Characterising Score Distributions in Dice Games
نویسندگان
چکیده
We analyse a variety of ways that comparing dice values can be used to simulate battles in games, measuring the ‘win bias’, ‘tie percentage’, and ‘closeness’ of each variant, to provide game designers with quantitative measurements of how small rule changes can significantly affect game balance. Closeness, a metric we introduce, is related to the inverse of the second moment, and measures how close the final scores are expected to be. We vary the number of dice, number of sides, rolling dice sorted or unsorted, biasing win rates by using mixed dice and different number of dice, allowing ties, re-rolling ties, and breaking ties in favour of one player.
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