Consider the following N-person game: Each player chooses any real number between (and including) 1 and 100. The player whose choice of number is closest to the average choice of integer (among all N...

Consider the following N-person game: Each player chooses any real number between (and including) 1 and 100. The player whose choice of number is closest to the average choice of integer (among all N players) divided by 2 will win €1,000. Find all the Nash equilibria. What if the winner is the player whose choice of number is closest to minimum choice multiplied by 2?