Hrqls: And to get rid of fractions, 0, 1, 3, 5 as scores work as well as 0, 0.5, 1.5, 2.5.

It reminds me a bit of 'streetsoccer' as played on littlegolem and mastermoves. There the winner/loser scores can be 5-0, 4-1, 3-2 and 2-2. (5-0 for a win without overtime. 4-1 for a win in overtime. 3-2 for a tie with goals - winner is the person scoring last. 2-2 for a goalless game).