Industrial internet supply chain emergency capacity improvement model based on stochastic differential game

In an environment fraught with uncertainty, supply chains encounter disruptions in supply. Amidst the dual challenges posed by the global technological revolution and the frequent emergence of public emergencies, the significance of emergency response capability within industrial internet projects has become increasingly pronounced. Due to the influence of uncertain factors, the implementation of strategies for building emergency capacity is subject to randomness. Therefore, taking into account the impact of random factors, this paper establishes three cooperation models for enhancing emergency response capability in vertical, horizontal, and collaborative scenarios using a stochastic differential game model. Subsequently, it explores the effects of different cooperation modes and random factors on the enhancement of emergency response capability. The findings indicate that the most effective approach to improving emergency capacity involves the participation, resource sharing, and collaborative efforts of all major stakeholders in the industrial internet supply chain. However, varying risk preferences and specific circumstances may lead to the adoption of different cooperation modes, suggesting that collaboration may not always be the optimal choice. Decision-makers can leverage the insights from this study to identify suitable cooperation modes and devise emergency capacity-building strategies for enhancing supply chain emergency response capability during crises, thereby ensuring the smooth implementation of industrial internet projects.