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Differential equations and stability of competitive economy
 Šabata, Marek ; Bárta, Tomáš (advisor) ; Adam, Tomáš (referee)
In the thesis, the author will analyse the theory of differential equations and its applications in economic model of price adjustment processes in competitive markets. First of all, the economic model sufficient to study stability of the market is introduced. Next microeconomic theory of competitive markets is presented and theory of differential equations is laid out, including the stability theory. Differences between the general model and the pure exchange model are discussed. Under certain microeconomic assumptions such as weak axiom of revealed preferences, gross substitutability, Walras's law and other properties of competitive markets, local and global stability of the market is proved. Powered by TCPDF (www.tcpdf.org)
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