Mathematics for Economists

(Greg DeLong) #1

Constrained local su¢ cient conditions


Obviously

(^)
F^0 (x 0 )(xx 0 )+o(kxx 0 k)
(^2)


(^)
F^0 (x 0 )(xx 0 )
(^2)



  • +ko(kxx 0 k)k^2 +


  • 2
    F^0 (x 0 )(xx 0 ),o(kxx 0 k)


    =
    (^)
    F^0 (x 0 )(xx 0 )
    (^2)
    +o







kxx 0 k^2




.

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