[Burt the Butcher]

OK, well I guess based on this statement:
"For the purposes of this rule, a week will be defined as passed once an NFL game has been played, but in no event, once a player is activated to the active roster may they be demoted without being paid at least one weeks bonus. The bonus is immediate, and the following years performance bonuses and 10% increase are on top of the bonus:"

I would have to go with Mike. So double headers count as one week, since only one week of NFL games have passed, and your players bye week also counts as one week, since an NFL game was still played.