Skillet (band) Kutless, Hawk Nelson, Disciple, Decyfer Down, and others. Skillet also played at the Super Dome in New Orleans for the ELCA National Youth Gathering in 2009. Skillet headlined two separate Rock the River tours, run by the Billy Graham Evangelistic Association, and hosted by Franklin Graham. Those tours were Rock the River: Midwest in the summer of 2009 and Rock the River: West in the summer of 2010. In January 2010, they toured with Puddle of Mudd and Shinedown through the East Coast of the United States. They also announced on their live chat with fans on December 5, 2009
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