Many economic theory models incorporate finiteness assumptions that, while introduced for simplicity, play a real role in the analysis. We provide a principled framework for scaling results from such models by removing these finiteness assumptions. Our sufficient conditions are on the theorem statement only, and not on its proof. This results in short proofs, and even allows to use the same argument to scale similar theorems that were proven using distinctly different tools. We demonstrate the versatility of our approach via examples from both revealed-preference theory and matching theory.
翻译:许多经济理论模型引入了有限性假设,这些假设虽为简化分析而设,却在实际分析中发挥着实质性作用。我们提出了一种基于原则的框架,通过移除这些有限性假设来扩展此类模型的结果。我们的充分条件仅针对定理陈述本身,而非其证明过程。这既带来了简洁的证明,甚至还能用同一论证方法扩展那些使用完全不同工具证明的相似定理。我们通过显示偏好理论和匹配理论中的实例,展示了这一方法的通用性。