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Mathematics I

HSG Master Mathematics

HSG Master Mathematics


Kartei Details

Karten 8
Sprache English
Kategorie VWL
Stufe Universität
Erstellt / Aktualisiert 25.10.2014 / 30.10.2015
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HAMILTONIAN

What are the assumptions for the Hamiltonian?

Continously differentiablilty

HAMILTONIAN

How to construct the Hamiltonian?

4 conditions:

HAMILTONIAN

When is the global optimal solution also sufficent?

Concavity

HAMILTONIAN

What is the Transversality  condition?

The transversality condition requires the present value of the state variables to converge to zero as the planning horizon recedes towards infinity. The first-order and transversality conditions are sufficient to identify an optimum in a concave optimization problem. Given an optimal path, the necessity of the transversality condition reflects the impossibility of finding an alternative feasible path for which each state variable deviates from the optimum at each time and increases discounted utility

CONVEXITY

Examples of convex and concave functions?

They are convex/concave if:

Convexity

When are functions convex/concave?

Twice differentiable

CONVEXITY

When is a matrix convex or concave?

Convex, concave

CONVEXITY

When are sums convex/concave?

If: