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有限性假设,这些假设虽然是为简单而引入的,但在分析中发挥了真正的作用。我们通过取消这些有限性假设,为衡量这些模型的成果提供了一个原则框架。 我们的充足条件仅存在于理论陈述上,而不是其证据上。这导致简短的证明,甚至允许使用同样的论据来衡量使用截然不同的不同工具证明的类似理论。我们通过从披露的参考理论和匹配理论中提供的例子来证明我们的方法的多功能性。