An Agent-based Model for Competitive Agents

TL;DR

This paper develops an agent-based model to analyze competitive multi-agent systems, deriving stochastic transition probabilities and solving Fokker-Planck equations to understand agent density distributions.

Contribution

It introduces a novel framework combining agent interactions with stochastic modeling and analytical solutions for density evolution in competitive environments.

Findings

Derived transition probabilities for agent interactions

Solved Fokker-Planck equations for specific cases

Provided insights into agent density dynamics

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.