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k - SNAP - Stanford University

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Arbitrary bids; consider query q, bidder i<br />

Bid = x i<br />

Budget = b i<br />

Amount spent so far = m i<br />

Fraction of budget left over f i = 1-m i/b i<br />

Define ψ i(q) = x i(1-e -fi)<br />

Allocate query q to bidder i with largest value<br />

of ψ i(q)<br />

Same competitive ratio (1-1/e)<br />

3/7/2011 Jure Leskovec, <strong>Stanford</strong> C246: Mining Massive Datasets<br />

34

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