Research on anti-cooperation behavior and elasticity of"Platform-Merchant"based on stochastic catastrophe theory
The anti-cooperative behavior of e-commerce platforms and merchants in marketing activities,as a key factor affecting the healthy development of the platform,has become one of the most concerning issues for the platform.Based on the"Platform-Merchant"anti-cooperative behavior evolution game model,white noise and stochastic differential equations are introduced,and a stochastic catastrophe model is constructed by combining catastrophe theory to analyze the nonlinear evolution process of anti-cooperative behavior.On this basis,We introduce elastic indicators to measure the robustness of the platform and conduct numerical simulations on the model.The results indicate that:1)Increasing elasticity can improve platform robustness when benefits or costs change;however,when the probability of profitability changes,resilience should be controlled(reduced)to maintain platform robustness.2)Single-factor analysis shows that returns have a positive impact on resilience,but costs are negatively correlated with resilience;there is an inverse"V"relationship between profit probability and elasticity,which means there exists a profit probability value that maximizes the elasticity;interestingly,losses do not affect elasticity(sudden changes occur).3)Two-factor analysis found that increasing costs or reducing returns can enhance the effect of profit probability on elasticity while increasing costs can slow down the positive impact of returns on elasticity.This study has important theoretical and prac-tical value for the internal mutation law of the evolution of"Platform-Merchant"anti-cooperative behavior and platform operation elasticity control strategies.