runner.py

import random


def base_strategy():
    return random.randrange(1, 10)


def computer_strategy(scores, player_answers, computer_answers,
        total_iterations, current_iteration):
    # ADD YOUR SOLUTION HERE


def compute_score(player_answer, computer_answer, scores):
    if player_answer + 1 == computer_answer:
        scores['computer'] += 2
    elif computer_answer + 1 == player_answer:
        scores['player'] += 2
    elif player_answer < computer_answer:
        scores['player'] += 1
    elif player_answer > computer_answer:
        scores['computer'] += 1
    return scores


def calculate_winner(scores, outcomes):
    if scores['player'] > scores['computer']:
        outcomes['player'] += 1
    elif scores['computer'] > scores['player']:
        outcomes['computer'] += 1
    else:
        outcomes['ties'] += 1
    return outcomes


# run!

if __name__ == '__main__':
    iterations = 100
    scores = {'player': 0, 'computer': 0}
    outcomes = {'player': 0, 'computer': 0, 'ties': 0}
    player_nums = []
    computer_nums = []
    for x in range(0, iterations):
        while scores['player'] < 5 and scores['computer'] < 5:
            player_answer = base_strategy()
            computer_answer = computer_strategy(
                scores, player_nums, computer_nums, iterations, x)
            player_nums.append(player_answer)
            computer_nums.append(computer_answer)
            compute_score(player_answer, computer_answer, scores)
        calculate_winner(scores, outcomes)
        scores = {'player': 0, 'computer': 0}
        player_nums = []
        computer_nums = []
    print('Results - Player {0}, Computer {1}, Tie {2}'.format(
        outcomes['player'], outcomes['computer'], outcomes['ties']))

@danielvatanabe rule clearly says, it can be any integer 1 or greater.

I believe line 44 is buggy while scores['player'] <= 5 and scores['computer'] <= 5:. I think as soon as a player win 5 points, the loop should end. But due to the above condition, the loop would not break even a player have 5 points. It will give another chance to the loser. The condition will still be true even both player have 5 points. The condition will be only false, when one user win 6 points.
So, I think the condition should be:

while True: # instead of "while scores['player'] <= 5 and scores['computer'] <= 5:"
    ... # code first, condition at the end.
    if scores['player'] == 5 or scores['computer'] == 5:
        break

@mahanmarwat not "== 5" but ">= 5". One could go from 4 to 6 and skip the conditional branch.

@MAGNUMpt Yes, you are right.

I think there will never be tie games even both players have the exactly same strategy given the game runner logic.