Run with rules
r1) Actors have normally distributed abilities I call this 'advantage'.
r2') Actors are chosen randomly (each equally likely)
r3) Winner of competition wins one point from the loser

competitors: 1000 competitions: 0
0 has 19.9999%
1 has 20.0%
2 has 20.0%
3 has 20.0%
4 has 20.0001%
competitors: 1000 competitions: 100000
0 has 18.503%
1 has 19.4366%
2 has 20.0154%
3 has 20.5905%
4 has 21.4545%
competitors: 1000 competitions: 200000
0 has 17.093%
1 has 18.8917%
2 has 19.9917%
3 has 21.1742%
4 has 22.8494%
competitors: 1000 competitions: 300000
0 has 15.6656%
1 has 18.3068%
2 has 19.9743%
3 has 21.7946%
4 has 24.2587%
competitors: 1000 competitions: 400000
0 has 14.235%
1 has 17.7791%
2 has 19.9582%
3 has 22.3541%
4 has 25.6736%
competitors: 1000 competitions: 500000
0 has 12.8%
1 has 17.226%
2 has 19.9672%
3 has 22.9304%
4 has 27.0764%
competitors: 1000 competitions: 600000
0 has 11.363%
1 has 16.6538%
2 has 19.9643%
3 has 23.5317%
4 has 28.4872%
competitors: 1000 competitions: 700000
0 has 9.9155%
1 has 16.0919%
2 has 19.9694%
3 has 24.1137%
4 has 29.9095%
competitors: 1000 competitions: 800000
0 has 8.5274%
1 has 15.5143%
2 has 19.9783%
3 has 24.6867%
4 has 31.2933%
competitors: 1000 competitions: 900000
0 has 7.164%
1 has 14.9621%
2 has 19.9362%
3 has 25.2275%
4 has 32.7102%
competitors: 1000 competitions: 1000000
0 has 5.9533%
1 has 14.3427%
2 has 19.8759%
3 has 25.7447%
4 has 34.0834%
competitors: 1000 competitions: 1100000
0 has 4.8096%
1 has 13.7481%
2 has 19.8241%
3 has 26.2407%
4 has 35.3775%
competitors: 1000 competitions: 1200000
0 has 3.777%
1 has 13.1634%
2 has 19.7305%
3 has 26.6893%
4 has 36.6398%
competitors: 1000 competitions: 1300000
0 has 2.9198%
1 has 12.5013%
2 has 19.5967%
3 has 27.0851%
4 has 37.8971%
competitors: 1000 competitions: 1400000
0 has 2.1818%
1 has 11.8545%
2 has 19.451%
3 has 27.4564%
4 has 39.0563%
competitors: 1000 competitions: 1500000
0 has 1.5553%
1 has 11.1573%
2 has 19.2954%
3 has 27.8159%
4 has 40.1761%
competitors: 1000 competitions: 1600000
0 has 1.0572%
1 has 10.4561%
2 has 19.0798%
3 has 28.1541%
4 has 41.2528%
competitors: 1000 competitions: 1700000
0 has 0.6589%
1 has 9.7705%
2 has 18.8537%
3 has 28.4495%
4 has 42.2674%
competitors: 1000 competitions: 1800000
0 has 0.337%
1 has 9.0597%
2 has 18.615%
3 has 28.6987%
4 has 43.2896%
competitors: 1000 competitions: 1900000
0 has 0.1061%
1 has 8.3219%
2 has 18.3627%
3 has 28.9154%
4 has 44.2939%
competitors: 1000 competitions: 2000000
0 has 0.0099%
1 has 7.577%
2 has 18.0745%
3 has 29.0921%
4 has 45.2465%
competitors: 1000 competitions: 2100000
0 has 0.0%
1 has 6.8449%
2 has 17.7915%
3 has 29.2322%
4 has 46.1314%
competitors: 1000 competitions: 2200000
0 has 0.0%
1 has 6.1165%
2 has 17.5016%
