推论
质量(理念)
计算机科学
生成模型
生成语法
楔形(几何)
经济
计量经济学
二次方程
微观经济学
面子(社会学概念)
数学优化
间接推理
固定成本
数理经济学
人工智能
论证(复杂分析)
机器学习
标识
DOI:10.1080/13504851.2026.2698867
摘要
Generative AI platforms price free tiers at zero yet face per-query inference costs that rise with model capability. We study a freemium monopolist offering free and paid tiers. Decomposing the free-quality first-order condition reveals an inference-cost wedge beyond standard screening: serving costs for existing free users, and a net-of-serving-cost entry margin. Under quadratic costs, optimal free-tier quality is strictly decreasing in inference costs whenever a closed-form sufficient condition holds. Because the free-tier price is fixed at zero, the free tier responds to cost changes through quality rather than price, so falling inference costs raise optimal free-tier quality.
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