diff --git a/posts/economics/models-of-production.html b/posts/economics/models-of-production.html index bd983fa..e446957 100644 --- a/posts/economics/models-of-production.html +++ b/posts/economics/models-of-production.html @@ -212,7 +212,48 @@

analysis

-

discuss limitations

+

+ Using both mathematical intuition and manipulating the visualization + above, we find that: +

+ +

+ Lastly (and perhaps most importantly), exogenous parameters + \(\bar{s}, \bar{d}\), and \(\bar{A}\) all have immense ramifications + on economic status. For example, comparing the difference in country + \(C_1\)'s output versus \(C_2\)'s using the Solow Model, + we find that a difference in economic performance can only be + explained by these factors: \[ + \frac{Y_1}{Y_2}=\frac{\bar{A_1}}{\bar{A_2}}(\frac{\bar{s_1}}{\bar{s_2}})^\frac{\alpha}{1-\alpha} + \] +

+

+ We see that TFP is more important in explaining the differences in + per capital output + (\(\frac{1}{1-\alpha}>\frac{\alpha}{1-\alpha},\alpha\in[0,1)\)). + However, the Solow Model does not give any insight in to how to + alter what it considers to be the most important predictor of + output. +

romer

romer-solow

diff --git a/scripts/posts/models-of-production.js b/scripts/posts/models-of-production.js index c8c60f6..72df53f 100644 --- a/scripts/posts/models-of-production.js +++ b/scripts/posts/models-of-production.js @@ -163,6 +163,24 @@ function drawSolowGraph() { .attr("stroke", "black") .attr("stroke-width", 1) .attr("stroke-dasharray", "5,5"); + + const y_star = solowOutput(k_star); + svg + .append("foreignObject") + .attr("width", "20em") + .attr("height", "2em") + .attr("x", x(k_star) - 150) + .attr("y", y(y_star) - 50) + .append("xhtml:body") + .style("font-size", "0.75em") + .html(`
`); + katex.render( + `(K^*,Y^*)=(${k_star.toFixed(0)},${y_star.toFixed(0)})`, + document.querySelector(".solow-visualization-eq"), + { + throwOnError: false, + }, + ); } document.addEventListener("DOMContentLoaded", function () { diff --git a/styles/post.css b/styles/post.css index abf9055..06c8607 100644 --- a/styles/post.css +++ b/styles/post.css @@ -13,6 +13,14 @@ header { justify-content: space-between; } +ul { + list-style: unset; +} + +li { + margin: 5px 0; +} + .main { display: flex; justify-content: center;