E03213: SPRING 2020 PHILIP NEARY ASSESSED PROBLEM SET 3. Facebook or the new \"BETTER\" version of Google Plus? Now consider a modication to the above story. Suppose that Google decide to make one last attempt to crack the social media market. Specically, they take on board all the existing complaints about Facebook, and spend months amending the Google Plus platform so that it is free of \"deciencies\". Everyone agrees that the resulting amendments have not hurt the platform. In fact, a particular subset of the population now thinks Google Plus is the superior platform. However, despite the improvements, some people still prefer Facebook as before. The following makes this new story more prec1se: o The entire population has 20 people. As before, each person chooses one social media platform to exist on. The two available options are the same: Facebook (f) and Google Plus (9). o The population is now split split into two groups, A and B, and those in different groups have different preferences. Those in Group A prefer Facebook, while those in Group B prefer Google Plus. 0 Once each person has chosen an online platform, he/she interacts pairwise with everyone else in the population, where the same platform is used with everyone. With two groups there are now three types of 2x2 game: two A types interact via the game GALA, two B types interact via the game GBB, while an A type interacts with a B type via GAB. The games are depicted below. Payoffs are computed as before