, 2´2, S*A={P*1a,P*2a}; S*B={P*1b,P*2b}.
| S1b | S2b | ³ 㳿, , 㳿 S*A γ , S*B, S1b, S2b. | |
| S1a | 11 | 12 | |
| S2a | 21 | 22 |
11× P*1a+ 21× P*2a=γ ( B - S1b) 
12× P*1a+ 22×P*2a=γ ( B - S2b) ()
㳿 B - S*B
11× P*1b+ 21× P*2b= γ ( - S1) 
12× P*1b+ 22× P*2b= γ ( - S2) ()
P*1a, P*2a, P*1b, P*2b γ, ( ).
()
; 
; 
(4.2)
()
; ; 
(4.3)
(2 - 3) 
. (4.4)
(2.4) ( ).
. SA={P1a,P2a} - S1b - γ1=11×P1b+21×P2b=(11-21)P1+21. 㳿 - S2b: γ2=12×P1+22×P2b=(12-22)P1+22.
S1b, S2b . 
.
ij γ1 γ1 - P1, 
γ1 (γ1<γ2), γ2 (γ1>γ2).
, 
SA, γ. (2.4) .2, .3.
 | |||
 | |||
.2. .3.
P1a, - . (0,21); (1,11); (0,22); (1,12). P*1a , γ1 γ2 Þ (11-21)P1+21=(12-22)P1+22, (2) P*1a: 
.
P*1b P*2b (4) , .4, .5, (0,12) (1,11) γ1 (0,22) (1,21) γ11 
, γ1=11×P1b+12×P2b, γ11=21×P1+22×P2b 
.
 | |||
 | |||
.4. .5.
5.
| -1 | |
| -3 |
㳿 . 11=2; 21=-3; 12=-1; 22=4
, .
α =max{-1;-3}=-1, β =min{2;4}=2, α ¹β. (0; -3) (1;2) 
, .6, (0;4) (1;-1) - 
, .6. (0;-1) (1;2) 
, .7, (0;4) (1;-3) - 
, .7.
 | |||
 | |||
|
|
|
.6. .7.
Max 
P*1=0,7 0,5; - P*1b=0,5 0,5. (2 3).
S*A=(0,7;0,3); S*B=(0,5;0,5).
2´n, . : S*A={P*1a,P*2a}; S*B={P*1b,P*2b,,P*nb}... Sjb S*A, γ=11×P*1a+21×P*2a;;γ= =1n×P*1a+2n×P*2a. , Sia S*B, γ=11×P*1b+12×P*2b++ 1n×P*1a; γ =21×P*1b+22×P*2b++ 2n×P*nb; 
.
| , 2´2. . | S1b | S2b | Snb | ||
| S1a | 11 | 12 | 1n | ||
| S2a | 21 | 22 | 2n |
S*A, S*B:
1) n γ1=(11-21)P1+21, γ2=(12-22)P1+22,,γn=(1n-2n)P1+2n, 
, (P*1a;γ);
2) - , ;
3) 㳿, Srb Skb 2´2 S1 S2.
4) 2´2 .
m´2. , γi=(i1-i2)P1b+i2, i=1,2,,m 
, 
P*1b (P*1b,γ) 2´2.
| 6. 4´2. α =1< β =3. 1) γi=(i1-i2)P1b+i2, i=1,2,3,4, . 8. γ1=(11-12)P1b+12=(3-1) ×P1b+1= 2×P1b+1, γ2=(21-22)P1b+22= -5P1b+3, γ3=(31-32)P1b+32=8P1b-3, γ4=(41-42)P1b+42= -1,5P1b+2. | S1b | S2b | |
| S1a | |||
| S2a | -2 | ||
| S3a | -3 | ||
| S4a | 0,5 | ||
P*1b=0,29, γ =1,56. γ1, γ2, γ4. 㳿 S1a, S2a, S4a.
2) , , γ1 γ2.
3)
4)
|
, . S*A=(2/7,5/7,0,0), S*B=(2/7,5/7), γ =11/7.
γ1 γ4,
| ½ |
S*A=(3/7,0,0,4/7), S*B=(2/7,5/7), γ =11/7.
