The payoff matrix for a game is   4 3 3   0 2 0 −2 0 2. Compute the expected payoffs of the game for the pairs of strategies in parts (a–d). (Round your answers to two decimal places.) (a)     P  =    1 3 1 3 1 3  , Q  =    1 3     1 3   1 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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The payoff matrix for a game is

 
4 3 3
 
0 2 0
−2 0 2
.

Compute the expected payoffs of the game for the pairs of strategies in parts (a–d). (Round your answers to two decimal places.)

(a)    
P  = 
 
1
3
1
3
1
3
 
, Q  = 
 
1
3
 
 
1
3
 
1
3

E = 

(b)    
P  = 
 
1
4
1
2
1
4
 
, Q  = 
 
1
8
 
 
3
8
 
1
2

E = 

(c)    
P  = 
 
.4 .3 .3
 
, Q  = 
 
.6
 
.2
.2

E = 

(d)    
P  = 
 
.1 .5 .4
 
, Q  = 
 
.3
 
.3
.4

E = 

 

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