Titlebook: Mathematical Methods in Dynamic Economics; András Simonovits Book 2000 Palgrave Macmillan, a division of Macmillan Publishers Limited 2000

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Nonlinear Difference Equationsnd stability of . extending theorems for linear systems to nonlinear ones. In Section 3.2 we shall study . In Section 3.3 the so-called . will be analyzed where the paths depend sensitively on the initial states. Useful information can be found in Guckenheimer (1979), Guckenheimer and Holmes (1986),

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Discrete-Time Nonlinear Models shall analyze time-invariant . in this Chapter. These models yield cycles and more complex behavior not only as exception but as rule. In Section 4.1 . are analyzed by reduction to the logistic model of Section 3.3. In Sections 4.2-4.4 we shall generalize the linear models of Chapter 2 to nonlinear

有偏見(jiàn)

Ordinary Differential Equationso time (or another scalar). Since we shall always consider ordinary differential equations in this book, we shall drop the adjective . We shall see the deep similarity between the theorems on differential equations and those on difference equations. To avoid lengthy references to Chapters 1 and 3, w

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Applications of Dynamic Programmings follow. Sections 8.1 and 8.2 discuss optimal saving (exogenous factor prices) and accumulation (endogenous factor prices), respectively. Section 8.3 extends the analysis of Section 8.2 to the n-dimensional case. Section 8.4 presents a game-theoretic application of dynamic programming (due to Levha

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