By developing a price competition model with differentiated products, where artificial intelligence (AI) adoption influences service differentiation and pricing strategies, this study investigates how AI affects hospitality firm profit by accounting for both the positive and negative effects of AI on demand and productivity. Based on the Nash Equilibrium with optimal strategies, the theoretical model reveals a U-shaped relationship between AI application and firm profit, suggesting that long-term profit gains occur after surpassing a critical threshold. Empirical validation using dynamic panel data regression identifies this critical AI adoption threshold. Furthermore, piecewise regression provides deeper insights into AI’s evolving impact on demand and productivity across different stages of adoption, highlighting the nonlinear nature of AI’s influence and its strategic value in the hospitality industry.

中文翻译：

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建模 AI 对酒店公司利润的影响：需求和生产力效应

通过开发具有差异化产品的价格竞争模型，其中人工智能 （AI） 的采用会影响服务差异化和定价策略，本研究通过考虑 AI 对需求和生产力的积极和消极影响，调查了 AI 如何影响酒店公司的利润。基于具有最优策略的纳什均衡，理论模型揭示了人工智能应用与公司利润之间的 U 形关系，表明长期利润增长发生在超过临界阈值后。使用动态面板数据回归的实证验证确定了这个关键的 AI 采用阈值。此外，分段回归提供了对 AI 在不同采用阶段对需求和生产力不断变化的影响的更深入见解，突出了 AI 影响力的非线性性质及其在酒店业的战略价值。