IGB/manuscript.aux

262 lines
17 KiB
TeX
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

\relax
\emailauthor{jcdonglc@ucas.ac.cn}{Jichang Dong}
\emailauthor{jingyihan18@mails.ucas.ac.cn}{Yihan Jing}
\emailauthor{hezhou@ucas.ac.cn}{Zhou He\corref {Cor}}
\emailauthor{ dongciwei@zuel.edu.cn}{Ciwei Dong}
\Newlabel{SEMUCAS}{a}
\Newlabel{SDCUCAS}{b}
\Newlabel{BDCAS}{c}
\Newlabel{MOECAS}{d}
\Newlabel{ZNU}{e}
\Newlabel{Cor}{1}
\citation{OECD2014}
\citation{spacex}
\citation{Space2022}
\citation{Suchodolski2018,Gould2000,Kunstadter2020}
\citation{Hussain2021}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{3}{}\protected@file@percent }
\newlabel{sec:introduction}{{1}{3}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Background}{3}{}\protected@file@percent }
\citation{Zheng2021}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Research questions and key findings}{4}{}\protected@file@percent }
\citation{Wooten2018}
\citation{Tang2018}
\citation{Altaf2019}
\citation{Luo2022}
\citation{Zhao2015,Xu2018,Wang2021b}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.3}Contributions}{5}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {2}Literature review}{5}{}\protected@file@percent }
\newlabel{sec:review}{{2}{5}}
\citation{Sodhi2012a,Heckmann2015}
\citation{Lin2010}
\citation{Dong2012}
\citation{Dong2012}
\citation{Dong2018}
\citation{Qin2020}
\citation{Wang2021}
\citation{LodreeJr2008}
\citation{Balcik2019}
\citation{Yu2021}
\citation{Brusset2018}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Supply chain insurance}{6}{}\protected@file@percent }
\citation{Choi2019}
\citation{Chod2020}
\citation{Queiroz2019,Wang2019,Babich2020,Li2022}
\citation{Naydenova2017,Nash2016}
\citation{Moise2018,Hilary2022,Chod2020,Korpela2017,Wang2021a}
\citation{Choi2020,Choi2021}
\citation{Pun2021,Shen2021,Fan2020}
\citation{Luo2022}
\citation{Adhikari2020}
\citation{Clark2020}
\citation{Zheng2021}
\citation{HylandWood2020}
\citation{Li2021}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Blockchain technology in supply chain management}{7}{}\protected@file@percent }
\citation{Gouda2016,Zhang2018}
\citation{Xiao2018,Luo2022}
\citation{Guo2019,Xiao2020,Jung2020}
\citation{Xu2018a,Chen2020}
\citation{Yu2018}
\citation{Hsu2019}
\citation{Berenguer2017}
\citation{Bai2021}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3}Government subsidies}{8}{}\protected@file@percent }
\citation{Andrews2011,Barschke2020}
\citation{Tang2018}
\@writefile{toc}{\contentsline {section}{\numberline {3}The case with insurance and government subsidy}{9}{}\protected@file@percent }
\newlabel{sec:models}{{3}{9}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Model I: SSC with insurance}{9}{}\protected@file@percent }
\newlabel{sec:modeli}{{3.1}{9}}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Sequence of events of model I. SO: satellite operator; VM: vehicle manufacture; IC: insurance company.\relax }}{9}{}\protected@file@percent }
\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}}
\newlabel{fig:sequence}{{1}{9}}
\newlabel{eq:id}{{1}{10}}
\@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces Notation\relax }}{10}{}\protected@file@percent }
\newlabel{tab:Parameters}{{1}{10}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.1.1}The VMs effort}{11}{}\protected@file@percent }
\newlabel{eq:vm:payoff}{{2}{11}}
\newlabel{eq:ei}{{3}{11}}
