Applied Mechanism Design for Social Good
نویسنده
چکیده
We assume some sort of structure on the users’ demand which is called Leontief preferences, and states that the utility of an agent is the fraction of its dominant resource that it can actually use, given its proportional demands and its allocation of the various resources. For example, an agent that requires twice as much CPU as RAM to run a task prefers to be allocated 4 CPU units and 2 RAM units to 2 CPU units and 1 RAM unit, but is indifferent between the former allocation and 5 CPU units and 2 RAM units. Let wi denote the units of resource i that an agent needs to run a task, and let xi denote the units of resource i that is allocated to this agent. The utility of the agent in this allocation is as follows:
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