3 has 29.4087%
4 has 46.9732%
competitors: 1000 competitions: 2300000
0 has 0.0%
1 has 5.4844%
2 has 17.1537%
3 has 29.5723%
4 has 47.7896%
competitors: 1000 competitions: 2400000
0 has 0.0%
1 has 4.8775%
2 has 16.8351%
3 has 29.7033%
4 has 48.5841%
competitors: 1000 competitions: 2500000
0 has 0.0%
1 has 4.3225%
2 has 16.4877%
3 has 29.8119%
4 has 49.3779%
competitors: 1000 competitions: 2600000
0 has 0.0%
1 has 3.8134%
2 has 16.1296%
3 has 29.903%
4 has 50.154%
competitors: 1000 competitions: 2700000
0 has 0.0%
1 has 3.3473%
2 has 15.785%
3 has 29.9741%
4 has 50.8936%
competitors: 1000 competitions: 2800000
0 has 0.0%
1 has 2.9129%
2 has 15.4015%
3 has 30.0485%
4 has 51.6371%
competitors: 1000 competitions: 2900000
0 has 0.0%
1 has 2.5268%
2 has 15.0131%
3 has 30.114%
4 has 52.3461%
competitors: 1000 competitions: 3000000
0 has 0.0%
1 has 2.1722%
2 has 14.6449%
3 has 30.1464%
4 has 53.0365%
competitors: 1000 competitions: 3100000
0 has 0.0%
1 has 1.8505%
2 has 14.269%
3 has 30.1726%
4 has 53.7079%
competitors: 1000 competitions: 3200000
0 has 0.0%
1 has 1.5431%
2 has 13.8926%
3 has 30.2074%
4 has 54.3569%
competitors: 1000 competitions: 3300000
0 has 0.0%
1 has 1.2559%
2 has 13.5137%
3 has 30.2369%
4 has 54.9935%
competitors: 1000 competitions: 3400000
0 has 0.0%
1 has 1.004%
2 has 13.1377%
3 has 30.2412%
4 has 55.6171%
competitors: 1000 competitions: 3500000
0 has 0.0%
1 has 0.7697%
2 has 12.7415%
3 has 30.2343%
4 has 56.2545%
competitors: 1000 competitions: 3600000
0 has 0.0%
1 has 0.5647%
2 has 12.344%
3 has 30.2211%
4 has 56.8702%
competitors: 1000 competitions: 3700000
0 has 0.0%
1 has 0.3991%
2 has 11.9496%
3 has 30.2037%
4 has 57.4476%
competitors: 1000 competitions: 3800000
0 has 0.0%
1 has 0.2554%
2 has 11.5524%
3 has 30.1794%
4 has 58.0128%
competitors: 1000 competitions: 3900000
0 has 0.0%
1 has 0.1567%
2 has 11.123%
3 has 30.1572%
4 has 58.5631%
competitors: 1000 competitions: 4000000
0 has 0.0%
1 has 0.0986%
2 has 10.7012%
3 has 30.1202%
4 has 59.08%
competitors: 1000 competitions: 4100000
0 has 0.0%
1 has 0.0712%
2 has 10.2614%
3 has 30.0656%
4 has 59.6018%
competitors: 1000 competitions: 4200000
0 has 0.0%
1 has 0.0478%
2 has 9.8493%
3 has 30.005%
4 has 60.0979%
competitors: 1000 competitions: 4300000
0 has 0.0%
1 has 0.0368%
2 has 9.4586%
3 has 29.9317%
4 has 60.5729%
competitors: 1000 competitions: 4400000
0 has 0.0%
1 has 0.0195%
2 has 9.053%
3 has 29.8758%
4 has 61.0517%
competitors: 1000 competitions: 4500000
0 has 0.0%
1 has 0.0101%
2 has 8.6452%
3 has 29.7893%
4 has 61.5554%
competitors: 1000 competitions: 4600000
0 has 0.0%
1 has 0.0004%
2 has 8.2457%
3 has 29.7194%
4 has 62.0345%
competitors: 1000 competitions: 4700000
0 has 0.0%
1 has 0.0%
2 has 7.8503%
3 has 29.6268%
4 has 62.5229%
