Sample of cool things I found out:
- Hanabi is now the "frontier of AI research" with both FB/DeepMind working on it
- Magic the Gathering is Turing complete
- Kingdomino is NP-hard
- There is published endgame research for RISK (similar to how you have endtables in chess)
- There's a lot of interesting research on catan and monopoly. Monopoly seems to have a lot of research around teaching language-skills to kids, in particular.
- There is research on generating new maps for Ticket to Ride!
- Lots of interesting research on 2048, the mobile game.
- There is a mathematical model for Mafia.