So, OP and others, you could meet up with Simon on Friday, get along and want to see each other again. But see Mark on Saturday, John on Monday and Liam on Wednesday... And you whittle it down until you figure out which one's your favourite. Okay.
But Mark is also seeing Sarah, Helen and Jane. He likes Helen better than you.
Simon is seeing Julie and Mary. He likes Mary best.
John is seeing Emma and Suzie. Prefers Emma over you.
Liam is seeing Cathy and Eva and Joanna and Dana and Annie (busy man, is Liam) and wants to continue with Eva.
So that hasn't worked.
Of course, maybe not everyone's serial dating. If, after a few weeks you tell Mark that you want to be exclusive and Mark gets a bit put out as he has assumed you had both been exclusive from the start, then what? Do you just try again with the second best?
I'm going to assume that serial dating doesn't involve quite so many people (there will always be a Liam) but I can't see how this is any easier than normal dating.