    \begin{axis}[width=4.5in,height=2.5in,
        title=First Entrant's Value Function,
        name=v1,
        ylabel={},
        axis x line=bottom,
        every outer x axis line/.append style={-,color=gray,line width=0.75pt},
        axis y line=left,
        every outer y axis line/.append style={-,color=gray,line width=0.75pt},
        xtick={\chat,\ccheck},
        xticklabels={},
        ytick={0,\phione,\ymax},
        yticklabels={$0$,\makebox[0pt][r]{$\varphi(1)=\phione$},$\pgfmathprintnumber{\ymax}$},
        major tick length=2.5mm,
        every tick/.append style={line width=0.75pt},
        ymin=0,
        ymax=\ymax,
        scaled ticks=false,
        scaled ticks=false,
        /pgf/number format/precision=2,
        /pgf/number format/set thousands separator={}]
        %Legend

        %Description of the entry rule
        \node[color=black] at (axis cs:0.65,6) {Enter if $\ln C\in \cal{A}\cup \cal{B}$};
        %Cost of entry
        \draw[color=gray,line width=0.75pt,dashed] (axis cs:\chat,\phione) -- (axis cs:\ccheck,\phione);
        %The two value function branches.
        \addplot[color=black,mark=square*,only marks,mark size=0.05mm] table[x=C,y=v11,col sep=comma]{equilibriumWithoutThresholdsV11.csv};
        \addplot[color=black!50,mark=square*,only marks,mark size=0.05mm] table[x=C,y=v12,col sep=comma]{equilibriumWithoutThresholdsV12.csv};

        %Legend
        %\draw[color=black,line width=0.75pt] (axis cs:-1,35) -- (axis cs: -0.95,39) ++(axis cs:0,-2) -- (axis cs:-0.9,40);% node[very near end]{Monopoly Branch} (-0.8,36);
        \draw[color=black,line width=0.75pt] (axis cs: -1.3,35) -- (axis cs: -1.05,39) (axis cs: -1.05,36)--(axis cs:-0.925,38) (axis cs: -0.5,38) node{Monopoly Branch};
         \draw[color=black!50,line width=0.75pt] (axis cs: -1.3,30) -- (axis cs: -1.05,34) (axis cs: -1.05,31)--(axis cs:-0.925,33) (axis cs: -0.5,33) node[color=black]{Duopoly Branch};
        %Mark locations for drawing the entry set (outside of axis environment to avoid clipping.)
        \path(axis cs:\chat,0) coordinate (Chat);
        \path(axis cs:\ccheck,0) coordinate (Ccheck);
        \path(axis cs:\Alow,0) coordinate (Alow);
        \path(axis cs:\Ahigh,0) coordinate (Ahigh);
        \path(axis cs:\Clow,0) coordinate (Clow);
        \path(axis cs:\Chigh,0) coordinate (Chigh);

    \end{axis}
    %Draw the entry set.
    \draw[color=black!20!white,line width=10pt] (Alow) -- node[midway,above,color=black]{$\cal A$} (Ahigh);
    \draw[color=black!20!white,line width=10pt] (Clow) -- node[midway,above,color=black]{$\cal B$} (Chigh);
    %Redraw the axis
    \draw[color=gray,line width=0.75pt](Alow)--(Chigh);
    %Draw a tick mark at Ccheck
    \draw[color=gray,line width=0.75pt](Chigh) ++(0,1.25mm) -- ++ (0,-2.5mm) ++ (0,-3mm) node[color=black]{\makebox[0pt][r]{$\ln \check C = \ccheck$}};
    %Draw a tick mark at Chat
    \draw[color=gray,line width=0.75pt] (Chat) ++ (0,1.25mm) -- ++ (0,-2.5mm) ++ (0,-2.5mm)
    node[color=black]{\makebox[0pt][l]{$\ln \hat C = \chat$}};
    %Draw a tick mark at Ahigh
    \draw[color=gray,line width=0.75pt] (Ahigh) ++(0,1.25mm) -- ++ (0,-2.5mm) ++(0,-3mm) node[color=black]{$\pgfmathprintnumber{\Ahigh}$};


    \path(v1.origin) ++(0,-2.5in) coordinate (v2 plot position);
    \begin{axis}[width=4.5in,height=2.5in,
        title=Second Entrant's Value Function,
        name=v2,
        at = {(v2 plot position)},
        anchor={origin},
        ylabel={},
        axis x line=bottom,
        every outer x axis line/.append style={-,color=gray,line width=0.75pt},
        axis y line=left,
        every outer y axis line/.append style={-,color=gray,line width=0.75pt},
        xtick={\chat,\cunderbartwo,\coverbartwo,\ccheck},
        xticklabels={\makebox[0pt][r]{},\raisebox{-2.8mm}{$\ln \underline C_2 = \pgfmathprintnumber{\cunderbartwo}$},\makebox[0pt][c]{$\ln \overline C_2 = \pgfmathprintnumber{\coverbartwo}$},\makebox[0pt][r]{}},
        ytick={0,\phitwo,\ymax},
        yticklabels={$0$,\makebox[0pt][r]{$\varphi(2)=\phitwo$},$\pgfmathprintnumber{\ymax}$},
        major tick length=2.5mm,
        every tick/.append style={line width=0.75pt},
        ymin=0,
        ymax=\ymax,
        scaled ticks=false,
        /pgf/number format/precision=2,
        /pgf/number format/set thousands separator={}]
        \draw[color=gray,line width=0.75pt,dashed] (axis cs:\chat,\phitwo) -- (axis cs:\ccheck,\phitwo);
        \addplot[color=black,line width=1pt] table[x=C,y=v2,col sep=comma]{equilibriumWithoutThresholdsV2.csv};

    \end{axis}

