Problem 5. Consider a game (N, v) in which the coalitions are partitioned in two: 2% = WU L, with WN L empty. The function v(S5) is 1 when S W and 0 when S L. The coalitions in W are the \"winning\" coalitions and the others are the \"losing\" Coalitions Suppose that: e feL. e SeWiff Se L. e SWand S CT implies that T W. Let V={i e N:ie Sforall S W} be the set of veto players. 1. Show that if V' = ) (there are no veto players) then the core of the game is empty. 2. Suppose that V' # (). Show that x is a core imputation iff ), z; = 1. In words, the veto players get everything