Question 23
Ana and Benito play 2020 rounds. Initially cards numbered 1 through 2020 lie on the table, and Ana has an extra card numbered 0. In round $k$, the player who does not hold card $k-1$ decides whether to take card $k$ or give it to the other player. Each card is worth its number of points. At the end, the player with more points wins. Determine who has a winning strategy, or whether both can force a draw, and describe the strategy.