competitors: 1000 competitions: 4800000
0 has 0.0%
1 has 0.0%
2 has 7.4593%
3 has 29.5541%
4 has 62.9866%
competitors: 1000 competitions: 4900000
0 has 0.0%
1 has 0.0%
2 has 7.0989%
3 has 29.4771%
4 has 63.424%
competitors: 1000 competitions: 5000000
0 has 0.0%
1 has 0.0%
2 has 6.7406%
3 has 29.3828%
4 has 63.8766%
competitors: 1000 competitions: 5100000
0 has 0.0%
1 has 0.0%
2 has 6.412%
3 has 29.2888%
4 has 64.2992%
competitors: 1000 competitions: 5200000
0 has 0.0%
1 has 0.0%
2 has 6.1091%
3 has 29.1911%
4 has 64.6998%
competitors: 1000 competitions: 5300000
0 has 0.0%
1 has 0.0%
2 has 5.7946%
3 has 29.1022%
4 has 65.1032%
competitors: 1000 competitions: 5400000
0 has 0.0%
1 has 0.0%
2 has 5.5146%
3 has 28.9935%
4 has 65.4919%
competitors: 1000 competitions: 5500000
0 has 0.0%
1 has 0.0%
2 has 5.2703%
3 has 28.879%
4 has 65.8507%
competitors: 1000 competitions: 5600000
0 has 0.0%
1 has 0.0%
2 has 5.0163%
3 has 28.7765%
4 has 66.2072%
competitors: 1000 competitions: 5700000
0 has 0.0%
1 has 0.0%
2 has 4.7661%
3 has 28.6615%
4 has 66.5724%
competitors: 1000 competitions: 5800000
0 has 0.0%
1 has 0.0%
2 has 4.5297%
3 has 28.5435%
4 has 66.9268%
competitors: 1000 competitions: 5900000
0 has 0.0%
1 has 0.0%
2 has 4.2793%
3 has 28.4264%
4 has 67.2943%
competitors: 1000 competitions: 6000000
0 has 0.0%
1 has 0.0%
2 has 4.0346%
3 has 28.3094%
4 has 67.656%
competitors: 1000 competitions: 6100000
0 has 0.0%
1 has 0.0%
2 has 3.7827%
3 has 28.1971%
4 has 68.0202%
competitors: 1000 competitions: 6200000
0 has 0.0%
1 has 0.0%
2 has 3.5179%
3 has 28.0886%
4 has 68.3935%
competitors: 1000 competitions: 6300000
0 has 0.0%
1 has 0.0%
2 has 3.2835%
3 has 27.9656%
4 has 68.7509%
competitors: 1000 competitions: 6400000
0 has 0.0%
1 has 0.0%
2 has 3.0458%
3 has 27.8501%
4 has 69.1041%
competitors: 1000 competitions: 6500000
0 has 0.0%
1 has 0.0%
2 has 2.8207%
3 has 27.7315%
4 has 69.4478%
competitors: 1000 competitions: 6600000
0 has 0.0%
1 has 0.0%
2 has 2.5954%
3 has 27.6226%
4 has 69.782%
competitors: 1000 competitions: 6700000
0 has 0.0%
1 has 0.0%
2 has 2.3799%
3 has 27.5101%
4 has 70.11%
competitors: 1000 competitions: 6800000
0 has 0.0%
1 has 0.0%
2 has 2.1962%
3 has 27.3597%
4 has 70.4441%
competitors: 1000 competitions: 6900000
0 has 0.0%
1 has 0.0%
2 has 2.0333%
3 has 27.215%
4 has 70.7517%
competitors: 1000 competitions: 7000000
0 has 0.0%
1 has 0.0%
2 has 1.8639%
3 has 27.0775%
4 has 71.0586%
competitors: 1000 competitions: 7100000
0 has 0.0%
1 has 0.0%
2 has 1.7151%
3 has 26.918%
4 has 71.3669%
competitors: 1000 competitions: 7200000
0 has 0.0%
1 has 0.0%
2 has 1.5645%
3 has 26.7972%
4 has 71.6383%
competitors: 1000 competitions: 7300000
0 has 0.0%
1 has 0.0%
2 has 1.4255%
3 has 26.6665%
4 has 71.908%
