help please

Imagine three players, 1, 2 and 3, that have to vote for one of three alternatives, A, B and C. Players vote simultaneously and abstaining is not allowed. The alternative with the most votes wins and if no alternative receives a majority, then alternative A is selected. The ranking (and associated payoff) of each player is given by: u1 (A) = u2(B) = u3(C) =2 UI (B) = u2 (C) = u3(A) = 1 us (C) = U2(A) = u3(B) = 0.Thus, player 1 prefers alternative A to be the winner, player 2 prefers alterna- tive B to be the winner and player 3 prefers alternative C to be the winner. a. Write down the normal-form of this game; b. Find all the (pure) Nash equilibria