Live e-commerce has proliferated as a new business model in recent years. Live-streaming channel selection strategies and behavioral decisions are critical considerations for retailers to enhance business performance by increasing engagement and profitability. This study introduces the spillover effect between influencer and self-live-streaming channels, offering new theoretical insights into sustainable supply chain management from multichannel retailing, game theory, and spillover effects for channel selection and pricing, optimizing dual-channel tactics for inclusive marketing, and challenging pricing and channel effectiveness beliefs. Hence, inclusive and sustainable business practices in live e-commerce have been examined, focusing on dual-digital-channel strategies involving influencer marketing and self-live-streaming. This paper investigates three digital supply chain structures for sustainability, which are based on influencer characteristics: the single digital channel (S), the dual-digital-channel structure without spillover effect (DN), and the dual-digital-channel structure with spillover effect (DS). This study employs Stackelberg game models to analyze behavioral, pricing, and channel preferences, and it also extends the model to offline channels. This study finds that (a) influencer effort affects influencer live-streaming pricing, which may not always be cheaper than self-streaming digital channels; (b) commission rates significantly impact influencer pricing strategies, leading retailers to use skimming and penetration pricing strategies when commission rates are low and high; and (c) retailers may develop influencer live-streaming channels if the cross-price coefficient is medium and low but prefer it when the coefficient and spillover impact are large. By analyzing how these digital channels contribute to societal sustainability through reduced environmental impact and enhanced social inclusion, this research highlights key marketing decisions that optimize business performance and social responsibility in the digital economy. It offers live e-commerce managers strategic channel selection, pricing, and sustainability advice and recommendations for future empirical validation to enhance practical applicability.