From 2213d172da6b639e8f33b2d60976b3e24d8fee63 Mon Sep 17 00:00:00 2001
From: Paul <Paul@Pauls-MacBook-Air.local>
Date: Thu, 14 May 2015 23:46:10 -0400
Subject: More updates.

---
 final/main.tex | 2 ++
 1 file changed, 2 insertions(+)

(limited to 'final/main.tex')

diff --git a/final/main.tex b/final/main.tex
index 6678f08..bc8917b 100644
--- a/final/main.tex
+++ b/final/main.tex
@@ -417,6 +417,8 @@ Now, let $\BRev_\beta(F)$ denote the revenue of the $\beta$-bundling mechanism i
 
 \begin{lemma}[Theorem 6.1 in \citep{yao}, with a constant of 7 instead of 8.5] Let $F =F_1\times\dots\times F_m$, let $\BRev_\beta(F)$ denote the revenue of the $\beta$-bundling mechanism, and let $\Rev_\beta(F)$ denote the revenue of the optimal $\beta$-exclusive mechanism. Then, $$\Rev_\beta(F) \leq 7\cdot \BRev_\beta(F).$$ \end{lemma}
 
+Now, to summarize the results of these lemmas, we have shown that there is a constant approximation to the r
+
 \section{Conclusion}
 
 \bibliographystyle{abbrvnat}
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