Question 41
Mojtaba and Hooman are playing a game. Initially Mojtaba draws $2018$ vectors with zero sum. Then starting with Mojtaba, each player takes a vector and puts it on the plane. After the first move, the players must put the starting point of their vector on the end of the vector that the previous person drew, until a closed polygon is established. If this polygon is not self-intersecting, Mojtaba is the winner and otherwise Hooman is the winner. Who has a winning strategy?