First, no, its not a personal monopoly game. I learned this term today myself by reading David Perell's blog. For me, it is not something "new new", and I'm actually currently in a slow, but steady process to establish my own "personal monopoly" (these dailies are the part of it).
So "Personal Monopoly" is kinda like self-branding, except that instead of projecting "YOU" from outside-in, you do the reverse and project from inside-out. It is an intersection of your knowledge, personality, and skills that combined create this unique thing - a "Personal Monopoly".
Of course, you need to make people aware of this monopoly, and by doing that, build leverage for a higher salary, better contracts, a bigger network, etc.
I agree with Perell in him saying - "Personal Monopolies aren't found. They are created".
To learn more about this and more read Perell's blog. I also enjoy his tweets and tweetstorms - @david_perell.