Chess ELO

Magnus and Hikaru engage in an infinite series of chess games. There are **no draws**; every game results in a decisive win for one of the players. Initially, Magnus has a rating of $R_m$, and Hikaru has a rating of $R_h$. In a game of chess, the probability of a player winning is directly proportional to their rating. The following rules apply: - If a player wins a game, their rating increases