competitors: 1000 competitions: 7400000
0 has 0.0%
1 has 0.0%
2 has 1.3083%
3 has 26.5347%
4 has 72.157%
competitors: 1000 competitions: 7500000
0 has 0.0%
1 has 0.0%
2 has 1.2107%
3 has 26.3751%
4 has 72.4142%
competitors: 1000 competitions: 7600000
0 has 0.0%
1 has 0.0%
2 has 1.1231%
3 has 26.2161%
4 has 72.6608%
competitors: 1000 competitions: 7700000
0 has 0.0%
1 has 0.0%
2 has 1.0504%
3 has 26.0418%
4 has 72.9078%
competitors: 1000 competitions: 7800000
0 has 0.0%
1 has 0.0%
2 has 0.9815%
3 has 25.8744%
4 has 73.1441%
competitors: 1000 competitions: 7900000
0 has 0.0%
1 has 0.0%
2 has 0.917%
3 has 25.7078%
4 has 73.3752%
competitors: 1000 competitions: 8000000
0 has 0.0%
1 has 0.0%
2 has 0.8537%
3 has 25.5406%
4 has 73.6057%
competitors: 1000 competitions: 8100000
0 has 0.0%
1 has 0.0%
2 has 0.8041%
3 has 25.3673%
4 has 73.8286%
competitors: 1000 competitions: 8200000
0 has 0.0%
1 has 0.0%
2 has 0.7495%
3 has 25.197%
4 has 74.0535%
competitors: 1000 competitions: 8300000
0 has 0.0%
1 has 0.0%
2 has 0.7028%
3 has 25.0261%
4 has 74.2711%
competitors: 1000 competitions: 8400000
0 has 0.0%
1 has 0.0%
2 has 0.6561%
3 has 24.8317%
4 has 74.5122%
competitors: 1000 competitions: 8500000
0 has 0.0%
1 has 0.0%
2 has 0.6022%
3 has 24.6589%
4 has 74.7389%
competitors: 1000 competitions: 8600000
0 has 0.0%
1 has 0.0%
2 has 0.5525%
3 has 24.4766%
4 has 74.9709%
competitors: 1000 competitions: 8700000
0 has 0.0%
1 has 0.0%
2 has 0.5039%
3 has 24.3089%
4 has 75.1872%
competitors: 1000 competitions: 8800000
0 has 0.0%
1 has 0.0%
2 has 0.4623%
3 has 24.1172%
4 has 75.4205%
competitors: 1000 competitions: 8900000
0 has 0.0%
1 has 0.0%
2 has 0.4192%
3 has 23.9413%
4 has 75.6395%
competitors: 1000 competitions: 9000000
0 has 0.0%
1 has 0.0%
2 has 0.3766%
3 has 23.7653%
4 has 75.8581%
competitors: 1000 competitions: 9100000
0 has 0.0%
1 has 0.0%
2 has 0.3335%
3 has 23.5866%
4 has 76.0799%
competitors: 1000 competitions: 9200000
0 has 0.0%
1 has 0.0%
2 has 0.2888%
3 has 23.412%
4 has 76.2992%
competitors: 1000 competitions: 9300000
0 has 0.0%
1 has 0.0%
2 has 0.2411%
3 has 23.2261%
4 has 76.5328%
competitors: 1000 competitions: 9400000
0 has 0.0%
1 has 0.0%
2 has 0.1933%
3 has 23.051%
4 has 76.7557%
competitors: 1000 competitions: 9500000
0 has 0.0%
1 has 0.0%
2 has 0.1514%
3 has 22.8838%
4 has 76.9648%
competitors: 1000 competitions: 9600000
0 has 0.0%
1 has 0.0%
2 has 0.1138%
3 has 22.7083%
4 has 77.1779%
competitors: 1000 competitions: 9700000
0 has 0.0%
1 has 0.0%
2 has 0.0832%
3 has 22.5213%
4 has 77.3955%
competitors: 1000 competitions: 9800000
0 has 0.0%
1 has 0.0%
2 has 0.0502%
3 has 22.3313%
4 has 77.6185%
competitors: 1000 competitions: 9900000
0 has 0.0%
1 has 0.0%
2 has 0.0278%
3 has 22.1514%
4 has 77.8208%