Re: Colonel Blotto From: crb11@emu.pmms.cam.ac.uk (Colin Bell) Date: Thu, 23 May 1996 00:00:00 +0000 Here are the results of the Colonel Blotto tourney, and the strategies entered. Congratulations especially to Ian Collier, Chuan-Tze Teo and Martin Fuller. These results will be available on my web page http://pmms.cam.ac.uk/~crb11 soon, with comment and further analysis. Thanks to those who took part. Colin Bell [I have set followups to rec.games.abstract, so that any discussion goes into one group] Pure entries 1: Chris Rudram: 29 1 1 1 20 16 13 10 6 3, weight 1 2: Hauke Reddmann: 18 16 15 13 11 9 7 5 4 2, weight 1 3: Aubrey de Grey: 3 3 31 29 24 3 3 2 1 1, weight 1 4: Stephen Turner: 9 9 9 46 5 5 5 4 4 4, weight 1 5: Colin Bell: 2 2 32 26 12 11 11 2 1 1, weight 1 6: Ian Collier: 4 27 31 1 14 18 3 1 1 0, weight 1 7: Dave Holland: 4 34 34 4 14 6 0 3 1 0, weight 1 8: Andrew White: 2 33 31 2 2 12 8 7 2 1, weight 1 9: Eldad Petreanu : 2 20 18 16 14 12 10 8 0 0, weight 1 10: Achim Kempf: 30 15 10 13 5 7 5 5 5 5, weight 1 11: Chuan-Tze Teo: 36 36 5 5 5 5 2 2 2 2, weight 1 12: Robert Israel: 17 11 27 22 3 4 9 5 2 0, weight 1 13: Chris M. Dickson: 36 1 26 1 21 1 11 1 1 1, weight 1 14: Rui.Barata@bta.pt: 1 1 31 21 1 11 11 11 11 1, weight 1 15: Martin Fuller: 37 1 24 27 0 0 0 9 2 0, weight 1 16: Mark Carroll: 16 0 24 18 3 11 14 9 3 2, weight 1 17: Gabor Megyesi: 1 33 31 29 1 1 1 1 1 1, weight 1 One-off (out of 32) 1 24 Ian Collier ( 6) 2= 22 Chris Rudram ( 1) = Dave Holland ( 7) 4 20 Colin Bell ( 5) 5 18 Andrew White ( 8) 6= 17 Aubrey de Grey ( 3) = Robert Israel ( 12) 8= 16 Eldad Petreanu ( 9) = Achim Kempf ( 10) = Chuan-Tze Teo ( 11) 11 15 Hauke Reddmann ( 2) 12 14 Chris M. Dickson ( 13) 13 13 Mark Carroll ( 16) 14= 12 Stephen Turner ( 4) = Rui.Barata@bta.pt ( 14) = Martin Fuller ( 15) 17 6 Gabor Megyesi ( 17) Evolutionary: (above the line is the stable strategy: below the line is a measure of how far the other strategies missed out) 1= 14.29 Chris Rudram ( 1) = Colin Bell ( 5) = Ian Collier ( 6) = Dave Holland ( 7) = Achim Kempf ( 10) = Chuan-Tze Teo ( 11) = Martin Fuller ( 15) ------------------------------------------------------------- 8= -14.28 Hauke Reddmann ( 2) = Aubrey de Grey ( 3) = Stephen Turner ( 4) = Andrew White ( 8) = Eldad Petreanu ( 9) = Chris M. Dickson ( 13) = Rui.Barata@bta.pt ( 14) 15 -42.85 Mark Carroll ( 16) 16= -71.42 Robert Israel ( 12) = Gabor Megyesi ( 17) Mixed strategies: 1: Aubrey de Grey: 3 3 31 29 24 3 3 2 1 1, weight 1 2: Stephen Turner: 9 9 9 46 5 5 5 4 4 4, weight 1 3: Colin Bell: 2 2 32 26 12 11 11 2 1 1, weight 1 4 33 29 2 18 13 1 0 0 0, weight 1 40 1 1 1 16 12 9 8 6 6, weight 1 4: Ian Collier: 4 27 31 1 14 18 3 1 1 0, weight 20 26 2 28 2 22 4 14 1 1 0, weight 18 24 36 2 0 19 17 1 0 1 0, weight 16 3 1 28 27 15 2 12 11 1 0, weight 14 1 23 28 31 0 2 14 1 0 0, weight 12 4 26 3 22 1 18 13 11 