The Effects of Biasing Win Conditions

Althofer and Hartisch

win conditions, bias, weighting

@article{althofer:gapd-2015,
  author={Ingo Alth\"ofer and Martin Hartisch}, 
  title={Characterising Score Distributions in Dice Games},
  journal={Game and Puzzle Design Journal},
  year=2015,
  volume=1,
  number=1,
  pages={50--55}
}

Many games have multiple win conditions

Optimal play depends on the weighting between those win conditions

Looking at symmetric two-player zero sum games

1 point for winning, c points for alternate win

Only seven cases have to be distinguished

• c > 1, c = 1, 0 < c < 1, c = 0, -1 < c < 0, c = -1, c < -1

Frequency of wins does not depend monotonically on just c

McRandom Monte-Carlo evaluation tool