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\contentsline {section}{\numberline {1}Introduction}{4}%
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\contentsline {section}{\numberline {2}Model}{7}%
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\contentsline {subsection}{\numberline {2.1}Model Description}{7}%
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\contentsline {subsection}{\numberline {2.2}Constellation Operator's Program}{10}%
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\contentsline {subsubsection}{\numberline {2.2.1}Characterizing solutions}{11}%
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\contentsline {subsubsection}{\numberline {2.2.2}Conditions for existence of a solution}{13}%
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\contentsline {subsection}{\numberline {2.3}Social Planner's Program}{13}%
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\contentsline {subsubsection}{\numberline {2.3.1}Characterizing solutions}{14}%
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\contentsline {section}{\numberline {3}Analysis}{15}%
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\contentsline {subsection}{\numberline {3.1}Survival Ratios}{15}%
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\contentsline {subsection}{\numberline {3.2}Kessler Syndrome}{17}%
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\contentsline {section}{\numberline {4}Summary and Concluding Remarks}{18}%
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\contentsline {section}{\numberline {A}Derivations}{23}%
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\contentsline {subsection}{\numberline {A.1}Survival Rates}{23}%