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On Maximizing Revenue for Multi-Item Auctions

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Proves a concrete constant-factor approximation for revenue in independent multi-item, multi-buyer auctions by decomposing the problem via an N-to-one reduction into disjoint one-buyer K-item problems, then designing a deterministic truthful mechanism called beta-bundling (choose per-buyer beta thresholds, sell separately or bundle with surcharge). Shows DBG mechanism is constant-competitive with optimal revenue, bounds the “dumping tax” by second-price revenue, and extends the bound to BIC vs DIC.

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  1. 0:00Start
  2. 9:45The Structure of a Mechanism
  3. 10:46Notation
  4. 13:03Examples of the Possible Beta Exclusive Mechanism
  5. 24:21Proof of Lemma
  6. 31:05Proof of Theorem 2
  7. 33:46Second Price Bundling
  8. 34:14Conclusion
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