Mathematics for Economists

(Greg DeLong) #1

Optimal stopping


αT = 0.
αt = E(max(αt+ 1 ,ξt))=

Zαt+ 1
0

αt+ 1 dF(x)+

Z∞
αt+ 1

xdF(x)=

= αt+ 1 F(αt+ 1 )+

Z∞
αt+ 1

xdF(x).
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