I need help for this problem on voting!

  • Three voters vote over two candidates (A and B), and each voter has two pure strategies: vote for A and vote for B.
  • When A wins, voter 1 gets a payoff of 1, and 2 and 3 get payoffs of 0; when B wins, 1 gets 0 and 2 and 3 get 1. Thus, 1 prefers A, and 2 and 3 prefer B.
  • The candidate getting 2 or more votes is the winner (majority rule)

Q1) Find all very weakly dominant strategies.
Q2) Find all pure strategy Nash equilibria.