Skillet (band) program on a summer missions trip with teenagers to Mexico. In 2008, they joined Teen Mania Ministries and toured with Acquire the Fire. Skillet joined Breaking Benjamin, Three Days Grace, and Seether on the first half of their tour in fall 2007. Then Skillet headlined their own "Comatose" Tour alongside Thousand Foot Krutch and traveled to approximately 30 cities. The tour started on March 28 and ran through May 11, 2008. Skillet toured again from April 2009 through June 2009 with Decyfer Down and Disciple. This tour was called Comatose Tour 2009 (essentially a second branch of the 2008 Comatose
Envy-free item assignment the agents' utilities are not additive, the MNW solution is not necessarily EF1; but if the agents' utilities are at least submodular, the MNW solution satisfies a weaker property called "Marginal-Envy-Freeness except-1-item" (MEF1). There is an alternative criterion called Envy-freeness-except-cheapest (EFx): For each two agents A and B, if we remove from the bundle of B "any" item, then A does not envy B. EFx is strictly stronger than EF1. As of this writing, it is not known whether EFx allocations always exist. Given an allocation "X", define the envy ratio of "i" in "j" as: so the ratio is