I haven't played video games or had LAN parties in 20 years. Got too much of it early on, and that was enough :) Could you extrapolate on how it works nowadays? Also, is this purely probono, or do the players pay to access these servers?
Hosting Minecraft servers requires a pretty high-end CPU with a good single-threading score, other game servers as far as I'm aware though, should be easy to host on some midspec hardware.