Theory Seminar: The Power of VCG: On Algorithms that are Maximal In Range

שחר דובזינסקי, מדעי המחשב , האונ' העברית, י-ם
יום ראשון, 3.2.2008, 11:00
חדר 337, בניין טאוב למדעי המחשב

Consider the following simple type of approximation algorithms: limit the set of possible outcomes, and completely optimize over the restricted subrange. In this talk we will study the power of this type of algorithms in two settings: multi-unit auctions, and combinatorial auctions with subadditive bidders.

From a game-theoretic point of view, our results provide a characterization of the power of the main positive result of mechanism design the VCG mechanism. Another motivation is that our lower bounds might play a crucial role towards setting lower bounds on the power of polynomial time truthful mechanisms. We will explain and discuss these issues.

Joint work with Noam Nisan.

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