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| author | Stratis Ioannidis <stratis@Stratiss-MacBook-Air.local> | 2013-09-22 07:55:14 +0200 |
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| committer | Stratis Ioannidis <stratis@Stratiss-MacBook-Air.local> | 2013-09-22 07:55:14 +0200 |
| commit | cc1eea524d8fd1314d85fe7b56cddd95fd75302d (patch) | |
| tree | 8d028b58c801d7263e2457e5cf9934e279b51e70 /intro.tex | |
| parent | 1cb6e4b28e77b8c1a87e54bbd7097d7f8af0e371 (diff) | |
| parent | 50900bfc44961b87379cd2d3464b677d9f5be1ac (diff) | |
| download | recommendation-cc1eea524d8fd1314d85fe7b56cddd95fd75302d.tar.gz | |
Merge branch 'master' of ssh://74.95.195.229:1444/git/data_value
Diffstat (limited to 'intro.tex')
| -rwxr-xr-x | intro.tex | 2 |
1 files changed, 1 insertions, 1 deletions
@@ -42,7 +42,7 @@ We present a polynomial time mechanism scheme for \SEDP{} that is approximately In contrast to this, we show that no truthful, budget-feasible mechanisms are possible for \SEDP{} within a factor 2 approximation. \smallskip -We note that the objective \eqref{obj} is submodular. Using this fact, applying previous results on budget feasible mechanism design under general submodular objectives~\cite{singer-mechanisms,chen} would yield either a deterministic, truthful, constant-approximation mechanism that requires exponential time, or a non-deterministic, (universally) truthful, poly-time mechanism that yields a constant approximation ratio only \emph{in expectation} (\emph{i.e.}, its approximation guarantee for a given instance may in fact be unbounded). +We note that the objective \eqref{obj} is submodular. Using this fact, applying previous results on budget feasible mechanism design under general submodular objectives~\cite{singer-mechanisms,chen} would yield either a deterministic, truthful, constant-approximation mechanism that requires exponential time, or a non-determi\-nis\-tic, (universally) truthful, poly-time mechanism that yields a constant approximation ratio only \emph{in expectation} (\emph{i.e.}, its approximation guarantee for a given instance may in fact be unbounded). \end{itemize} |
