compute_mu_uncertainty(mu, players);
dump_scores(players, mu, mu_stddev, num_players);
//fprintf(stderr, "Optimal sigma: %f (two-player: %f)\n", sigma[0], sigma[0] * sqrt(2.0f));
compute_mu_uncertainty(mu, players);
dump_scores(players, mu, mu_stddev, num_players);
//fprintf(stderr, "Optimal sigma: %f (two-player: %f)\n", sigma[0], sigma[0] * sqrt(2.0f));