Reinforcement learning relieves the vaccination dilemma

Author:

Lu Yikang1ORCID,Wang Yanan2ORCID,Liu Yifan3,Chen Jie1,Shi Lei14ORCID,Park Junpyo5ORCID

Affiliation:

1. School of Statistics and Mathematics, Yunnan University of Finance and Economics 1 , Kunming, Yunnan 650221, China

2. School of Economics and Management, Beihang University 2 , Beijing 100191, China

3. School of Economics, Dongbei University of Finance and Economics 3 , Dalian 116025, China

4. Interdisciplinary Research Institute of Data Science, Shanghai Lixin University of Accounting and Finance 4 , Shanghai 201209, China

5. Department of Applied Mathematics, College of Applied Science, Kyung Hee University 5 , Yongin 17104, Republic of Korea

Abstract

The main goal of this paper is to study how a decision-making rule for vaccination can affect epidemic spreading by exploiting the Bush–Mosteller (BM) model, one of the methodologies in reinforcement learning in artificial intelligence (AI), which can realize the systematic process of learning in humans, on complex networks. We consider the BM model with two stages—vaccination and epidemiological processes—and address two independent rules about fixed loss consideration and average payoff of neighbors to update agent’s vaccination behavior for various stimuli, such as loss of payoffs and environments during the vaccination process. Higher sensitivity not only favors higher vaccination coverage rates but also delays the transition point in relative vaccination costs when transitioning from full vaccination (inoculation level 1) to incomplete vaccination (inoculation level less than 1). Extensive numerical simulations demonstrate that the vaccination dilemma can be overcome to some extent, and the distribution of the intended vaccination probabilities in both independent rules is either normal or skewed when different parameters are considered. Since AI is contributing to many fields, we expect that our BM-empowered learning can ultimately resolve the vaccination dilemma.

Funder

National Natural Science Foundation of China

National Research Foundation of Korea

China Scholarship Council

Yunnan Provincial Department of Education Science Research Fund Project

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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