Artist: Copyright © Rasmus Holbroe (Jan. 2016).
|
Artist: Copyright © Rasmus Holbroe (Jan. 2016).
|
| Tafl variant | Game balance | Counted games | Game haphazardness |
| Total Hnefatafl 11x11 | +1.28 | 145 | 12% |
| Sea battle-204577-w 11x11 | -1.23 | 32 | 13% |
| Market Hnefatafl-w 9x9 | +1.31 | 152 | 33% |
| Simple Tafl T cross-w 9x9 | -1.09 | 103 | 25% |
| Historical Hnefatafl 9x9 (Saami Tablut-w) | +1.08 | 358 | 38% |
| Historical Hnefatafl 11x11 (Welsh Tawlbwrdd-w) | +1.07 | 113 | 34% |
| Simple Tafl-w 5x5 | -1.45 | 109 | 37% |
| Fetlar Hnefatafl 11x11 | +1.41 | 969 | 37% |
| Copenhagen Hnefatafl 11x11 | +1.34 | 6945 | 38% |
| Sea battle-1571 9x9 | +1.13 | 48 | 38% |
| Sea battle-2526 9x9 | -1.05 | 179 | 40% |
| Saami Daabloe 11x9 | +1.19 | 65 | 40% |
| Old Hnefatafl 11x11 | -1.08 | 655 | 41% |
| Berserk Hnefatafl 11x11 | +1.18 | 790 | 42% |
| Brandubh 7x7 (Walker) | +1.17 | 232 | 45% |
| Irish Brandubh 2 7x7 | +1.42 | 893 | 50% |
| Tyr 11x11 | +1.08 | 265 | 52% |
| Saami Cuhkka 5x5 | +1.32 | 34 | 53% |
| Frisian Dablo 11x9 | +1.04 | 50 | 68% |
| Daldøs 3x16 | +1.11 | 151 | 50% |
| Daldøs 3x14 | +1.05 | 195 | 63% |
| Daldøs 3x12 | +1.12 | 190 | 82% |
| Saami Sáhkku 3x15 (Kåfjord) | -1.19 | 320 | 51% |
The game haphazardness is calculated as:
(number of games where, after adjusting for game balance, a lower rated player wins against a higher rated player) divided by (number of counted games) * 2
Draws are counted as half wins.
Only games between players of adjusted ratings separated by at least 150, are counted.
Imagine a completely uncontrollable game, where the outcome is random like throwing a dice.
The higher rated player would win half the games and lose half the games, and the game haphazardness would be 100%.
In a completely controllable game, where the higher rated player always wins, the game haphazardness would be 0 %.
A completely random game would seemingly have a game balance of 1. So some game variants can have seemingly good game balances, which are only caused by a random outcome.
Apparently, measured this way, the normal range of haphazardness is up to 50%.