problem

1 files changed, 4 insertions, 4 deletions

diff --git a/problem.tex b/problem.tex
index 9d3fb9f..a3b54b4 100644
--- a/problem.tex
+++ b/problem.tex
@@ -83,10 +83,10 @@ matrices $R$ can be found in Section~\ref{sec:ext}.
  %Note that \eqref{dcrit} is a submodular set function, \emph{i.e.}, 
 %$V(S)+V(T)\geq V(S\cup T)+V(S\cap T)$ for all $S,T\subseteq \mathcal{N}$; it is also monotone, \emph{i.e.}, $V(S)\leq V(T)$ for all $S\subset T$.
 
-\subsection{Budgeted-Feasible Experimental Design: Full Information Case}
+\subsection{Budget-Feasible Experimental Design: Full Information Case}
 
-Beyond the cardinality constraint in classical experimental design discussed above, is 
-the budgeted version. 
+Beyond the cardinality constraint in classical experimental design discussed above, a 
+ budgeted version can also be considered. 
 %depart from the above classic experimental design setting by assuming that 
 Each experiment is associated with a cost $c_i\in\reals_+$. Moreover, the experimenter $\E$ is limited by a budget $B\in \reals_+$. 
 The cost $c_i$ can capture, \emph{e.g.}, the amount the subject $i$ deems sufficient to
@@ -118,7 +118,7 @@ for all $S\subseteq\mathcal{N}$, since the matrix $\T{X_S}X_S$ is positive semi-
 \end{equation}
 the optimal value achievable in the full-information case. 
 
-\subsection{Experimental Design Problem: Strategic Case}
+\subsection{Budget-Feasible Experimental Design: Strategic Case}
 We study the strategic case when $c_i$'s are specified by the subjects and they are strategic. 
 In this case, the costs $c_i$ are {\em not} common knowledge and they are reported by the 
 % their reporting can be manipulated by the