8-Basic Rock Paper Scissors

import sys
print("Rock Paper Scissors Rules: ", "\nRock(R) beats scissors \nScissors(S) beats paper \nPaper(P) beats rock ")
scoreP1 = 0
scoreP2 = 0
scoreLimit = int(input("Pick when to win (eg. 4 = whoever gets 4 point first wins...): "))
while True:
    player1 = str(input("Player1's turn: "))
    player2 = str(input("Player2's turn: "))
    if player1 == "exit" or player2 == "exit":
        sys.exit()
    elif scoreP1 == scoreLimit:
        print("Player1 WON THE GAME!")
        sys.exit()
    elif scoreP2 == scoreLimit:
        print("Player2 WON THE GAME")
        sys.exit()
    elif player1 == "r" and player2 == "s":
        print("Player1 wins!")
        scoreP1 += 1
        print("Player1's score: ", scoreP1)
        print("Player2's score: ", scoreP2)
    elif player1 == "r" and player2 == "r":
        print("Tie!")
    elif player1 == "r" and player2 == "p":
        print("Player2 wins!")
        scoreP2 += 1
    elif player1 == "s" and player2 == "s":
        print("Tie!")
    elif player1 == "s" and player2 == "r":
        print("Player 2 wins!")
        scoreP2 += 1
    elif player1 == "s" and player2 == "p":
        print("Player 1 wins!")
        scoreP1 += 1
    elif player1 == "p" and player2 == "s":
        print("Player 2 wins!")
        scoreP2 += 1
    elif player1 == "p" and player2 == "r":
        print("Player 2 wins!")
        scoreP2 += 1
    elif player1 == "p" and player2 == "p":
        print("Tie!")
    else:
        print("Please type 'r' for rock 'p' for paper and 's' for scissors")