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| 研究生： |
許勝溢 Sheng-Yi Hsu |
|---|---|
| 論文名稱： |
競爭經濟的演化均衡區塊 Evolving equilibrium spot of competitive economy |
| 指導教授： |
施茂祥
Shih, Mau-Hsiang |
| 學位類別： |
博士 Doctor |
| 系所名稱： |
數學系 Department of Mathematics |
| 論文出版年： | 2011 |
| 畢業學年度： | 99 |
| 語文別： | 英文 |
| 論文頁數： | 27 |
| 中文關鍵詞： | 演化均衡區塊 、漸近指數 |
| 英文關鍵詞： | evolving equilibrium spot, asymptotic index |
| 論文種類： | 學術論文 |
| 相關次數： | 點閱：142 下載：3 |
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我們建立一個超需函數及均衡價格隨外生變數--如效益函數，經濟個體預算，或資源--而變化的模型。研究此模型的主要工具是演化均衡區塊的概念，用來控制供需及價格的互動。我們證明了儘管超需函數及均衡會波動，演化均衡區塊仍存在，說明了非自主系統中演化均衡的傳播穩定性。結果是，當外生變數穩定地變化時，演化均衡區塊的存在性代表了從供需及價格的後設複雜中衍生出的自我控制力量，引導各商品的價格追逐帶領著所有供需進入動態平衡的演化均衡價格。
We construct a model in which the excess demand function and equilibrium price system evolve in time which represents that the economic exogenous parameters -- be they utility functions, agents' budgets or resources -- vary in time. The principal tool of the study of this model is the concept of evolving equilibrium spot, which is used to control the supply-demand-price interaction. It is shown that despite of the excess demand function and equilibrium fluctuating, an evolving equilibrium spot can exist, elucidating the propagative stability of evolving equilibrium of a nonautonomous dynamical system. As a result, when the exogenous parameters vary steadily the existence of an evolving equilibrium spot represents the existence of self-regulation forces emerging from the meta-complication of the supply-demand and prices, guiding the price of each commodity to chase the evolving equilibrium price that brings overall supply and demand into dynamic balance.
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[2] K. J. Arrow and G. Debreu, Existence of an equilibrium for a competitive economy. Econometrica. 22 (1954), pp. 265-290.
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[4] J. Eatwell, M. Milgate, and P. Newman, The New Palgrave: A Dictionary of Economics. Macmillan Press, 1987.
[5] J. R. Hicks, Value and Capital, Oxford: Clarendon Press, 1939.
[6] J. R. Hicks, Capital and Growth, Oxford University Press, 1965.
[7] P. A. Samuelson, The stability equilibrium: Comparative statics and dynamics, Econometrica. 9 (1941), pp. 97-120.
[8] P. A. Samuelson, The stability of equilibrium: Linear and nonlinear systems, Econometrica. 10 (1942), pp. 1-25.
[9] M.-H. Shih, J.-W.Wu, and C.-T. Pang, Asymptotic stability and generalized Gelfand spectral radius formula, Linear Algebra and its Applications. 252(1997), pp. 61-70.
[10] M.-H. Shih, Simultaneous Schur stability, Linear Algebra and its Applications. 287 (1999), pp. 323-336.
