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Archit. Code Optim."],"published-print":{"date-parts":[[2018,6,30]]},"abstract":"<jats:p>Ensuring fairness in a system with scarce, preferred resources requires time sharing. We consider a heterogeneous system with a few \u201cbig\u201d and many \u201csmall\u201d processors. We allocate heterogeneous processors using a novel token mechanism, which frames the allocation problem as a repeated game. At each round, users request big processors and spend a token if their request is granted. We analyze the game and optimize users\u2019 strategies to produce an equilibrium. In equilibrium, allocations balance performance and fairness. 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