Topics on the Border of Economics and Computation
نویسندگان
چکیده
In the previous lecture we have introduced the load balancing game, in which the players are jobs 1, . . . , n, with loads w1, . . . , wn, respectively, that are to be run on m machines. Every job has do decide on which machine to run (a strategy) in order to minimize its running time, which is defined to be the sum of the loads of the jobs that run on the machine (as if all jobs were run in parallel, using time sharing). Thus, for every player i, the set of strategies Si is the set of the machines. For a job 1 ≤ i ≤ n, we define the cost function ci := ∑
منابع مشابه
Topics on the Border of Economics and Computation
The constraints defined in Eq. 1 (for every si and s ′ i) are linear constraints on P . So are the constraints P (s1, . . . , sn) ≥ 0 and ∑ P (s1, . . . , sn) = 1. We conclude that the set of correlated equilibria define a polyhedron, and moreover, that we can find a correlated equilibrium which maximizes any linear function of P using linear programming. Specifically, we can find the correlate...
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