Roll dice as if you're rolling a fractional base six number of indefinite precision, stopping when one player wins.

A roll of 5, 2, and 4 is treated like 5.24

So if Alex and Bob both roll a '3', they just keep extending the precision until one is higher.

You may ask what this gives you over just re-rolling ties. Well, this preserves order. For example, if several people are rolling initiative, and there's a few rerolls for ties, you may end up with this initiative sequence:

    John:  5
    Betsy: 4
    Alex:  3.16
    Bob:   3.15
    Phil:  2

If Alex and Bob had to reroll, the order can get confusing. It also gives you a magnitude: Betsy rolled 100% better than Phil, but Alex only came in 0.3% better than Bob.