A Mean Field Games Model for Cryptocurrency Mining

【Author】 Li, Zongxi; Reppen, A. Max; Sircar, Ronnie

【Source】MANAGEMENT SCIENCE

【影响因子】6.172

【Abstract】We propose a mean field game model to study the question of how centralization of reward and computational power occur in Bitcoin-like cryptocurrencies. Miners compete against each other for mining rewards by increasing their computational power. This leads to a novel mean field game of jump intensity control, which we solve explicitly for miners maximizing exponential utility and handle numerically in the case of miners with power utilities. We show that the heterogeneity of their initial wealth distribution leads to greater imbalance of the reward distribution, and increased wealth heterogeneity over time, or a "rich get richer" effect. This concentration phenomenon is aggravated by a higher Bitcoin mining reward and reduced by competition. Additionally, an advantaged miner with cost advantages such as access to cheaper electricity, contributes a significant amount of computational power in equilibrium, unaffected by competition from less efficient miners. Hence, cost efficiency can also result in the type of centralization seen among miners of cryptocurrencies.

【Keywords】cryptocurrencies; cryptocurrency; Bitcoin; mining; mean field games

【发表时间】2023 2023 JUN 1

【收录时间】2023-07-06

【文献类型】理论模型

【主题类别】

区块链技术-核心技术-挖矿策略