## Stackelberg Strategies for Weighted Load Balancing Games

### Neta Stein, Tami Tamir

DOI: http://dx.doi.org/10.15439/2022F52

Citation: Proceedings of the 17th Conference on Computer Science and Intelligence Systems, M. Ganzha, L. Maciaszek, M. Paprzycki, D. Ślęzak (eds). ACSIS, Vol. 30, pages 373–382 (2022)

Abstract. An instance of a weighted Stackelberg load balancing games is given by a set of identical machines, a set of variable-length jobs, and a parameter $0\leq\alpha\leq 1$. A centralized authority, denoted {\em the leader}, selects a subset of the jobs whose total length is at most an $\alpha$-fraction of the total length, and determines their assignment on the machines. After the controlled jobs are assigned, the remaining jobs join the schedule. They act selfishly, each determining its own assignment.Our work combines theoretical and experimental results for this setting. We suggest various heuristics for the leader and analyze their performance.

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