What do you mean play games? is that real or just perceived?
Its something that I've seen for myself. I'll give some examples:
1. After Michael wrapped on Macbeth and flew to Canada where he accepted the Empire award, she-who-shall-not-be-named posted on her instagram a picture. Now I do not have instagram and I don't follow her on twitter and facebook but other people do. The picture that was posted showed a few people at a party, and one of the guests was a male. At first glance you would think that the person was Michael. She posted "Happy birthday M" (it was the weekend of his birthday). So at first people were thinking it was him, he went to Canada then flew to NY to spend the weekend with her (she was promoting that Jude Law Movie). However she was caught in that lie when someone who was there mentioned the person by name, who was a female. Basically she wanted to think Michael was there and the party was for him.
2. When Michael went to Peru on vacay, she posted another pic showing mountains. It looked like she was in a cabin. Her caption was "strangers in paradise". Once again she wanted people to think that he was with her, she was in California and he was thousands of miles away.
3. In Inglorious Basterds, that bar scene when Michael's character asked for beer and held up the wrong three fingers, on her page was posted a picture of posing with a guitar and holding up the 3 fingers, the correct 3 fingers. So of course the talk was it was in reference to Michael.
4. Another picture she had posted was of some books she was reading. And I believe one of them was Isis. The talk was about whether she was referring to Gerard or Michael. Since both men are supposedly doing a movie with the title or character Isis and she's reading up on the character.
5. On a thread she had posted that she didn't like that Michael went public with Naomi, he kept her (she-who-shall-not-be-named) private, she's not gonna post anymore, her people told her not to, blah blah blah yada yada yada.
These are the things I've seen her personally do. Did she create multiple names to comment on a certain gossip site? Yes. Did her friend Anka comment on this site? Yes. Would she do the same on pf? Yes I believe she would. Simple because she would create any buzz to link her name with Michael's and have people talk about her. It's the most publicity she ever had. So her and her friends/minions whatever can make up and post anything they want just to have her name mentioned. Even when Michael was in London few months ago she was there, going to "acting class". Once again that got people talking that they are hooking up. And I'm sure she's loving the free publicity. Maybe not front page news or on tv. But the fact that there's an 11000 plus comments about her and Michael is something I'm sure she enjoys