Mathematics for Economists

(Greg DeLong) #1

Optimal stopping


αT = E(ξT)
αn = αn+ 1 ( 1 F(αn+ 1 ))+

Zαn+ 1
0

xdF(x)

If(ξn)is uniform on[ 0 , 1 ], then

αT =

1


2


αn = αn+ 1 ( 1 αn+ 1 )+

α^2 n+ 1
2

=αn+ 1 

α^2 n+ 1
2

.

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