主觀選擇或客觀積累觀點下之資本存量的長期行為與意涵

Abstract

在本篇論文中，我們介紹兩個從不同觀點來分析資本存量行為的數學模型，以及伴隨它們而來的經濟意涵。

事實上，在一般的經濟學教科書或文章中，早已可以找到對於此二模型與其相關結果的介紹。然而，為了編排上的考量或講解上能夠更加流暢，在介紹過程中有時被視為過於純技巧性的數學證明與細節常予以跳過或省略。而我在本篇論文中試圖去做的，便是在具備基本的數學分析知識的前提下，以我自己想要呈現的方式來補上相關的數學證明或細節。

In this thesis, we introduce two mathematical models, as well as their accompanying implications, that analyze the behavior of capital stock from different points of view. Actually, these two models and other related results are already widely introduced in economics textbooks and papers; however, detailed mathematical proofs, which are sometimes deemed purely technical, were often skipped or omitted to make the illustration more fluent or well-organized. And, what I attempt to do in this thesis is to recover these details in my own way with prerequisite knowledge of only fundamental mathematical analysis.