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  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 數學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/23573
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dc.contributor.advisor王振男(Jenn-Nan Wang)
dc.contributor.authorAn-Tsu Chenen
dc.contributor.author陳安祖zh_TW
dc.date.accessioned2021-06-08T05:04:08Z-
dc.date.copyright2011-02-20
dc.date.issued2011
dc.date.submitted2011-02-10
dc.identifier.citationBibliography
[1] R. J. Barro and X. Sala-i-Martin, Economic Growth, The MIT Press, (2003).
[2] W. E. Boyce and R. C. Diprima, Elementary Differential Equations and Boundary Value Problems, John Wiley & Sons,(1986).
[3] W. A. Brock and L. J. Mirman, Optimal Economic Growth and Uncertainty: The Discounted Case, Journal of Economic Theory 4 (1972), 479–513.
[4] D. Cass, Optimal Growth in an Aggregative Model of Capital Accumulation, Rev. Econ. Studies 32 (1965), 233–240.
[5] A. C. Chiang, Elements of Dynamic Optimization, McGraw-Hill, Inc., (1992).
[6] G. Chow, Dynamic Economics, New York, Oxford University Press, (1997).
[7] S. B. Hsu, Ordinary Differential Equations with Applications, World Scientific, (2005).
[8] T. Koopmans, On the Concept of Optimal Economic Growth, Pontificau Academiae Scientiarum Scripta Varia (1965), No.28, 225–300.
[9] H. E. Leland, Saving and Uncertainty: The Precautionary Demand for Money, Quart. J. Econ. (1968).
[10] D. Levhari and T. Srinivasan, Optimal Savings under Uncertainty, Rev. Econ. Studies (1969), 153–164.
[11] L. Ljungqvist and T. J. Sargent, Recursive Macroeconomic Theory, The MIT Press, (2004).
[12] N. G. Mankiw, Macroeconomics, Worth Publishers, (2006).
[13] A. Mas-Colell and M. D. Whinston and J. R. Green, Microeconomic Theory, Oxford University Press, Inc., (1995).
[14] D. Romer, Advanced Macroeconomics, McGraw-Hill, Inc., (2006).
[15] R. M. Solow, A Contribution to the Theory of Economic Growth, Quart. J. Econ. 70 (1956), 65–94.
[16] N. L. Stokey and R. E. Lucas, Jr., Recursive Methods in Economic Dynamics, Harvard University Press, (1989).
[17] D. N. Weil, Economic Growth, Addison Wesley, (2009).
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/23573-
dc.description.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。
zh_TW
dc.description.abstractIn 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.
en
dc.description.provenanceMade available in DSpace on 2021-06-08T05:04:08Z (GMT). No. of bitstreams: 1
ntu-100-R97221039-1.pdf: 335707 bytes, checksum: e3a63407215c684dd31eed8d77b5b116 (MD5)
Previous issue date: 2011
en
dc.description.tableofcontentsContents
Abstract (in Chinese) i
Abstract (in English) ii
1 Introduction 1
2 The Production Function 4
2.1 Settings and Assumptions 4
2.2 Some Accompanying Facts 6
3 The Cass–Koopmans Growth Model 8
3.1 The Utility Function 8
3.2 The Basic Structure 9
3.3 The Existence of a Solution 9
3.4 The Uniqueness of the Solution 14
3.5 The Long-Run Behavior of the Solution 15
3.6 Some Further Comments on the Model 16
4 The Solow Growth Model 18
4.1 The Basic Structure 18
4.2 The Fundamental Equation 19
4.3 The Existence of a Global Solution 20
4.4 The Uniqueness of the Solution 21
4.5 The Long-Run Behavior of the Solution 22
4.6 Economic Implications of the Solow Model 22
5 Further Extensions of the Solow Model 25
5.1 A Non-Constant Saving Rate 25
5.1.1 The Basic Structure 25
5.1.2 Main Results and Conclusions 26
5.2 A Growing Level of Technology 27
5.2.1 The Basic Structure 27
5.2.2 Main Results 28
5.2.3 Conclusions 29
5.2.4 Some Further Remarks 30
Bibliography 31
dc.language.isoen
dc.title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zh_TW
dc.titleThe Long-Run Behavior and Implications of Capital Stock from either Subjective Choice or Objective Accumulation Point of Viewen
dc.typeThesis
dc.date.schoolyear99-1
dc.description.degree碩士
dc.contributor.oralexamcommittee陳宜良(I-Liang Chern),夏俊雄(Chun-Hsiung Hsia)
dc.subject.keyword資本存&#63870,經濟成長,長期行,為,zh_TW
dc.subject.keywordCapital stock,Economic growth,Long-run behavior,en
dc.relation.page32
dc.rights.note未授權
dc.date.accepted2011-02-10
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept數學研究所zh_TW
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