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：许多经济理论模型都包含了有限性假设，虽然是为了简化问题，但实际上在分析中扮演了重要的角色。我们提供了一个基于原定理无穷可判定条件的框架，可以去除这些有限性假设，扩展这些模型的结果。我们提供的判定条件仅限于定理本身，而不在于其证明。这导致证明短小精悍，甚至可以使用相同的方法推广那些不同工具证明的相似定理。我们通过展示揭示偏好理论和匹配理论中的例子来展示我们方法的多样性。