Consider an entry game with 16 players. All players decide independently and simultaneously whether to enter. If no more than 8 players enter, the entrants share (equally) a payoff of 16. If more than 8 players enter, 8 of the entrants are picked at random and these entrants share 16 (each gets 2) while the other entrants lose 5. Non-entrants get zero. Assuming risk neutrality, find a Nash equilibrium. How would the Nash equilibrium differ if players were risk averse?