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An improved mechanism for selfish bin packing

Author

Listed:
  • Xin Chen

    (Ocean University of China)

  • Qingqin Nong

    (Ocean University of China)

  • Qizhi Fang

    (Ocean University of China)

Abstract

Selfish bin packing can be viewed as the non-cooperative version of bin packing problem, where every item is a selfish agent and wants to minimize his sharing cost with the other items packing in the same bin. In this paper, we focus on designing a new mechanism (a payoff rule) for selfish bin packing, called modified Dutch treatment mechanism. We first show that the pure Nash equilibrium exists and it can be obtained in polynomial time. We then prove that under the new mechanism, the price of anarchy is between 1.47407 and 1.4748, improving the known results.

Suggested Citation

  • Xin Chen & Qingqin Nong & Qizhi Fang, 2021. "An improved mechanism for selfish bin packing," Journal of Combinatorial Optimization, Springer, vol. 42(3), pages 636-656, October.
    • Handle: RePEc:spr:jcomop:v:42:y:2021:i:3:d:10.1007_s10878-019-00476-0
    DOI: 10.1007/s10878-019-00476-0
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    References listed on IDEAS

    as
    1. Q. Q. Nong & T. Sun & T. C. E. Cheng & Q. Z. Fang, 2018. "Bin packing game with a price of anarchy of $$\frac{3}{2}$$ 3 2," Journal of Combinatorial Optimization, Springer, vol. 35(2), pages 632-640, February.
    2. Ruixin Ma & György Dósa & Xin Han & Hing-Fung Ting & Deshi Ye & Yong Zhang, 2013. "A note on a selfish bin packing problem," Journal of Global Optimization, Springer, vol. 56(4), pages 1457-1462, August.
    Full references (including those not matched with items on IDEAS)

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