Frequent disconnects over LAN?

I'm experiencing frequent disconnects while playing Civilization V in multiplayer over my home wired LAN. I do not experience something like that in other multiplayer games. Is there any known solution or workaround to this problem?

The disconnects always happen shortly after a new turn have started, and it seems to get worse as the game progresses; at the moment, turn ~300, it disconnects almost every turn, making the game unplayable. Of note is that every time we reconnect, the game enables us to play the turn but it rollbacks the AI's last turn, in effect giving us a free turn.

I've found some recent complaints about this on the Steam forums and on the 2K forums, but could not find any solution.

Civ5's netcode is a horrible mess (actually, all Civ5 code is). We noticed (while playing over internet) that slow player computers can affect the loading times in later games and disconnects happen more frequently. I don't think there's anything you can do about it. Set autosave to 5 rounds and hope for the best. ;)