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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.
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Basic definitions
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Convex Sets
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Open and Closed ε-Balls
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Continuity
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Weierstrass Theorem
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Real-Valued Functions
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Level Sets
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Concave Functions
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Summary
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Calculus
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Functions of a single variable
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Functions of several variables
The Hessian of a function of several variables The Hessian is symmetric
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Homogeneous Functions
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Unconstrained Optimization
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Unconstrained Optimization
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Constrained Optimization w/ Equality Constrains
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Envelope Theorem Describes how the optimal value of the objective function in a parametrized optimization problem changes as one of the parameters changes
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Comparative Statics Consider a system of equations with 2 unknowns (x and y) and a parameter t: Determine
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Inverse Function Theorem
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