“Go First Dice” are a set of dice that allows some number of players to each roll a different single die (picked arbitrarily from the set) and the following conditions hold:

1. There will never be ties.
2. Each possible ordering of the players (determined by highest result, next highest result, etc) has a mathematically equal chance of occurring.
3. The above conditions hold for every subset of the whole set.

This wiki details the history of such sets of dice, some of the mathematics behind them, current sets of dice that satisfy the above conditions, what advances may still be made in the research, and even where some such sets may be purchased.