03} Answer the following questions by applying proper game theoretical analysis. Consider two major rms that sell laptop computers: Mapple and Oasis. Mapple's laptop is known for its stylish design and good computing power. It is particularly popular among teenagers and young adults even though its laptop usually commands a signicantly higher price than its competitors' products. Oasis is considering launching an innovative laptop to compete with Mapple in the laptop market. Thus, Mapple must decide whether to continue its highprice strategy or to deter Oasis from launching its new product by cutting its price. One of the following scenarios will eventually become the outcome of this game. 0 IfMapple continues its high~price strategy while Oasis launches the new laptop, Mapple will make an annual prot of 60 million of dollars while Oasis will make a prot equivalent to one~third of Mapple's annual prot. 0 If Mapple cuts the price while Oasis launches its innovative laptops, Mapple will make an annual prot ofS30m and Oasis will have an annual loss of $20m. - If Mapple continues its high~price strategy while Oasis does not launch the new laptops, Mapple will make an annual prot of $1 00m and Oasis will make a prot equivalent to 10% of Mapple's annual prot. 0 If Mapple cuts the price while Oasis does not launch its innovative laptops, Mapple will make an annual prot of $66m and Oasis will have an annual prot equivalent to lf6 of Mapple's annual prot. (i) Calculate the payoffs under each scenario and show a payoff matrix for this game. In the payoff matrix, place Mapple at the row and Oasis at the column. (ii) Based on the payoff matrix that you developed in the above question, discuss whether each rm has a dominant strategy and investigate whether this game has a Nash equilibrium or Nash equilibria. {iii} The CEO of Mapple has a reputation of always making a rational, logical, and reasonable decision under similar situations like this case. This CEO hinted to news media that Mapple will cut the price to drive Oasis' new laptop out of the market if Oasis launches its new product. Analyze whether the threat of Mapple's CEO is credible. {iv} Discuss with a game tree to determine whether outcome of the game will remain the same if a new rule that requires Mapple to announce its decision rst and then Oasis to respond to the decision of Mapple is added to this case