RPS Game (Python)

#Rock Paper Scissors

from random import randint

def play_game():

    choices = {1: "Rock", 2:"Paper", 3:"Scissors"}

    user_score = 0
    comp_score = 0
    game_number = 1

    while True:

        comp_choice = randint(1, 3)
        comp_choice = choices[comp_choice]
        print "Game Number: " + str(game_number)
        user_choice = raw_input("Choose rock(1), paper(2) or scissors(3). Or q to quit")

    if user_choice not in ["1", "2", "3", "q"]:
            print "Invalid input"
            continue
        elif user_choice in ["q", 'Q', "quit"]:
            print"Thanks for playing"
            break

        user_choice = int(user_choice)
        user_choice = choices[user_choice]

        print(user_choice + " vs " + comp_choice)

        if user_choice == comp_choice:
            print("It's a tie!")
            user_score += 1
            comp_score += 1

        elif (user_choice=="Rock" and comp_choice=="Scissors") or (user_choice=="Paper"and comp_choice=="Rock") or (user_choice=="Scissors" and comp_choice=="Paper"):
            print("You win!")
            user_score += 1

        else:
            print("The computer wins!")
            comp_score += 1

        game_number += 1


        print "User Score: " + str(user_score)
        print "Computer Score: " + str(comp_score)
        print("---------------------------------")
        continue

play_game()