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Dušan Drabik de Leeuwenborch 2105

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Presentation on theme: "Dušan Drabik de Leeuwenborch 2105"— Presentation transcript:

1 Dušan Drabik de Leeuwenborch 2105 Dusan.Drabik@wur.nl
Math Review Dušan Drabik de Leeuwenborch 2105 The material contained in these slides draws heavily on: Geoffrey A. Jehle and Philip J. Reny (2011). Advanced Microeconomic Theory (3rd Edition). Prentice Hall, 672 p.

2 Basic definitions

3 Convex Sets

4 Open and Closed ε-Balls

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6 Continuity

7 Weierstrass Theorem

8 Real-Valued Functions

9 Level Sets

10 Concave Functions

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15 Summary

16 Calculus

17 Functions of a single variable

18 Functions of several variables
The Hessian of a function of several variables  The Hessian is symmetric

19 Homogeneous Functions

20 Unconstrained Optimization

21 Unconstrained Optimization

22 Constrained Optimization w/ Equality Constrains

23 Envelope Theorem Describes how the optimal value of the objective function in a parametrized optimization problem changes as one of the parameters changes

24 Comparative Statics Consider a system of equations with 2 unknowns (x and y) and a parameter t: Determine

25 Inverse Function Theorem


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