The paper covers the topic dedicated to developing a multifactor model of the digital cryptocurrency market based on the differential stochastic game. The approach helps to determine currency stability strategies in the conditions of stochastic uncertainty. The novelty of the approach lies in the adequacy of the model to the process of buying and selling digital cryptocurrencies (DCC). Games are used to determine whether buy–sell strategies effectively reduce volatility and maintain the DCC stability. The article presents calculations of various trading parameters in the DCC market, which allows market participants to have management tools suitable for both traditional currencies and DCC in conditions of stochastic uncertainty. The proposed model can be integrated into software products for DCC trading platforms.