Optimal control about multi-agent wealth exchange and decision-making competence

作者:

Highlights:

• Decision-making competence is a skill which is acquired over time. Its formation is affected by multiple backgrounds and risks, such as rational and irrational psychology.

• In a modified multi-agent system with feedback control, the exchange of agent’s wealth depends on investment behavior. The saving propensity and diffusion are related to decision-making competence and wealth.

• An extra risk shared by all agent is introduced into our micro binary wealth exchange model.

• The effects of relevant parameters on the macro properties of kinetic models and the marginal distributions of wealth or decision-making competence are discussed through several examples.

摘要

•Decision-making competence is a skill which is acquired over time. Its formation is affected by multiple backgrounds and risks, such as rational and irrational psychology.•In a modified multi-agent system with feedback control, the exchange of agent’s wealth depends on investment behavior. The saving propensity and diffusion are related to decision-making competence and wealth.•An extra risk shared by all agent is introduced into our micro binary wealth exchange model.•The effects of relevant parameters on the macro properties of kinetic models and the marginal distributions of wealth or decision-making competence are discussed through several examples.

论文关键词:Multi-agent system,Wealth distribution,Decision-making competence,Dynamic equations,Optimal control

论文评审过程:Received 15 June 2021, Revised 11 September 2021, Accepted 29 October 2021, Available online 21 November 2021, Version of Record 21 November 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126772