Suppose there are two groups with voting powers, each number of them has shares to vote: Group1={30%,30%} and Group2={40%}. (numbers show the voting power that each member owns of that group)

Members of Group1 support for staying at home and the members of Group2support a proposal for going. If nobody shows up in the meeting, the staying home will survive. The unchanged cost of going to vote is 10. The payoff of obtaining your ideal outcome is 20 and losing won't be punished but payoff is 0.

Show that in the pure Nash equilibrium of the game why Group2 wins.