Problem #PRU-30449

Problems Set theory and logic Theory of algotithms Game theory Symmetric strategies

Problem

There are twenty dots distributed along the circumference of circle. Consider the game with two players where: in one move a player is allowed to connect any two of the dots with a chord (aline going through the inside of the circle), as long as the chord does not intersect those previously drawn. The loser is the one who cannot make a move. Which player wins?