Does Deuce Help?

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").

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