\newlabel{eq:ec}{{4}{11}}
\newlabel{eq:pv}{{6}{11}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.1.2}The IC's premium rate}{11}{}\protected@file@percent }
\newlabel{eq:pii}{{7}{12}}
\newlabel{eq:ri}{{8}{12}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.1.3}The SO's optimal price}{12}{}\protected@file@percent }
\newlabel{eq:iso:payoff}{{9}{12}}
\newlabel{eq:so:payoff_p}{{10}{12}}
\newlabel{eq:so:ls}{{11}{12}}
\newlabel{eq:CS}{{12}{13}}
\newlabel{lemma:modeli}{{3.1}{13}}
\@writefile{lot}{\contentsline {table}{\numberline {2}{\ignorespaces The equilibrium outcomes in Model I.\relax }}{13}{}\protected@file@percent }
\newlabel{tab:modeli_decisions}{{2}{13}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.1.4}Sensitivity analysis}{13}{}\protected@file@percent }
\@writefile{lot}{\contentsline {table}{\numberline {3}{\ignorespaces Sensitivity analyses for Model I and Model IG.\relax }}{14}{}\protected@file@percent }
\newlabel{tab:modeli_and_ig_sensitivity}{{3}{14}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Model IG: Satellite launch supply chain with government-subsidized insurance}{15}{}\protected@file@percent }
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Sequence of events of model IG. SO: satellite operator; VM: vehicle manufacture; IC: insurance company.\relax }}{16}{}\protected@file@percent }
\newlabel{fig:sequence_g}{{2}{16}}
\newlabel{eq:igd}{{13}{16}}
\newlabel{eq:igso:payoff}{{14}{16}}
\newlabel{eq:igvm:payoff}{{14}{16}}
\newlabel{lemma:modelig}{{3.2}{16}}
\@writefile{lot}{\contentsline {table}{\numberline {4}{\ignorespaces The equilibrium outcomes in Model IG.\relax }}{17}{}\protected@file@percent }
\newlabel{tab:modelig_decisions}{{4}{17}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.2.1}Sensitivity analysis}{17}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.2.2}Values of government subsidies}{18}{}\protected@file@percent }
\newlabel{sec:value_g}{{3.2.2}{18}}
\newlabel{eq:value_g}{{15}{18}}
\@writefile{lot}{\contentsline {table}{\numberline {5}{\ignorespaces Values of government subsidies.\relax }}{18}{}\protected@file@percent }
\newlabel{tab:value_g}{{5}{18}}
\newlabel{prop:value_decision_g}{{3.1}{18}}
\newlabel{prop:value_profit_g}{{3.2}{18}}
\citation{2020-Babich-p223-240}
\citation{Altaf2019}
\citation{Altaf2019}
\@writefile{toc}{\contentsline {section}{\numberline {4}The case with blockchain technology}{19}{}\protected@file@percent }
\newlabel{sec:blockchain}{{4}{19}}
\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces A blockchain-embed launch platform proposed by IBM, reproduced from source: \cite {Altaf2019}.\relax }}{20}{}\protected@file@percent }
\newlabel{fig:blockchain}{{3}{20}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.1}Model B: Blockchain-embedded SSC with insurance}{20}{}\protected@file@percent }
\newlabel{eq:igd}{{16}{20}}
\newlabel{eq:bso:payoff}{{17}{20}}
\newlabel{eq:bvm:payoff}{{17}{20}}
\newlabel{lemma:modelb}{{4.1}{21}}
\@writefile{lot}{\contentsline {table}{\numberline {6}{\ignorespaces The equilibrium outcomes in Model B.\relax }}{21}{}\protected@file@percent }
\newlabel{tab:modelb_decisions}{{6}{21}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.1.1}Sensitivity analysis}{21}{}\protected@file@percent }
\@writefile{lot}{\contentsline {table}{\numberline {7}{\ignorespaces Sensitivity analyses for Model I and Model B.\relax }}{22}{}\protected@file@percent }
