Mechanism Design for fractional scheduling on unrelated machines.

of the fractional variant of the scheduling problem on unrelated machines. We give a lower bounds of $2-1/n$ for any fractional truthful mechanism, while we propose a truthful mechanism that achieves approximation of $1+(n-1)/2$, for $n$ machines.
We also focus on an interesting family of allocation algorithms, the {\em task-independent} algorithms. We give a lower bound of $1+(n-1)/2$, that holds for every (not only monotone) allocation algorithm of this class. Under this consideration, our truthful independent mechanism is the best that we can hope from this family of algorithms.