\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {1}{1}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@sectionpages {1}{1}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@subsectionpages {1}{1}}
\defcounter {refsection}{0}\relax 
\headcommand {\sectionentry {1}{Introduction}{2}{Introduction}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {1}{0}{1}{2/2}{}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {2}{2}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {1}{0}{2}{3/3}{}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {3}{3}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@sectionpages {2}{3}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@subsectionpages {2}{3}}
\defcounter {refsection}{0}\relax 
\headcommand {\sectionentry {2}{Literature}{4}{Literature}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {2}{0}{1}{4/4}{}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {4}{4}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@sectionpages {4}{4}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@subsectionpages {4}{4}}
\defcounter {refsection}{0}\relax 
\headcommand {\sectionentry {3}{Model}{5}{Model}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {3}{0}{1}{5/5}{}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {5}{5}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {3}{0}{2}{6/6}{}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {6}{6}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@subsectionpages {5}{6}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@subsectionentry {0}{3}{1}{7}{Constellation Operator's Problem}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {3}{1}{1}{7/7}{Constellation Operator's Problem}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {7}{7}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {3}{1}{2}{8/8}{Constellation Operator's Problem}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {8}{8}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {3}{1}{2}{8/9}{Constellation Operator's Problem}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {8}{9}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {3}{1}{2}{8/10}{Constellation Operator's Problem}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {8}{10}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@subsectionpages {7}{10}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@subsectionentry {0}{3}{2}{11}{Social Planner's Problem}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {3}{2}{1}{11/11}{Social Planner's Problem}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {11}{11}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {4}{1}{0}{12/12}{Social Planner's Problem}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {12}{12}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@sectionpages {5}{11}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@subsectionpages {11}{11}}
\defcounter {refsection}{0}\relax 
\headcommand {\sectionentry {4}{Analysis}{12}{Analysis}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@subsectionpages {12}{11}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@subsectionentry {0}{4}{1}{12}{Welfare Analysis}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {4}{1}{0}{12/13}{Social Planner's Problem}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {12}{13}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {4}{1}{1}{14/14}{Social Planner's Problem}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {14}{14}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@subsectionpages {11}{14}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@subsectionentry {0}{4}{2}{15}{Survival Rates}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {4}{2}{1}{15/15}{Survival Rates}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {15}{15}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {4}{2}{2}{16/16}{Survival Rates}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {16}{16}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {4}{2}{3}{17/17}{Survival Rates}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {17}{17}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@subsectionpages {15}{17}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@subsectionentry {0}{4}{3}{18}{Kessler Syndrome}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {4}{3}{0}{18/18}{Survival Rates}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {18}{18}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@sectionpages {5}{18}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@subsectionpages {15}{18}}
\defcounter {refsection}{0}\relax 
\headcommand {\sectionentry {5}{Conclusion}{19}{Conclusion}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {5}{0}{1}{19/19}{}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {19}{19}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@sectionpages {19}{19}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@subsectionpages {19}{19}}
\defcounter {refsection}{0}\relax 
\headcommand {\sectionentry {6}{References}{20}{References}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {6}{0}{0}{20/20}{}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {20}{20}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {6}{0}{0}{20/21}{}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {20}{21}}
\defcounter {refsection}{0}\relax 
\headcommand {\slideentry {6}{0}{0}{20/22}{}{0}}
\defcounter {refsection}{0}\relax 
\headcommand {\beamer@framepages {20}{22}}
\headcommand {\beamer@partpages {1}{22}}
\headcommand {\beamer@subsectionpages {19}{22}}
\headcommand {\beamer@sectionpages {19}{22}}
\headcommand {\beamer@documentpages {22}}
\headcommand {\gdef \inserttotalframenumber {22}}