Le principe de Yao

i j
ai,j −ai,j ai,j
 i i
v0
I
 j j
v0
II
 v0
Iv0 II
 v0
Iv0 II
x= (xi)
y= (yj)xi>0yj>0Pixi= 1 Pjyj= 1 x y
xAyt
 x
x
vI
vII
vI=vII
B n x = (x1, ..., xn)
p1...pn+1
n
X
i=1
pixi=pn+1 y
n
X
i=1
piyi>
pn+1
z B x pi
m×n
(i) 0 m m +n a1
anA e1= (1,0, ..., 0) em
(ii)x1xmj
n
m
X
i=1
ai,j xi>0

 vI60< vII
k vI6k < vII
vI=vII (x, y)
 n t(n)
n