"Game" Playing

I am a single guy who peruses profiles in various dating websites. One
of the most prevalent statements from single women is a warning that
they don't like "game players" and that games are not something they
enjoy or tolerate. I realize they are not talking about Monopoly or
Scrabble, but I'm not 100 percent sure what kind of games they DO
mean. Is this a shorthand way of saying they are looking for a
permanent relation****p and not a one-night stand? If so, how did the
"game playing" terminology come to mean that? In this instance, is
"game" more like a pheasant being poached and less like gin rummy? I
have a feeling the answer to this question is very obvious to
everybody except me...keeping in tradition with everything else I ask
about here! Thanks for your illumination.