In a game of tennis, does having "deuce" (as compared to a simple "first to 4 points" system) help, hurt, or not affect the better player?
Details and Assumptions:
- The "better player" wins each point with fixed probability p>0.5.
- In "deuce" rules, if the game reaches 3-3, the winner is the first person to subsequently lead by 2 points (colloquially, "win by 2").