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3. Netix with unlimited sharing Netflix is an American mediaservices provider and production company headquartered in Los Gatos, California. The company's primary business is its subscriptionbased streaming service which offers online streaming of a library of lms and tv programs. There is a society of six individuals, {1, 2, 3, 4, 5, En}, who are connected in a social network as below. If there is a link between two individuals, then that pair of individuals are friends. If there is no link between two individuals, then that pair are not friends. All individuals like Netflix. Specically, if someone views Netix they get a benet of 1. However, Netix is costly which is bad. To purchase a Netix account costs 6 E (ll, 1}. Netix allow multiple devices to stream simultaneously. This means that if some indi vidual purchases a Netix account, then hefshe will share with all of hisf' her friends. Each individual has strategy set {i}, 1} where 1 means to purchase a Netix account and ll means to not purchase. The payoff to individual 1' depends directly on what hisjher friends do. Writing 3,- for the strategy of person i, and s_,- for the vector of strategies of everyone other than 1i, the payoff to person i, 1r{s;, s_,-) is ll} s ) _ 1, if some friend chose to purchase an account I " _ 0, if no friend chose to purchase an account Tr,[1, s_,-) = 1 c, for all 5-,- Answer the following: {a} 5 marks Does any player have a dominant strategy {strictly or weakly}? {b} Does any player have a dominated strategy (strictly or weakly}? {c} m Find all the pure strategy nash equilibria. [Either write out mathematically or depict graphically.)