Nicolas Nova links to a special issue of Communications, the journal of the Association for Computing Machinery, entitled Creating a Science of Games. In addition to games for social change, my interests, too, lie in what we can learn about what we know using what David Shaffer elsewhere calls "epistemic games."
I hope Nicolas will find some time to break down the article, which is currently behind a paywall.
In the onto-mechanical life, David Chalmers suggested in a discussion with science writer John Horgan that the "information" might be defined as "the difference that makes a difference." Pretty broad, but the idea has stuck with me since. It's that kind of notion that any science of games must somehow corral.