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Social Welfare and Price of Anarchy in Preemptive Priority Queues

Consider an unobservable $M|G|1$ queue with preemptive-resume scheduling and two priority classes. Customers are strategic and may join the premium class for a fee. We analyze the resulting equilibrium outcomes, equilibrium stability, and social welfare. We find that for service distributions with coefficient of variation greater than 1, there exists a unique and stable mixed equilibrium at low loads. We also establish a tight bound on the price of anarchy, which is $4/3$.

preprint2020arXivOpen access
Jonathan ChamberlainDavid Starobinski
Computer Science and Game Theory
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Jonathan ChamberlainDavid Starobinski

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