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• W1852807583 abstract "We investigate coordination mechanisms that schedule n jobs on m unrelated machines. The objective is to minimize the makespan. It was raised as an open question whether it is possible to design a coordination mechanism that has constant price of anarchy using preemption. We give a negative answer. Next we introduce multi-job players that control a set of jobs, with the aim of minimizing the sum of the completion times of theirs jobs. In this setting, previous mechanisms designed for players with single jobs are inadequate, e.g., having large price of anarchy, or not guaranteeing pure Nash equilibria. To meet this challenge, we design three mechanisms that induce pure Nash equilibria while guaranteeing relatively small price of anarchy. Then we consider multi-job players where each player’s objective is to minimize the weighted sum of completion time of her jobs, while the social cost is the sum of players’ costs. We first prove that if machines order jobs according to Smith-rule, then the coordination ratio is at most 4, moreover this is best possible among non-preemptive policies. Then we design a preemptive policy, externality that has coordination ratio 2.618, and complement this result by proving that this ratio is best possible even if we allow for randomization or full information. An interesting consequence of our results is that an e−local optima of R| | ∑ wiCi for the jump neighborhood can be found in polynomial time and is within a factor of 2.618 of the optimal solution." @default.
• W1852807583 created "2016-06-24" @default.
• W1852807583 creator A5013671492 @default.
• W1852807583 date "2015-01-01" @default.
• W1852807583 modified "2023-09-27" @default.
• W1852807583 title "Coordinating selfish players in scheduling games" @default.
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• W1852807583 doi "https://doi.org/10.22028/d291-26614" @default.
• W1852807583 hasPublicationYear "2015" @default.
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