2 0, weight 10 3 25 18 18 22 2 1 1 3 7, weight 6 27 23 32 1 0 1 3 1 1 11, weight 2 27 26 2 26 1 3 1 1 12 1, weight 2 5: Achim Kempf: 30 15 10 13 5 7 5 5 5 5, weight 5 25 25 25 9 4 5 4 1 1 1, weight 5 6: Chuan-Tze Teo: 2 30 26 22 1 1 18 0 0 0, weight 1 36 36 5 5 5 5 2 2 2 2, weight 1 4 4 4 24 21 18 10 5 5 5, weight 1 3 31 27 3 19 17 0 0 0 0, weight 1 7: Andrew White: 6 1 36 28 18 1 5 3 1 1, weight 4 33 31 2 2 1 12 7 6 5 1, weight 4 33 1 31 2 13 1 7 6 5 1, weight 5 2 33 31 2 2 12 8 7 2 1, weight 7 8: Robert Israel: 36 14 12 14 14 2 6 0 0 2, weight 140 15 3 19 15 19 17 1 9 1 1, weight 5 17 11 27 22 3 4 9 5 2 0, weight 82 24 4 15 13 17 7 14 2 1 3, weight 11 30 29 8 10 3 9 2 8 1 0, weight 111 26 35 1 0 0 22 16 0 0 0, weight 16 30 35 4 1 10 8 12 0 0 0, weight 68 42 0 13 25 2 3 3 9 2 1, weight 11 12 27 29 0 13 2 7 7 2 1, weight 15 3 22 26 19 10 3 10 3 3 1, weight 133 13 13 27 16 15 9 1 2 4 0, weight 26 13 13 31 23 4 3 8 3 1 1, weight 6 40 4 2 6 17 9 15 4 2 1, weight 59 43 6 0 6 15 11 7 5 5 2, weight 29 14 15 12 28 6 1 14 9 1 0, weight 53 21 28 6 2 5 12 4 11 7 4, weight 161 39 8 9 10 11 18 2 1 0 2, weight 45 31 5 31 25 5 0 0 3 0 0, weight 28 9: Chris M. Dickson: 36 1 26 1 21 1 11 1 1 1, weight 1 10: Martin Fuller: 37 1 24 27 0 0 0 9 2 0, weight 260 14 12 25 4 2 18 15 6 3 1, weight 184 32 2 0 18 25 9 9 5 0 0, weight 148 3 13 29 18 13 9 7 3 5 0, weight 122 5 19 28 22 1 8 11 3 1 2, weight 115 41 8 7 7 22 6 5 0 2 2, weight 101 14 30 9 12 13 10 7 4 0 1, weight 99 12 31 25 0 16 14 0 2 0 0, weight 96 22 18 16 13 10 8 6 4 2 1, weight 94 22 21 4 5 18 5 15 7 3 0, weight 84 6 17 12 23 8 19 8 7 0 0, weight 79 23 35 15 7 10 8 0 1 1 0, weight 77 17 27 0 16 15 16 2 5 2 0, weight 74 29 32 10 9 16 1 2 1 0 0, weight 74 20 30 15 11 10 1 5 4 4 0, weight 72 23 14 30 8 4 15 1 3 2 0, weight 69 3 36 4 12 16 5 13 8 3 0, weight 69 39 28 2 10 8 7 1 3 2 0, weight 65 9 3 28 30 4 12 8 3 0 3, weight 64 34 12 14 12 4 2 12 10 0 0, weight 64 11: Mark Carroll: 0 33 27 26 1 0 13 0 0 0, weight 1 2 31 27 26 0 1 12 1 0 0, weight 1 12: Gabor Megyesi: 1 33 31 29 1 1 1 1 1 1, weight 5 0 0 0 26 22 17 12 8 8 7, weight 5 1 1 30 30 26 7 5 0 0 0, weight 5 40 1 1 30 1 1 10 10 4 2, weight 5 One-off: 1= 16 Colin Bell ( 3) = Ian Collier ( 4) = Chuan-Tze Teo ( 6) 4 13 Aubrey de Grey ( 1) 5= 12 Andrew White ( 7) = Robert Israel ( 8) = Martin Fuller ( 10) 8 9 Mark Carroll ( 11) 9= 8 Stephen Turner ( 2) = Chris M. Dickson ( 9) 11 6 Achim Kempf ( 5) 12 4 Gabor Megyesi ( 12) Evolutionary: 1 39.16 Chuan-Tze Teo ( 6) 2 34.40 Martin Fuller ( 10) 3 16.50 Colin Bell ( 3) 4 5.54 Stephen Turner ( 2) 5 4.40 Ian Collier ( 4) --------------------------------------------------------------------- 6 -2.30 Aubrey de Grey ( 1) 7 -3.78 Andrew White ( 7) 8 -9.26 Robert Israel ( 8) 9 -10.31 Mark Carroll ( 11) 10 -32.41 Gabor Megyesi ( 12) 11 -34.03 Achim Kempf ( 5) 12 -35.91 Chris M. Dickson ( 9) Up