In the town of Torrelodones, each of the N>2 inhabitants has $100. They are told that everyone can voluntarily contribute to a fund that will be divided equally among all residents. If $F is contributed to the fund, the local K-Mart will match private contributions to split the total amount. It's $2F. That is, each resident will receive a payment of $2F/N when the fund is divided. If the people of the city only care about