Stability Analysis of Cross-Border E-Commerce Logistics Alliances Based on Spatio-Temporal Evolution and Multi-Group Evolutionary Game Equilibrium

Factors of alliance stability like operational risk, input cost, and cultural and institutional distance are incorporated into this model of benefit allocation of cross-border e-commerce logistics. This research paper will evaluate how these factors impact the alliances stability of cross-border e-commerce logistics alliance and use multi-group evolutionary game and MATLAB phase diagram to determine a new equilibrium point to judge the influence of alliance stability factors. By analyzing the asymptotic stability of cross-border e-commerce logistics alliance in a multi-group evolutionary game equilibrium, these influencing factors of benefit distribution among participants in cross-border e-commerce logistics alliance are integrated into multi-group evolutionary game model. While the Shapley value method effectively promotes the stability of cross-border e-commerce logistics alliance, this paper compares the MATLAB phase diagram of multigroup evolutionary game equilibrium based on the Shapley value method to multi-group evolutionary game equilibrium modified by other factors to analyze the influence of these factors on alliance stability through benefit distribution. Results indicate that amongst alliance stability factors, cultural distance and institutional distance had the highest impact, followed by input cost and operational risk. This makes the case for further verification of alliance stability conditions. In addition, the stability of cross-border e-commerce logistics alliances is not only affected by factors such as profit distribution, investment costs, risk factors, cultural distance, and institutional distance, but is also closely related to the geographical distribution and temporal evolution of alliance members. Spatio-temporal evolution analysis, which combines spatial distribution (geographical location, logistics network) and temporal dynamics (trends in changes in alliance members' strategic choices), can reveal the dynamic evolution patterns of cross-border e-commerce logistics alliances in the context of globalisation and digitalisation.