 by Hamidou Tembiné, Tembine, Hamidou
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Computer Science and Game Theory (cs.GT) #FOS: Computer and information sciences #FOS: Electrical engineering #Opinion Dynamics and Social Influence #Stochastic processes and statistical mechanics #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1404.1449
openalex publication_date 2014/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Mean-field games have been studied under the assumption of very large number of players. For such large systems, the basic idea consists to approximate large games by a stylized game model with a continuum of players. The approach has been shown to be useful in some applications. However, the stylized game model with continuum of decision-makers is rarely observed in practice and the approximation proposed in the asymptotic regime is meaningless for networks with few entities. In this paper we propose a mean-field framework that is suitable not only for large systems but also for a small world with few number of entities. The applicability of the proposed framework is illustrated through various examples including dynamic auction with asymmetric valuation distributions, and spiteful bidders.