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Pareto optimal equilibria for selfish bin packing with uniform cost sharing

Author

Listed:
  • György Dósa

    (University of Pannonia)

  • Leah Epstein

    (University of Haifa)

Abstract

Bin packing problems deal with packing a set of items with sizes in (0, 1] into a minimum number of subsets, called bins, whose total sizes are no larger than 1. We study a class of bin packing games where the cost of an item packed into a bin with k items is $$\frac{1}{k}$$1k, that is, the cost sharing of each bin is uniform. We study the quality of strictly Pareto optimal equilibria and weakly Pareto optimal equilibria for these games.

Suggested Citation

  • György Dósa & Leah Epstein, 2019. "Pareto optimal equilibria for selfish bin packing with uniform cost sharing," Journal of Combinatorial Optimization, Springer, vol. 37(3), pages 827-847, April.
    • Handle: RePEc:spr:jcomop:v:37:y:2019:i:3:d:10.1007_s10878-018-0323-5
    DOI: 10.1007/s10878-018-0323-5
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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. Holzman, Ron & Law-Yone, Nissan, 1997. "Strong Equilibrium in Congestion Games," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 85-101, October.
    3. Andelman, Nir & Feldman, Michal & Mansour, Yishay, 2009. "Strong price of anarchy," Games and Economic Behavior, Elsevier, vol. 65(2), pages 289-317, March.
    4. 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. Kameda, Hisao, 2021. "Magnitude of inefficiency," European Journal of Operational Research, Elsevier, vol. 292(3), pages 1133-1145.

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