论文标题

区块链采矿的决策问题的游戏方法

Game-theoric approach to decision-making problem for blockchain mining

论文作者

Toda, Kosuke, Kuze, Naomi, Ushio, Toshimitsu

论文摘要

对于区块链网络中的矿工来说,这是一个重要的决策问题。我们将这个决策问题提出为非合作游戏,因为创建块的可能性不仅取决于一个人自己的可用计算资源,还取决于其他矿工的计算资源。通过理论和数值分析,我们根据奖励的奖励和矿工决定的跳跃现象,显示出纳什均衡的滞后现象,这是通过略有变化的奖励。我们还表明,随着矿工数量的增加,矿工决定不参加采矿的奖励变得越来越小。

It is an important decision-making problem for a miner in the blockchain networks if he/she participates in the mining so that he/she earns a reward by creating a new block earlier than other miners. We formulate this decision-making problem as a noncooperative game, because the probability of creating a block depends not only on one's own available computational resources, but also those of other miners. Through theoretical and numerical analyses, we show a hysteresis phenomenon of Nash equilibria depending on the reward and a jump phenomenon of miner decisions by a slight change in reward. We also show that the reward for which miners decide not to participate in the mining becomes smaller as the number of miners increases.

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