Article ID Journal Published Year Pages File Type
4652459 Electronic Notes in Discrete Mathematics 2009 6 Pages PDF
Abstract

We consider a game-theoretic bin packing problem and we study the convergence time to a Nash equilibrium. We show that, if the best-response strategy is used, then the number of steps needed to reach Nash equilibrium is and O(nkwmax), where n, m, k and wmax denotes, resp., the number of items, the number of bins, the number of distinct item sizes, and the size of a largest item.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics