* 여기의 예는, istgame v0.6 and v0.7에 맞춰져 있음 * 최신 버전(v0.8 or later)의 istgame 을 설치한 경우, 문서를 따라 이 페이지의 예에 나오는 명령어 이름을 적절히 바꾸어야 함. * egameps의 저자인 Osborne의 책 ''An Introduction to Game Theory''(IGT)에 나오는 게임 트리 몇 개 그려 보기. * 관심 있는 누군가가 output을 올려주기를 바라며... --ischo * [http://dl.doeun.kr/misc/istgamesamples/output.pdf output.pdf] === IGT === ==== IGT-1 ==== * Figure 158.1{{{ \begin{istgame} \xdistance{10mm}{40mm} \istroot(0)[initial node]{Challenger} \istb{In}[al] \istb{Out}[ar]{1,2} \endist \xdistance{10mm}{20mm} \istroot(1)(0-1)<150>{Incumbent} \istb{Acquiesce}[al]{2,1} \istb{Fight}[ar]{0,0} \endist \end{istgame} }}} * Figure 159.1{{{ \begin{istgame} \xdistance{10mm}{40mm} \istroot(0)[initial node]{1} \istb{C}[al] \istb{D}[ar] \endist \xdistance{10mm}{20mm} \istroot(1)(0-1)<135>{2} \istb{E}[al]{2,1} \istb{F}[ar]{3,0} \endist \istroot(2)(0-2)<45>{2} \istb{G}[al]{0,2} \istb{H}[ar]{1,3} \endist \end{istgame} }}} * Figure 160.1{{{ \begin{istgame} \xdistance{10mm}{20mm} \istroot(0)[initial node]{1} \istb{C}[al] \istb{D}[ar]{2,0} \endist \istroot(1)(0-1)<135>{2} \istb{E}[al] \istb{F}[ar]{3,1} \endist \istroot(2)(1-1)<135>{1} \istb{G}[al]{1,2} \istb{H}[ar]{0,0} \endist \end{istgame} }}} * Figure 170.1{{{ \begin{istgame}[line width=.8pt] \xdistance{10mm}{40mm} \istroot(0)[initial node]{1} \istb{C}[al] \istb[black!30]{D}[ar] \endist \xdistance{10mm}{20mm} \istroot(1)(0-1)<135>{2} \istb{E}[al]{2,1} \istb[black!30]{F}[ar]{3,0} \endist \istroot(2)(0-2)<45>{2} \istb[black!30]{G}[al]{0,2} \istb{H}[ar]{1,3} \endist \end{istgame} }}} * Figure 208.1{{{ %\usepackage{tabu} %\DeclareExpandableDocumentCommand\xcol{mO{c}m}% % {\multicolumn{#1}{#2}{\ensuremath{#3}} } \begin{istgame} \xdistance{10mm}{40mm} \istroot(0)[initial node]{1} \istb{Book}[al]{2,2} \istb{Concert}[ar]{ \begin{tabu}spread0pt{X[$c1]*2{|X[$c2]}|} \xcol1{~} & \xcol1{B} & \xcol1{S} \\\tabucline{2-} B & 3,1 & 0,0 \\\tabucline{2-} S & 0,0 & 1,3 \\\tabucline{2-} \end{tabu} } \endist \end{istgame} }}} * Figure 218.1{{{ \begin{istgame} \xdistance{10mm}{20mm} \istroot(0){Vote} \istb{a}[al]{x} \istb{b}[ar] \endist \istroot(1)([yshift=-1.5em]0-2){Vote} \istb{c}[al]{y} \istb{d}[ar]{z} \endist \end{istgame} }}} * Figure 234.1{{{ \begin{istgame} \setistgrowdirection{-45} \xdistance{10mm}{20mm} \istroot(0){1} \istb{S}[r]{2,0}[b] \istb{C}[a] \endist \istroot(1)(0-2){2} \istb{S}[r]{1,3}[b] \istb{C}[a] \endist \istroot(2)(1-2){1} \istb{S}[r]{4,2}[b] \istb{C}[a] \endist \istroot(3)(2-2){2} \istb{S}[r]{3,5}[b] \istb{C}[a] \endist \istroot(4)(3-2){1} \istb{S}[r]{6,4}[b] \istb{C}[a] \endist \istroot(5)(4-2){2} \istb{S}[r]{5,7}[b] \istb{C}[a]{8,6}[r] \endist \end{istgame} }}} ==== IGT-2 ==== * Figure 315.1{{{ \begin{istgame} \xdistance{10mm}{40mm} \istroot(0)[initial