Profit Allocation Rule Based on Job Positions for Sequencing Games

As for cooperative games concerning sequencing based on total weighted completion time, according to the contributions of jobs, profit allocation rule based on job positions was introduced. The core relationship between this rule and sequencing games was discussed. And the dummy property and disconnected property were also discussed. Average loss property was proposed. A special allocation, which is based on job positions, is axiomatized through efficiency and the average loss property.