\newlabel{tab:modeli_and_b_sensitivity}{{7}{22}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.1.2}Values of adopting BCT}{22}{}\protected@file@percent }
\newlabel{sec:value_b}{{4.1.2}{22}}
\newlabel{eq:value_b}{{18}{22}}
\newlabel{prop:value_decision_b}{{4.1}{22}}
\@writefile{lot}{\contentsline {table}{\numberline {8}{\ignorespaces Values of BCT on optimal decisions.\relax }}{23}{}\protected@file@percent }
\newlabel{tab:value_decision_b}{{8}{23}}
\@writefile{lot}{\contentsline {table}{\numberline {9}{\ignorespaces Values of BCT on members' payoffs.\relax }}{23}{}\protected@file@percent }
\newlabel{tab:value_profit_b}{{9}{23}}
\newlabel{prop:value_profit_b}{{4.2}{23}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.2}Model BG: Blockchain-embedded SSC with government-subsidized insurance}{24}{}\protected@file@percent }
\newlabel{eq:bvm:payoff}{{19}{24}}
\newlabel{lemma:modelbg}{{4.2}{24}}
\@writefile{lot}{\contentsline {table}{\numberline {10}{\ignorespaces The equilibrium outcomes in Model BG.\relax }}{25}{}\protected@file@percent }
\newlabel{tab:modelbg_decisions}{{10}{25}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.2.1}Sensitivity analysis}{25}{}\protected@file@percent }
\@writefile{lot}{\contentsline {table}{\numberline {11}{\ignorespaces Sensitivity analyses for Model IG and Model BG.\relax }}{26}{}\protected@file@percent }
\newlabel{tab:modelig_and_bg_sensitivity}{{11}{26}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.2.2}Values of applying both BCT and government subsidies}{27}{}\protected@file@percent }
\newlabel{eq:value_bg}{{20}{27}}
\newlabel{prop:value_decision_bg}{{4.3}{27}}
\newlabel{prop:value_profit_bg}{{4.4}{27}}
\newlabel{fig:sw1}{{4a}{28}}
\newlabel{sub@fig:sw1}{{a}{28}}
\newlabel{fig:sw2}{{4b}{28}}
\newlabel{sub@fig:sw2}{{b}{28}}
\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces The value of blockchain for social welfare with (i.e., $V_{SW}^{GB}$: the light grey area with the overlapping part enclosed by line $SW^{IG}$ and line $SW^{BG}$) and without government subsidies (i.e., $V_{SW}^B$: the dark grey area with the overlapping part enclosed by line $SW^I$ and line $SW^B$), when $k=0.8$, $k^{B}=0.6$, $c_{V}=0.01$, $c_{S}=0.1$, $ \theta =0.5$, $b=0.9$, $g=0.5$, $\alpha =0.2$, $(c_{SB}+c_{VB})_1=\frac {3k\eta ^2-3k^{B}\phi ^2+32\alpha k k^{B}(\eta -\phi )}{256kk^{B}(1-\alpha )^2}+\frac {b^2+2b}{8} $, $(c_{SB}+c_{VB})_2=\frac {3k\lambda ^2-3k^{B}\psi ^2+32\alpha k k^{B}(\lambda -\psi )}{256kk^{B}(1-\alpha )^2}+\frac {b^2+2b}{8} $, $(c_{SB})_3= \frac {k(\mu -\alpha k^{B})[\eta -8(\mu -\alpha k^{B})]-k^{B}(\omega -\alpha k)[\phi -8(\omega -\alpha k)]}{4kk^{B}(1-\alpha )^2}+\frac {b^2+2b}{8}$, $(c_{SB})_4=\frac {k(\mu -\alpha k^{B})[\lambda -8(\mu -\alpha k^{B})]-k^{B}(\omega -\alpha k)[\psi -8(\omega -\alpha k)]}{4kk^{B}(1-\alpha )^2}+\frac {b^2+2b}{8}$ . \relax }}{28}{}\protected@file@percent }
\newlabel{fig:value_sw}{{4}{28}}
\@writefile{lot}{\contentsline {table}{\numberline {12}{\ignorespaces Values of BCT with government subsidies on optimal decisions.\relax }}{29}{}\protected@file@percent }
\newlabel{tab:value_decision_bg}{{12}{29}}
\@writefile{lot}{\contentsline {table}{\numberline {13}{\ignorespaces Values of BCT with government subsidies on members' payoffs.\relax }}{29}{}\protected@file@percent }
\newlabel{tab:value_profit_bg}{{13}{29}}
