Convergence Time to Nash Equilibrium in Selfish Bin Packing
نویسندگان
چکیده
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 O(mw2 max + nwmax) 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.
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ورودعنوان ژورنال:
- Electronic Notes in Discrete Mathematics
دوره 35 شماره
صفحات -
تاریخ انتشار 2009