deletions | additions       diff --git a/sectionExtensions__T.tex b/sectionExtensions__T.tex  index 04b77c8..bc8c735 100644  --- a/sectionExtensions__T.tex  +++ b/sectionExtensions__T.tex 
...
\end{equation}  From this, we can calculate the \textit{ex ante} expected social surplus\footnote{The calculus is not different from the one used in Section 5. See the Appendix. Clearly, we verify that $s^{*}\left(b,k\right)=s^{1}\left(b,k\right)$.}  $$ \begin{equation}  s^{n}\left(b,k\right)=  \left(b-\frac{1}{2}\right)  +\frac{\left(1-k\right)^{2}}{2n\left(b-k\right)+\left(1-k\right)^{2}}\left(\frac{1}{2}-2b+k+\frac{1}{3}b^{2}f\left(\frac{k}{b}\right)\right).  \label{eq:sn}  $$ \end{equation}  \bigskip{}