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 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.
Bibliographical noteFunding Information:
G. Dósa: Supported by VKSZ_12-1-2013-0088 “Development of cloud based smart IT solutions by IBM Hungary in cooperation with the University of Pannonia” and by National Research, Development and Innovation Office—NKFIH under the Grant SNN 116095..
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- Bin packing
- Nash equilibrium
- Pareto optimality
- Selfish players
ASJC Scopus subject areas
- Computer Science Applications
- Discrete Mathematics and Combinatorics
- Control and Optimization
- Computational Theory and Mathematics
- Applied Mathematics