We present bounds on the efficiency of Nash equilibria in a scheduling game where jobs are players who choose a machine out of a set of machines to be processed on. Machines may have different speeds, and sequence the jobs in shortest processing time first order. When players selfishly choose a machine to minimize their own completion time, we analyze the price of anarchy for the sum of the completion times of the jobs. We show that it is bounded from below by e∕(e−1)≈1.58 and from above by 2.
- Price of anarchy
- Related machines