Go First Dice Wiki

This wiki serves as a repository the active research about “Go First Dice”. As it will likely be authored by more individuals than Eric Harshbarger alone, the information should be more current, accurate, and inclusive than that which is available on Eric's original Go First Dice Webpage.

“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.

• History
• Terminology
• Explanations
  • The Different Types of Fairness
  • Fast Perm-Checking code
  • “Weaving” Method for searching
  • Using a High Performance Computing Cluster
• Results
  • Significant Solutions
  • Homogeneous Solution Counts
  • Inhomogeneous Solution Counts
  • Induction Chart
  • Records
• More Information/External Links
• Wiki Participants