\@writefile{lot}{\contentsline {table}{\numberline {14}{\ignorespaces The increases in the value of BCT on optimal decisions under government subsidies.\relax }}{29}{}\protected@file@percent }
\newlabel{tab:value_decision}{{14}{29}}
\@writefile{lot}{\contentsline {table}{\numberline {15}{\ignorespaces The increases in the value of BCT on on members' payoffs under government subsidies.\relax }}{29}{}\protected@file@percent }
\newlabel{tab:value_profit}{{15}{29}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Extended models}{30}{}\protected@file@percent }
\newlabel{sec:extensions}{{5}{30}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1}Marginal cost of adopting BCT}{30}{}\protected@file@percent }
\newlabel{extend:model_c}{{5.1}{30}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.1.1}Model B-c}{30}{}\protected@file@percent }
\newlabel{eq:bcd}{{21}{30}}
\newlabel{eq:bso:payoff}{{22}{30}}
\newlabel{eq:bvm:payoff}{{22}{30}}
\newlabel{prop:modelbc_vs_b}{{5.1}{30}}
\@writefile{lot}{\contentsline {table}{\numberline {16}{\ignorespaces The equilibrium outcomes in Model B-c.\relax }}{31}{}\protected@file@percent }
\newlabel{tab:modelbc_decisions}{{16}{31}}
\newlabel{prop:modelbc_vs_i}{{5.2}{32}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.1.2}Model BG-c}{33}{}\protected@file@percent }
\newlabel{eq:bgcd}{{23}{33}}
\newlabel{eq:bso:payoff}{{24}{33}}
\newlabel{eq:bvm:payoff}{{24}{33}}
\newlabel{prop:modelbgc_vs_bg}{{5.3}{33}}
\@writefile{lot}{\contentsline {table}{\numberline {17}{\ignorespaces The equilibrium outcomes in Model BG-c.\relax }}{34}{}\protected@file@percent }
\newlabel{tab:modelbgc_decisions}{{17}{34}}
\newlabel{prop:modelbgc_vs_g}{{5.4}{34}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.2}Alliance}{35}{}\protected@file@percent }
\@writefile{lot}{\contentsline {table}{\numberline {18}{\ignorespaces The equilibrium outcomes in Model IA and Model GA.\relax }}{36}{}\protected@file@percent }
\newlabel{tab:modelia_modelga_decisions}{{18}{36}}
\@writefile{lot}{\contentsline {table}{\numberline {19}{\ignorespaces The equilibrium outcomes in Model BA and Model BGA.\relax }}{37}{}\protected@file@percent }
\newlabel{tab:modelba_modelbga_decisions}{{19}{37}}
\newlabel{prop:modela_vs_model}{{5.5}{37}}
\@writefile{toc}{\contentsline {section}{\numberline {6}Conclusions}{37}{}\protected@file@percent }
\newlabel{sec:conclusions}{{6}{37}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.1}Remarkable findings}{37}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {6.2}Managerial implications}{39}{}\protected@file@percent }
\citation{Barschke2020}
\bibstyle{model5-names-with-volume-number}
\bibdata{SAVM}
\bibcite{Adhikari2020}{{1}{2020}{{Adhikari \& Davis}}{{}}}
\bibcite{Altaf2019}{{2}{2019}{{Altaf}}{{}}}
\bibcite{Andrews2011}{{3}{2011}{{Andrews \& Bonnema}}{{}}}
\bibcite{Space2022}{{4}{2022}{{Association}}{{}}}
\bibcite{Babich2020}{{5}{2020{a}}{{Babich \& Hilary}}{{}}}
\bibcite{2020-Babich-p223-240}{{6}{2020{b}}{{Babich \& Hilary}}{{}}}
\bibcite{Bai2021}{{7}{2021}{{Bai et~al.}}{{Bai, Hu, Gui, So \& Ma}}}
\bibcite{Balcik2019}{{8}{2019}{{Balcik et~al.}}{{Balcik, Silvestri, Rancourt \& Laporte}}}
\@writefile{toc}{\contentsline {subsection}{\numberline {6.3} Future research}{40}{}\protected@file@percent }
\bibcite{Barschke2020}{{9}{2020}{{Barschke}}{{}}}
\bibcite{Berenguer2017}{{10}{2017}{{Berenguer et~al.}}{{Berenguer, Feng, Shanthikumar \& Xu}}}
