Both players have 1 prize left. Player-A uses Jirachi's "Doom Desire" attack. Player-B attacks Jirachi with enough damage to KO it with the same Pokemon that got hit by "Doom Desire". Who wins? Or is it a tie?
The KO from Player-B's attack happens before the end of his turn, so the game is over before Doom Desire's effect gets to happen. Player-B wins.
Source: TPCi Rules Team (2015-05-07)