I feel like there are several concerns mixed together, that should be separated:
1. Lack of communication, which is the central condition of the usual Shelling points.
2. Coordination (with some communication), where we agree to observe x41 because we don’t trust the rest of the group to follow a more complex procedure.
3. Limited number of observations (or costly observations). In that case you may choose to only observe x41, even if you are working alone, just to lower your costs.
I don’t think 2 and 3 have much to do with Shelling. These considerations reward simplicity. The simplest classifier and the Shelling point of a classification problem don’t have to be the same thing (though they might).
Also, I feel that the second half of your post (examples) is too long and has too much stuff in it that’s not clearly related to the first half (theory).
I think a “Theory” heading, and a “Example” heading would make for a nice compromise.