Page 199 - DCOM303_DMGT504_OPERATION_RESEARCH

Operations Research

Notes 12. Solve the game whose payoff matrix is given by,

 
 
 
 
13. Solve the following payoff table and obtain the value of the game where 0 < a < a < a
1 2 3
<….< a < a
5 6
 
 
 
 

14. Solve the game:

 
 
 
 
15. Solve the following game:

 
 
 
 
16. There are two competing stores R and C in a city. Both the stores have equal reputation
and the total number of customers is equally divided between the two. Both the stores
plan to run annual discount sale on the last week of December. For this they want to attract
more number of customers by using advertisement through newspaper, radio and
television. By seeing the market trend, the store R constructed the following payoff matrix
where the numbers in the matrix indicate a gain or loss of customers.

 
  
  
 
 
Find the optimal strategies for both the stores along with the value of the game.

Answers: Self Assessment

1. Strategy 2. Pure Strategy
3. Mixed strategy 4. Saddle Point
5. Value of the Game 6. False
7. True 8. False

9. (c) 10. (a)
11. (b)

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