A particularly prevalent form of polyamory wherein polyamorous people will engage in sexual dalliances with many people who are not their primary partners for no reason aside from because they can. Due to the absence of any standards in their pursuit of sexual partners, their actions make them resemble a Pokemon trainer. Gotta catch 'em all!
An example of a conversation addressing someone engaging in Pokemon polyamory:
Guy 1: Dude, you're dating like fifteen girls, eight of which are ugly, three of which are married and one of which only has one leg. What the hell?
Guy 2: Love is not a finite resource! Shut up!
Guy 1: Love is also not a game of Pokemon and you do not have to catch 'em all! Damn!