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Using weight decision for decreasing the price of anarchy in selfish bin packing games

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  • Dosa, Gyorgy
  • Kellerer, Hans
  • Tuza, Zsolt

Abstract

A selfish bin packing game is a variant of the classical bin packing problem in a game theoretic setting. In our model the items have not only a size but also a nonnegative weight. Each item plays the role of a selfish agent, and any agent/item pays some cost for being in a bin. The cost of a bin is 1, and this cost is shared among the items being in the bin, proportionally to their weight. A packing of the items into bins is called a Nash equilibrium if no item can decrease its cost by moving to another bin. In this paper we present two different settings for the weights which provide better values for the price of anarchy (PoA) than previous settings investigated so far. The improved PoA is not bigger than 16/11 ≈ 1.4545. Moreover, we give a general lower bound for the price of anarchy which holds for all possible choices of the weights.

Suggested Citation

  • Dosa, Gyorgy & Kellerer, Hans & Tuza, Zsolt, 2019. "Using weight decision for decreasing the price of anarchy in selfish bin packing games," European Journal of Operational Research, Elsevier, vol. 278(1), pages 160-169.
    • Handle: RePEc:eee:ejores:v:278:y:2019:i:1:p:160-169
    DOI: 10.1016/j.ejor.2019.04.026
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    References listed on IDEAS

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    1. Xin Chen & Qingqin Nong & Qizhi Fang, 0. "An improved mechanism for selfish bin packing," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-21.
    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.
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    Cited by:

    1. Chenhao Zhang & Guochuan Zhang, 0. "From packing rules to cost-sharing mechanisms," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-16.
    2. Kameda, Hisao, 2021. "Magnitude of inefficiency," European Journal of Operational Research, Elsevier, vol. 292(3), pages 1133-1145.
    3. Chenhao Zhang & Guochuan Zhang, 2022. "From packing rules to cost-sharing mechanisms," Journal of Combinatorial Optimization, Springer, vol. 44(3), pages 1578-1593, October.

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