3 ms·
> If the value rolled is the same as any value rolled by a previous player, re-roll. Continue to re-roll until a unique value is rolled. This gives an advantag
by lisper 4y ago
> If the value rolled is the same as any value rolled by a previous player, re-roll. Continue to re-roll until a unique value is rolled.
This gives an advantage to earlier players because it gives them "first dibs" on higher numbers. In the extreme, if the first player rolls the highest number, no one can subsequently beat them no matter what they roll.
- gavinsyancey 4y agoThis is also true for lower numbers. It evens out so each player is equally likely to end up with each number.
- lisper 4y agoRight. I should have realized this because the protocol is equivalent to selection without replacement, which of course it fair. My mistake.
- bo1024 4y agoIf you consider n players and an n-sided die, you'll see this isn't true in that case. The first player has an exactly equal chance to be first, second, ..., last.
- lowbloodsugar 4y agoWe'll need a way to decide who goes first when deciding who goes first!
- lisper 4y agoI know just the protocol for that!