In: Economics
You and 9 of your wealthy friends attend a political fundraiser.
You each can donate up to $1,000,000 to the candidate. Let M be the
sum of all 10 donations; it is convenient to write
M=Mi+M-i, where Mi is the donation by person
i, and M-i is the sum of the donations by the other
people. Suppose Adelsoros wants to have as much money as possible
be donated. He will still offer to donate $1,000,000 as long as the
sum from the first 10 donors is at least X.
How high can X be so that there is still a Nash equilibrium in
which everyone donates? Explain.