---
abstract: 'This paper introduces a microscopic approach to model epidemics, which can explicitly consider the consequences of individual’s decisions on the spread of the disease. We first formulate a microscopic multi-agent epidemic model where every agent can choose its activity level that affects the spread of the disease. Then by minimizing agents’ cost functions, we solve for the optimal decisions for individual agents in the framework of game theory and multi-agent reinforcement learning. Given the optimal decisions of all agents, we can make predictions about the spread of the disease. We show that there are negative externalities in the sense that infected agents do not have enough incentives to protect others, which then necessitates external interventions to regulate agents’ behaviors. In the discussion section, future directions are pointed out to make the model more realistic.'
author:
- 'Changliu Liu[^1]'
bibliography:
- 'main.bib'
date:  
title: 'A Microscopic Epidemic Model and Pandemic Prediction Using Multi-Agent Reinforcement Learning'
---

Introduction
============

With the COVID-19 pandemic souring across the world, a reliable model is needed to describe the observed spread of the disease, make predictions about future, and guide public policy design to control the spread.

#### Existing Epidemic Models

There are many 