### Abstract

In standard bin packing, the goal is to partition or pack items with positive sizes of at most 1 into a minimum number of subsets, called bins, each of a total size no larger than 1. We study bin packing games. In these games, given a valid partition of the items, each item has a cost associated with it, based on the partition and on its size. Specifically, the cost of an item is the ratio between its size and the total size of items packed into its bin, that is, the cost sharing is in proportion to item sizes. We study pure Nash equilibria, which exist for all such games, and prove a new lower bound on the price of anarchy, which is the asymptotic worst-case ratio between the cost of the worst Nash equilibrium and a socially optimal packing.

Original language | English |
---|---|

Pages (from-to) | 6-12 |

Number of pages | 7 |

Journal | Information Processing Letters |

Volume | 150 |

DOIs | |

Publication status | Published - Oct 1 2019 |

### Fingerprint

### Keywords

- Bin packing
- Combinatorial problems
- Price of anarchy

### ASJC Scopus subject areas

- Theoretical Computer Science
- Signal Processing
- Information Systems
- Computer Science Applications

### Cite this

*Information Processing Letters*,

*150*, 6-12. https://doi.org/10.1016/j.ipl.2019.06.002

**A new lower bound on the price of anarchy of selfish bin packing.** / Dósa, G.; Epstein, Leah.

Research output: Contribution to journal › Article

*Information Processing Letters*, vol. 150, pp. 6-12. https://doi.org/10.1016/j.ipl.2019.06.002

}

TY - JOUR

T1 - A new lower bound on the price of anarchy of selfish bin packing

AU - Dósa, G.

AU - Epstein, Leah

PY - 2019/10/1

Y1 - 2019/10/1

N2 - In standard bin packing, the goal is to partition or pack items with positive sizes of at most 1 into a minimum number of subsets, called bins, each of a total size no larger than 1. We study bin packing games. In these games, given a valid partition of the items, each item has a cost associated with it, based on the partition and on its size. Specifically, the cost of an item is the ratio between its size and the total size of items packed into its bin, that is, the cost sharing is in proportion to item sizes. We study pure Nash equilibria, which exist for all such games, and prove a new lower bound on the price of anarchy, which is the asymptotic worst-case ratio between the cost of the worst Nash equilibrium and a socially optimal packing.

AB - In standard bin packing, the goal is to partition or pack items with positive sizes of at most 1 into a minimum number of subsets, called bins, each of a total size no larger than 1. We study bin packing games. In these games, given a valid partition of the items, each item has a cost associated with it, based on the partition and on its size. Specifically, the cost of an item is the ratio between its size and the total size of items packed into its bin, that is, the cost sharing is in proportion to item sizes. We study pure Nash equilibria, which exist for all such games, and prove a new lower bound on the price of anarchy, which is the asymptotic worst-case ratio between the cost of the worst Nash equilibrium and a socially optimal packing.

KW - Bin packing

KW - Combinatorial problems

KW - Price of anarchy

UR - http://www.scopus.com/inward/record.url?scp=85066994127&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85066994127&partnerID=8YFLogxK

U2 - 10.1016/j.ipl.2019.06.002

DO - 10.1016/j.ipl.2019.06.002

M3 - Article

AN - SCOPUS:85066994127

VL - 150

SP - 6

EP - 12

JO - Information Processing Letters

JF - Information Processing Letters

SN - 0020-0190

ER -