2000 character limit reached
An Agent-based Model for Competitive Agents (2412.15485v1)
Published 20 Dec 2024 in cs.MA and math.PR
Abstract: In this paper, we analyze the behavior of a multi-agent system driven by the interactions of agents within a competitive environment. To achieve this, we describe the transition probabilities that underlie the system's stochastic nature. We also derive the Fokker-Planck equations for the density distribution of the number of agents in the system and solve these equations for specific cases.