MathDB
ASU 579 Commonwealth of Independent States 1991 vectors game

Source:

August 15, 2019
vectorgame strategygamecombinatorics

Problem Statement

19921992 vectors are given in the plane. Two players pick unpicked vectors alternately. The winner is the one whose vectors sum to a vector with larger magnitude (or they draw if the magnitudes are the same). Can the first player always avoid losing?