2´2 - :
= , = .
1 =, 2=1 , q 1 =q, q 2=1 q,
HA(, q) = a 11 pq + a 12 p (l - q) + a 21(l - p) q + a 22(1 - p)(l - q),
HB(, q) = b 11 pq + b 12 p (l - q) + b 21(l - p) q + b 22(1 - p)(l - q),
0 £ £ 1, 0 £ q £ l.
. ,
(p*, q *), 0 £ * £ 1, 0 £ q* £ l,
, q, 0 £ £ 1, 0 £ q £ l, :
HA(, q*) £ HA(*, q*), HB(*, q) £ HB( *, q *). (2.7.3)
. (2.7.3) : , ( *, q *), , , , . , , .
(. ). ( ) .
, . ?
.
. (2.7.3)
HA(0, q*) £ HA(*, q*), HB(*, 0) £ HB(*, q*), (2.7.4)
HA(1, q*) £ HA(*, q*), HB(*, 1) £ HB(*, q*).
, , (p*, q*) , (2.7.2) ( = 0 = 1) (q = 0 q = 1).
, :
(p*, q*) , :
(p- 1)(Cq- a) ³ 0,
p (Cq- a) ³ 0,
(q- 1)(Dp- b)³0, (2.7.5)
q (Dp - b) ³ 0,
0 £ £ 1, 0 £ q £ l,
= a 11 a 12 a 21 + a 22, a = a 22 a 12,
D = b 11 b 12 b 21 + b 22, b = b 22 b 21,