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| Content Provider | Society for Industrial and Applied Mathematics (SIAM) |
|---|---|
| Author | Dughmi, Shaddin Roughgarden, Tim |
| Copyright Year | 2014 |
| Abstract | We give the first black-box reduction from approximation algorithms to truthful approximation mechanisms for a non-trivial class of multi-parameter problems. Specifically, we prove that every welfare-maximization problem that admits a fully polynomial-time approximation scheme (FPTAS) and can be encoded as a packing problem also admits a truthful-in-expectation randomized mechanism that is an FPTAS. Our reduction makes novel use of smoothed analysis by employing small perturbations as a tool in algorithmic mechanism design. We develop a duality between linear perturbations of the objective function of an optimization problem and of its feasible set, and we use the primal and dual viewpoints to prove the running time bound and the truthfulness guarantee, respectively, for our mechanism. |
| Starting Page | 312 |
| Ending Page | 336 |
| Page Count | 25 |
| File Format | |
| ISSN | 00975397 |
| DOI | 10.1137/110843654 |
| e-ISSN | 10957111 |
| Journal | SIAM Journal on Computing (SMJCAT) |
| Issue Number | 1 (Special Section on the Fifty-First Annual IEEE Symposium on Foundations of Computer Science (FOCS 2010)) |
| Volume Number | 43 |
| Language | English |
| Publisher | Society for Industrial and Applied Mathematics |
| Publisher Date | 2014-02-20 |
| Access Restriction | Subscribed |
| Subject Keyword | algorithmic mechanism design Analysis of algorithms and problem complexity smoothed analysis black-box reductions |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics Computer Science |
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