Please help me with this game theory question

'2. Faceboook or Google'? Suppose there are only two main social media sites in the world, Facebook and Google. Suppose further that initially there was only one: Facebook, but that there was a lot of dissatisfaction with it. For example, complaints ranged from: 'they changed the way the news feed works', Ithe privacy settings are awful', 'there are too many game notications', 'why am I fri-ds with people who post things like that?!', and so on. Recognising customer dissatisfaction with Facebook, Google has tried three times to enter the social networking market, rst with Buzz, then with wave! and most recently with Google Plus. Some say that the current Google Plus platform is superior to Facebook's, yet it seems to be accepted that the rst version of Google Buzz was not. Let's compare Facebook with the rst 'inferior' version of Google Buzz. Specically, c There is a 'large' population of N people. I Social media is timeconsuming, so, while everybody wants to exist on a platform, each person has time for only one platform with the only two available options being Facebook and Google Buzz, denoted by f and g respectively. That is, each individual makes a choice from the set {f, g}. - Once a person has chosen an online platform, she interacts pairwise with everyone else in the population via the following 2playel' game [with players labelled F1 and P2), where the same platform is used with everyone else. F2 9 f P, fElil tam- {a} was this is not a dynamic situation, the utility functions to this large population interaction are closely related to those given on slide #30 of Lecture 9. As precisely as pomible, relate the situation above to the parameters on slide #3D. [Hintz you can ignore the 15 from slide #SD.] {b} 1What are the pure strategyr Nash equilibria for this large population game? [c] 1What online platform would you expect the population to and up using? Briey explain why. {d} Suppose Google tried to make their platform compatible with Facebook [and that Facebook were powerless to prevent this}. [n no more than four short sentences, discuss how this might change individual's utility functions, and whether it would make Google more likely to emerge as the online platform adopted by everyone