rps.py

# Play the fun game of Rock-Paper-Scissors:

import random

def rock_paper_scissors():
    options = ["rock", "paper", "scissors"]
    auto_selection = random.choice(options)
    user_selection = input ("\nSelect one of the following: \nROCK! PAPER! SCISSORS! ")
     
# You don't need ( ) around True     
    while (True):
        if (user_selection.lower() in options) == False: # You don't need ( )
            print("This is not a valid selection. Try again \nTo quit, type \"quit\" anytime.")
            rock_paper_scissors() # this line of code is not necessary because it is inside a while-loop. It happens anyway
            break # remove
       
        if (options.index(auto_selection) - options.index(user_selection.lower()) == 1) or (options.index(auto_selection) - options.index(user_selection.lower()) == -2):
            print ("You loose. Play again ")  # You don't need ( )
            print ("I selected " + auto_selection)
            rock_paper_scissors() # this line of code is not necessary because it is inside a while-loop. It happens anyway
            break # remove
        # put a space here
        elif options.index(auto_selection) - options.index(user_selection.lower()) == 0:
            print ("You're even. Play again" )
            print ("I selected " + auto_selection)
            rock_paper_scissors() # this line of code is not necessary because it is inside a while-loop. It happens anyway
            break # remove
        else:
            print ("You win!")
            print ("I selected " + auto_selection)
            break

rock_paper_scissors()