Well the fact that at least one of them is some form of royalty explains a lot. Though it doesn't have to, of course; General Organa is former royalty and she treats people better than this. He has a feeling that he wouldn't want to spend as much time with this set as he would with others he's known.

It's not fear that causes him to decline her offer though. He's been through too much to be afraid of a board game. "It wouldn't do much good. I'm not familiar with the game."