Abstract

A cooperative (uniform) bin packing game is an N-person game, where the player set consists of k bins of capacity 1 each and n items of sizes a1,…,an. The value of a coalition of players is defined to be the maximum total size of items in the coalition that can be packed into the bins of the coalition. We aim at finding a multiplicative ϵ-core allocation with ϵ as small as possible, thus approximating the core as closely as possible. Our main result shows that the 1/4-core is nonempty for all instances of the uniform bin packing game.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call