Question
Two firms, Lafarge Cement and Dangote Cement dominate Zambia's cement industry. The larger firm, Lafarge Cement, is considering launching an expensive advertising campaign which may
Two firms, Lafarge Cement and Dangote Cement dominate Zambia's cement industry.
The larger firm, Lafarge Cement, is considering launching an expensive advertising
campaign which may be matched by its main rival, Dangote Cement. If neither firm
makes the launch, the revenue for Lafarge Cement is K7, 000 per week and the
revenue for Dangote Cement is K8, 000 per week. If both make the launch, they gain
customers. Weekly revenues are K10, 000 and K14, 000 for Lafarge and Dangote
Cement, respectively. If Lafarge Cement makes the offer and Dangote Cement does
not, their weekly revenues are K18, 000 and K6, 000, respectively as Dangote Cement
loses some customers to Lafarge Cement. On the other hand, if Lafarge Cement does
not make the launch and Dangote Cement does, their weekly revenues are K4, 000 and
K20, 000, respectively as Lafarge Cement loses some customers to Dangote Cement.
a) Is this a cooperative or non-cooperative game? Justify your answer. [5 MARKS]
b) Analyse the game using both the extensive and normal form. [5 MARKS]
c) In your analysis, is there a Nash-equilibrium? [2 MARKS]
d) What are the players' equilibrium strategies? And payoffs in equilibrium?
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