I am trying to draw the following graph in latex (using xetex as the compiler) with Tikz/pgfplots. IC_1, IC_2 and IC_3 are strictly convex. OC_a and OC_b are strictly concave. IC_1 is tangent to OC_a and OC_b at X^a and X^b respectively. IC_2 and IC_3 are both tangent to OC_a at X^a.
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Welcome on TeX.SE. It's kinda customary here to show that you've been looking for an answer and provide a Minimal Working Example so that you can help us to help you. I see the topics here is microeconomics. take a look at tzplot. You'll find examples of indifference curves with tangents. pages : 27-29-35...– JeTMar 24, 2022 at 20:06
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Will keep in mind! Thanks I was not aware of this package! Looks super useful.– mzecMar 24, 2022 at 20:58
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1 Answer
Using the tzplot
package:
\documentclass[tikz,border=5mm]{standalone}
\usepackage{tzplot}[scale=.6]
\begin{document}
\begin{tikzpicture}[font=\scriptsize]
% \tzhelplines(10,10)
\tzaxes*(10,10){$x_1$}{$x_2$}[l]
\tzto[blue,bend right,thick]"IC1"(1,8)(9,2){$IC^1$}[r]
\tzvXpointat*[red]{IC1}{3}(Xa){$x^a$}[[red]45]
\tzvXpointat*[teal]{IC1}{6}(Xb){$x^b$}[[teal]20]
\tzproj[red](Xa){$x_1^a$}{$x_2^a$}
\tzproj[teal](Xb){$x_1^b$}{$x_2^b$}
\tzcoors($(Xa)+(-2.5,1.5)$)(OCa1)($(Xa)+(2,-3.5)$)(OCa2);
\tzplotcurve[red,thick](OCa1){$OC_a$}[-90](Xa)(OCa2);
\tzcoors($(Xb)+(-5,1.2)$)(OCb1)($(Xb)+(3,-2)$)(OCb2);
\tzplotcurve[teal,thick](OCb1){$OC_b$}[90](Xb)(OCb2);
\tzcoors($(Xa)+(-1.5,3)$)(IC2L)($(Xa)+(3,-1.5)$)(IC2R);
\tzplotcurve[blue,thick,dashed](IC2L)(Xa)(IC2R){$IC^2$}[r];
\tzcoors($(Xa)+(-1.2,3)$)(IC3L)($(Xa)+(3,-1.2)$)(IC3R);
\tzplotcurve[blue,thick,dotted](IC3L)(Xa)(IC3R){$IC^3$}[45];
\end{tikzpicture}
\end{document}
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Thanks so much InSung! really appreciate it. Also got to know about your package. Will definitely check it out in more details. I had to make one small edit, else for some reason, latex was giving me an error and not compiling. In the 5th last line of the code, instead of [r] I gave it a positional argument value like [15] and it compiled.– mzecMar 24, 2022 at 21:01
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1@InSungCho I'm updating my couses in microeconomics with your package. Plenty of cases to follow :)– JeTMar 24, 2022 at 21:11
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