diff options
| author | Thibaut Horel <thibaut.horel@gmail.com> | 2013-09-21 18:16:12 -0400 |
|---|---|---|
| committer | Thibaut Horel <thibaut.horel@gmail.com> | 2013-09-21 18:16:12 -0400 |
| commit | 50900bfc44961b87379cd2d3464b677d9f5be1ac (patch) | |
| tree | 13580a640a6833b293b8b179e8746b13aa3d91b2 /intro.tex | |
| parent | 965b5c2121de6b37e236bd57481c90c39fc47fb3 (diff) | |
| download | recommendation-50900bfc44961b87379cd2d3464b677d9f5be1ac.tar.gz | |
Converting to LATIN format
Diffstat (limited to 'intro.tex')
| -rw-r--r-- | 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} |
