I think you would really enjoy the Nautilus article about Game Theory of anonymous philanthropy:
https://nautil.us/larry-david-and-the-game-theory-of-anonymo...
The opening call out is pretty great, too. Ever see the Curb Your Enthusiasm episode where Larry's big donation is upstaged by Ted's anonymous donation?
Visible philanthropy is not a simple system of rewards. It's much more interesting than that.