There have been several. I’ll pick Eric Berne’s book Games People Play.
I immediately recognised a few that I had played and, having been ‘called out’ on them by the book, it did lead me to stop and behave more constructively.
This is a noted issue with Ticks. When removing them, unless you do it properly, you may end up with the mouthparts left embedded in your skin.. However, even with those, the body will usually deal with it without too many problems.
Mosquito proboscii are much smaller and so I would not anticipate any issues for anyone with a functioning immune system to deal with without ever noticing.
The ‘original’ game: Why Don’t You - Yes But was the one that I first recognised in myself. There are plenty of other examples on that website, but as the page says, it doesn’t have the full explanation and context.