This paper considers one machine job scheduling situations or sequencing problems, where clients can have more than a single job to be processed in order to get a final output. Moreover, a job can be of interest for different players. This means that one of the main assumptions in classic...

Game theoretic analysis of sequencing situations has been restricted to manufacturing systems which consist of machines that can process only one job at a time. However, in many manufacturing systems, operations are carried out by batch machines which can simultaneously process multiple jobs....

The main result of this paper is the convexity of Step out - Step in (SoSi) sequencing games, a class of relaxed sequencing games first analyzed by Musegaas, Borm, and Quant (2015). The proof makes use of a polynomial time algorithm determining the value and an optimal processing order for an...