\bibcite{Brusset2018}{{11}{2018}{{Brusset \& Bertrand}}{{}}}
\bibcite{Chen2020}{{12}{2020}{{Chen et~al.}}{{Chen, Yang, Wang \& Choi}}}
\bibcite{Chod2020}{{13}{2020}{{Chod et~al.}}{{Chod, Trichakis, Tsoukalas, Aspegren \& Weber}}}
\bibcite{Choi2019}{{14}{2019}{{Choi}}{{}}}
\bibcite{Choi2020}{{15}{2020}{{Choi}}{{}}}
\bibcite{Choi2021}{{16}{2021}{{Choi \& Ouyang}}{{}}}
\bibcite{Clark2020}{{17}{2020}{{Clark et~al.}}{{Clark, Tung, Clark \& Zapanta}}}
\bibcite{Dong2018}{{18}{2018}{{Dong et~al.}}{{Dong, Tang \& Tomlin}}}
\bibcite{Dong2012}{{19}{2012}{{Dong \& Tomlin}}{{}}}
\bibcite{Fan2020}{{20}{2020}{{Fan et~al.}}{{Fan, Wu \& Cao}}}
\bibcite{Gouda2016}{{21}{2016}{{Gouda et~al.}}{{Gouda, Jonnalagedda \& Saranga}}}
\bibcite{Gould2000}{{22}{2000}{{Gould \& Linden}}{{}}}
\bibcite{Guo2019}{{23}{2019}{{Guo et~al.}}{{Guo, He \& Gen}}}
\bibcite{Heckmann2015}{{24}{2015}{{Heckmann et~al.}}{{Heckmann, Comes \& Nickel}}}
\bibcite{Hilary2022}{{25}{2022}{{Hilary}}{{}}}
\bibcite{Hsu2019}{{26}{2019}{{Hsu et~al.}}{{Hsu, Lai \& Liang}}}
\bibcite{Hussain2021}{{27}{2021}{{Hussain \& Cohn}}{{}}}
\bibcite{HylandWood2020}{{28}{2020}{{Hyland-Wood et~al.}}{{Hyland-Wood, Robinson, Johnson, Hare, Henderson, Lewicki \& Saltini}}}
\bibcite{Jung2020}{{29}{2020}{{Jung \& Feng}}{{}}}
\bibcite{Korpela2017}{{30}{2017}{{Korpela et~al.}}{{Korpela, Hallikas \& Dahlberg}}}
\bibcite{Kunstadter2020}{{31}{2020}{{Kunstadter}}{{}}}
\bibcite{Li2022}{{32}{2022}{{Li et~al.}}{{Li, He \& Wang}}}
\bibcite{Li2021}{{33}{2021}{{Li et~al.}}{{Li, Wang \& Zhang}}}
\bibcite{Lin2010}{{34}{2010}{{Lin et~al.}}{{Lin, Cai \& Xu}}}
\bibcite{LodreeJr2008}{{35}{2008}{{Lodree~Jr \& Taskin}}{{}}}
\bibcite{Luo2022}{{36}{2022}{{Luo \& Choi}}{{}}}
\bibcite{Moise2018}{{37}{2018}{{Moise \& Chopping}}{{}}}
\bibcite{Nash2016}{{38}{2016}{{Nash}}{{}}}
\bibcite{Naydenova2017}{{39}{2017}{{Naydenova}}{{}}}
\bibcite{OECD2014}{{40}{2014}{{OECD}}{{}}}
\bibcite{Pun2021}{{41}{2021}{{Pun et~al.}}{{Pun, Swaminathan \& Hou}}}
\bibcite{Qin2020}{{42}{2020}{{Qin et~al.}}{{Qin, Shao \& Jiang}}}
\bibcite{Queiroz2019}{{43}{2019}{{Queiroz et~al.}}{{Queiroz, Telles \& Bonilla}}}
\bibcite{Shen2021}{{44}{2021}{{Shen et~al.}}{{Shen, Dong \& Minner}}}
\bibcite{Sodhi2012a}{{45}{2012}{{Sodhi et~al.}}{{Sodhi, Son \& Tang}}}
\bibcite{Suchodolski2018}{{46}{2018}{{Suchodolski}}{{}}}
\bibcite{Tang2018}{{47}{2018}{{Tang et~al.}}{{Tang, Yang \& Wu}}}
\bibcite{spacex}{{48}{2013}{{Tariq}}{{}}}
\bibcite{Wang2021b}{{49}{2021{a}}{{Wang et~al.}}{{Wang, Zhao \& Huchzermeier}}}
\bibcite{Wang2021}{{50}{2021{b}}{{Wang et~al.}}{{Wang, Qin \& Xia}}}
\bibcite{Wang2021a}{{51}{2021{c}}{{Wang et~al.}}{{Wang, Chen \& Zghari-Sales}}}
\bibcite{Wang2019}{{52}{2019}{{Wang et~al.}}{{Wang, Han \& Beynon-Davies}}}
\bibcite{Wooten2018}{{53}{2018}{{Wooten \& Tang}}{{}}}
\bibcite{Xiao2020}{{54}{2020}{{Xiao et~al.}}{{Xiao, Xiao, Liang, Chen \& Lu}}}
\bibcite{Xiao2018}{{55}{2018}{{Xiao \& Xu}}{{}}}
\bibcite{Xu2018a}{{56}{2018{a}}{{Xu et~al.}}{{Xu, Hsu \& Niu}}}
\bibcite{Xu2018}{{57}{2018{b}}{{Xu et~al.}}{{Xu, Chen, Jia, Brown, Gong \& Xu}}}
\bibcite{Yu2018}{{58}{2018}{{Yu et~al.}}{{Yu, Tang \& Shen}}}
\bibcite{Yu2021}{{59}{2021}{{Yu et~al.}}{{Yu, Wu \& Qu}}}
\bibcite{Zhang2018}{{60}{2018}{{Zhang \& Zhang}}{{}}}
\bibcite{Zhao2015}{{61}{2015}{{Zhao \& Huchzermeier}}{{}}}
\bibcite{Zheng2021}{{62}{2021}{{Zheng et~al.}}{{Zheng, Zhang, Chen \& Wu}}}
\gdef \@abspage@last{44}