node]{1} \istb{B}[al] \istb{S}[ar] \endist \xInfoset(0-1)(0-2){2} \xdistance{10mm}{20mm} \istroot(1)(0-1) \istb{B}[al]{2,1} \istb{S}[ar]{0,0} \endist \istroot(2)(0-2) \istb{B}[al]{0,0} \istb{S}[ar]{1,2} \endist \end{istgame} }}} * Figure 316.1{{{ \begin{istgame} \xdistance{10mm}{40mm} \istroot(0)[initial node]{Chance} \istb{High(\frac12)}[al] \istb{Low(\frac12)}[ar] \endist \xdistance{7mm}{14mm} \istroot[-135](H)(0-1){1} \istb{See}[a]{1,-1}[l] \istb{Raise}[l] \endist \istroot[-45](L)(0-2){1} \istb{Raise}[r] \istb{See}[a]{-1,1}[r] \endist \xdistance{10mm}{20mm} \istroot(1)(H-2) \istb{Pass}[al]{1,-1} \istb{Meet}[ar]{2,-1} \endist \istroot(2)(L-1) \istb{Pass}[al]{1,-1} \istb{Meet}[ar]{-2,2} \endist \xInfoset(H-2)(L-1){2} \end{istgame} }}} * Figure 317.1{{{ \begin{istgame} \xdistance{20mm}{40mm} \istroot(0)[initial node]{Challenger} \istb{Ready}[al] \istb{Unready}[r] \istb{Out}[ar]{2,4} \endist \setistactionlabelposition{-.5pt}{7pt}% \xdistance{10mm}{20mm} \istroot(1)(0-1) \istb{Acquiesce}[al]{3,3} \istb{Fight}[ar]{1,1} \endist \istroot(2)(0-2) \istb{Acquiesce}[al]{4,3} \istb{Fight}[ar]{0,2} \endist \xInfoset(0-1)(0-2){Incumbent} \end{istgame} }}} * Figure 321.1{{{ \begin{istgame} \xdistance{20mm}{20mm} \istroot(0)[chance node]{1} \istb{X}[a] \istb{Y}[a] \endist \xdistance{10mm}{20mm} \istroot(1)(0-1)<180>{Chance} \istb{X}[r] \istb{Y}[r] \endist \istroot(2)(0-2)<0>{Chance} \istb{X}[r] \istb{Y}[r] \endist \istroot[north](x1)(1-1) \istb{Y}[br]{1,1} \istb{X}[bl]{3,2} \endist \istroot(y1)(1-2) \istb{X}[al]{3,2} \istb{Y}[ar]{1,1} \endist \istroot(x2)(2-1) \istb{X}[al]{4,3} \istb{Y}[ar]{2,4} \endist \istroot[north](y2)(2-2) \istb{Y}[br]{2,4} \istb{X}[bl]{4,3} \endist \xInfoset(x1)(y2){2} \xInfoset(y1)(x2){2} \xActionLabel(1)(x1){1-\epsilon}[l] \xActionLabel(1)(y1){\epsilon}[l] \xActionLabel(2)(x2){1-\epsilon}[l] \xActionLabel(2)(y2){\epsilon}[l] \end{istgame} }}} * Figure 326.1{{{ \begin{istgame}[line width=.8pt] \xdistance{20mm}{40mm} \istroot(0)[initial node]{1} \istb[black!30]{C}[al] \istb[black!30]{D}[r] \istb{E}[ar]{2,0} \endist \xdistance{10mm}{20mm} \istroot(1)(0-1)<150>{$[\frac23]$} \istb{F}[al] \istb{G}[ar]{0,1} \endist \istroot(2)(0-2)<30>{$[\frac13]$} \istb{F}[al]{1,1} \istb{G}[ar]{2,0} \endist \xInfoset(0-1)(0-2){2} \istroot(3)(1-1)<150>{1} \istb{J}[al]{3,0} \istb[black!30]{K}[ar]{0,3} \endist \end{istgame} }}} * Figure 331.2{{{ \begin{istgame} \xdistance{8mm}{16mm} \istroot[-45](0)[initial node]{1} \istb{D}[r] \istb{C}[a] \endist \istroot(1)(0-1)+10mm..20mm+ \istb{L}[al]{3,3,2} \istb{R}[ar]{0,0,0} \endist \istroot[-45](a)(0-2){2} \istb{d}[r] \istb{c}[a]{1,1,1}[r] \endist \istroot(a1)(a-1)+10mm..20mm+ \istb{L}[al]{4,4,0} \istb{R}[ar]{0,0,1} \endist \xInfoset(1)(a1){3} \end{istgame} }}}