Everyone but the wealthy has skin in the game - especially the poor.
Just as a point: I used to believe that being poor meant you didn't have money. I have since learned that not having money is the least of it. Being poor means constant fear, constant worry, constant desperation.. The only possible way to survive poverty is with various escape mechanisms. The poor have their skin, their head, and their butt in the game.
Also, the middle class has skin in the game. Middle class means you are getting by, but you aren't rich, and will never be rich. You are middle class, right? Social Security is pretty much it for you. Maybe some equity in the home, maybe a modest pension. But you know you will have Medicare, and Social Security. That is a lot of skin in the game.
So, what skin do the wealthy have in the game? None. None at all. Their skin is provided for, plus. All they have in the game is a few extra dollars that maybe they were going to spend on a new football field out on the island, or a new apartment in Paris, or a maybe an especially nice mistress for the winter. But skin in the game? Not for the wealthy. Do you for one minute believe the Koch brothers will have to give up anything, anything at all, if their tax bill goes up by 12%?