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Cost-sharing games in real-time scheduling systems

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  • Tami Tamir

    (Reichman University)

Abstract

We apply non-cooperative game theory to analyze the server’s activation cost in real-time scheduling systems. An instance of the game consists of a single server and a set of unit-length jobs. Every job needs to be processed along a specified time interval, defined by the job’s release-time and due-date. Jobs may also have variable weights, which specify the amount of resource they require. We assume that jobs are controlled by selfish agents who act to minimize their own cost, rather than to optimize any global objective. The jobs processed in a specific time-slot cover the server’s activation cost in this slot, with the cost being shared proportionally to the jobs’ weights. Known results on cost-sharing games do not exploit the special interval-structure of the strategy space in our game, and are therefore not tight. We present a complete analysis of equilibrium existence, computation, and inefficiency in real-time scheduling cost-sharing games. Our tight analysis covers various classes of instances, and distinguishes between unilateral and coordinated deviations.

Suggested Citation

  • Tami Tamir, 2023. "Cost-sharing games in real-time scheduling systems," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 273-301, March.
    • Handle: RePEc:spr:jogath:v:52:y:2023:i:1:d:10.1007_s00182-022-00819-y
    DOI: 10.1007/s00182-022-00819-y
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    References listed on IDEAS

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    1. Epstein, Amir & Feldman, Michal & Mansour, Yishay, 2009. "Strong equilibrium in cost sharing connection games," Games and Economic Behavior, Elsevier, vol. 67(1), pages 51-68, September.
    2. Milchtaich, Igal, 1996. "Congestion Games with Player-Specific Payoff Functions," Games and Economic Behavior, Elsevier, vol. 13(1), pages 111-124, March.
    3. Philippe Baptiste, 2000. "Batching identical jobs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(3), pages 355-367, December.
    4. Andelman, Nir & Feldman, Michal & Mansour, Yishay, 2009. "Strong price of anarchy," Games and Economic Behavior, Elsevier, vol. 65(2), pages 289-317, March.
    5. Bilò, Vittorio & Flammini, Michele & Moscardelli, Luca, 2020. "The price of stability for undirected broadcast network design with fair cost allocation is constant," Games and Economic Behavior, Elsevier, vol. 123(C), pages 359-376.
    6. Tobias Harks & Konstantin Miller, 2011. "The Worst-Case Efficiency of Cost Sharing Methods in Resource Allocation Games," Operations Research, INFORMS, vol. 59(6), pages 1491-1503, December.
    7. Philipp von Falkenhausen & Tobias Harks, 2013. "Optimal Cost Sharing for Resource Selection Games," Mathematics of Operations Research, INFORMS, vol. 38(1), pages 184-208, February.
    8. Cole, Richard & Correa, Jose & Gkatzelis, Vasillis & Mirrokni, Vahab & Olver, Neil, 2015. "Decentralized utilitarian mechanisms for scheduling games," LSE Research Online Documents on Economics 103081, London School of Economics and Political Science, LSE Library.
    9. Cole, Richard & Correa, José R. & Gkatzelis, Vasilis & Mirrokni, Vahab & Olver, Neil, 2015. "Decentralized utilitarian mechanisms for scheduling games," Games and Economic Behavior, Elsevier, vol. 92(C), pages 306-326.
    10. Tobias Harks & Max Klimm, 2012. "On the Existence of Pure Nash Equilibria in Weighted Congestion Games," Mathematics of Operations Research, INFORMS, vol. 37(3), pages 419-436, August.
    11. Vasilis Gkatzelis & Konstantinos Kollias & Tim Roughgarden, 2016. "Optimal Cost-Sharing in General Resource Selection Games," Operations Research, INFORMS, vol. 64(6), pages 1230-1238, December.
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