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Single Parameter Combinatorial Auctions

Single Parameter Combinatorial Auctions. Lei Wang Georgia Institute of Technology Joint work with Gagan Goel Chinmay Karande Google Georgia Tech.

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Single Parameter Combinatorial Auctions

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  1. Single Parameter Combinatorial Auctions Lei Wang Georgia Institute of Technology Joint work with Gagan Goel Chinmay Karande Google Georgia Tech

  2. Overview of Combinatorial Auction • Setting • Mechanism • Allocation: • Payment: • Truthfulness • Social welfare

  3. Our Model and motivation • Motivation

  4. Example: TV ad Auction

  5. Our Model • Public function • Private value: • Valuations

  6. Myerson’s Characterization of truthful mechanism • Monotone allocation: • Payment is determined • Example: VCG mechanism • Approximation algorithm might not be monotone

  7. Our result:

  8. Our conversion • Plan: • Choose a range R • Run MIR • Show:

  9. Construction of our range

  10. Range

  11. Properties

  12. Proof

  13. Conclusion • Conversion

  14. Future direction • Randomized mechanism • Randomized maximum in range • Randomized rounding

  15. Truthfulness v.s. Approximability • Huge clash in non-Bayesian setting • On the hardness of being truthful C.Papadimitriou and Y.Singer FOCS’08 • No clash in Bayesian setting • Bayesian algorithmic mechanism design J.Hartline and B.Lucier STOC’10 • Towards Optimal Bayesian Algorithmic Mechanism Design X.Bei and Z. Huang SODA’11 • Is there any clash for single-parameter?

  16. Thank you! 谢谢

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