{"id":336,"date":"2016-02-26T23:30:04","date_gmt":"2016-02-27T04:30:04","guid":{"rendered":"http:\/\/commoncents.blogwyrm.com\/?p=336"},"modified":"2016-02-25T22:40:23","modified_gmt":"2016-02-26T03:40:23","slug":"tinkering-with-equilibrium","status":"publish","type":"post","link":"https:\/\/commoncents.blogwyrm.com\/?p=336","title":{"rendered":"Tinkering with Equilibrium"},"content":{"rendered":"<p>The genesis of this week's column is mostly based on chance; a chance visit, a chance purchase, and a chance reading.\u00a0 Nonetheless, the end result is a nice example of how government interventions in a market can look good on the surface but have a less attractive side underneath.<\/p>\n<p>Let\u2019s start with the chance visit.\u00a0 Recently, I had an occasion to stop off at a used bookstore near a college campus.\u00a0 The basic function of this establishment is to buy back textbooks at a cheap price, resell the products back to others at the going rate for used textbooks, and to store the unwanted product as tastes and approaches in teaching and the professors who teach them change.\u00a0 The fact that the resell price is significantly higher than the buy-back price seems to irritate the bulk of the clientele (judged by my casual viewing of the interactions at the register).\u00a0 The reason for this cost differential \u2013 that this particular book store needs to pay for the storage of the books, the labor of the various people who catalog and handle the product, as well as the rent and upkeep of the shop \u2013 slips by the average consumer.\u00a0 And, although this column is not explicitly about this mismatch of expectations, the basic theme of the unseen cost is.\u00a0 Looking back in hind sight, these preliminary observations of mine were perhaps a foretaste of what fate had in store.<\/p>\n<p>In any event, I began to wander about the store; an adventure in and of itself considering the vast number of abandoned titles piled precariously all over the floor.\u00a0 Training in the high hurdles would definitely be an advantage when browsing the inventory.\u00a0 Turning a corner, I came across the store\u2019s collection of Schaum\u2019s outlines.\u00a0 Overall, I am a fan of these do-it-yourself study guides.\u00a0 Not so much due to their teaching style, which is often minimalistic and confusing, but rather the vast number of worked problems that one can immediately dig into.\u00a0 The effect they produce is a lot like finding a bunch of how-to videos on YouTube with the convenience of the at-your-own pacing that books afford.\u00a0 Glancing at the shelf, my eye caught the title <em>Microeconomic Theory, 3<sup>rd<\/sup> Edition<\/em>, by Dominick Salvatore of Fordham University and, almost on a whim, I decided to purchase it for a mere $5 dollars (which goes to show that one can get a bargain if one is willing to settle for yesterday\u2019s textbooks and study guides).<\/p>\n<p>In odd moments, here and there, I began to dip into the outline and amuse myself with some of the questions and solved answers.\u00a0\u00a0 Early on in the book, Salvatore goes to some effort to set the scope of the study to be strictly microeconomics.\u00a0 Interconnections of one market to the next are to be kept to a minimum.\u00a0 So I can\u2019t blame him for what I found shortly thereafter but I thought it made for a good \u2018teachable moment\u2019 about ignored or unseen costs.<\/p>\n<p>The scenario he explores is clearly contrived for pedagogical purposes, but I reason that if it is sufficiently illustrative to go into a Schaum\u2019s outline, it is also sufficiently realistic to serve as a valuable thought experiment.\u00a0 In this scenario, the micro-portion of the economy that is being examined consists of 10,000 consumers and 1,000 producers of a particular product, which he calls \u2018X\u2019.\u00a0 For simplicity, each of the consumers possess the same demand curve given by<\/p>\n<p><p style='text-align:center;'><span class='MathJax_Preview'><img src='https:\/\/commoncents.blogwyrm.com\/wp-content\/plugins\/latex\/cache\/tex_21041cccbad3c497b1cd64a1c5908699.gif' style='vertical-align: middle; border: none;' class='tex' alt=\"\" \/><\/span><script type='math\/tex;  mode=display'><\/script><\/p><\/p>\n<p>where <span class='MathJax_Preview'><img src='https:\/\/commoncents.blogwyrm.com\/wp-content\/plugins\/latex\/cache\/tex_1e651d17493a97ec8f81fbb687dafc01.gif' style='vertical-align: middle; border: none; ' class='tex' alt=\"\" \/><\/span><script type='math\/tex'><\/script> is the quantity demanded of for a given price <span class='MathJax_Preview'><img src='https:\/\/commoncents.blogwyrm.com\/wp-content\/plugins\/latex\/cache\/tex_cead7aef95f62285d46100003acd66ee.gif' style='vertical-align: middle; border: none; ' class='tex' alt=\"\" \/><\/span><script type='math\/tex'><\/script> that they must pay.\u00a0 Likewise, each of the producers follows a supply curve given by<\/p>\n<p><p style='text-align:center;'><span class='MathJax_Preview'><img src='https:\/\/commoncents.blogwyrm.com\/wp-content\/plugins\/latex\/cache\/tex_8fb6f1e005a83a371e8136383f92b46e.gif' style='vertical-align: middle; border: none;' class='tex' alt=\"\" \/><\/span><script type='math\/tex;  mode=display'><\/script><\/p><\/p>\n<p>where <span class='MathJax_Preview'><img src='https:\/\/commoncents.blogwyrm.com\/wp-content\/plugins\/latex\/cache\/tex_d9d6cdf26d116c871726df7ff789d07d.gif' style='vertical-align: middle; border: none; ' class='tex' alt=\"\" \/><\/span><script type='math\/tex'><\/script>\u00a0is the quantity they are willing to supply if they can charge price <span class='MathJax_Preview'><img src='https:\/\/commoncents.blogwyrm.com\/wp-content\/plugins\/latex\/cache\/tex_cead7aef95f62285d46100003acd66ee.gif' style='vertical-align: middle; border: none; ' class='tex' alt=\"\" \/><\/span><script type='math\/tex'><\/script>.\u00a0 The prices that the consumer pays and that the producer demands equal each other when the market is in equilibrium.\u00a0 The following figure shows the demand and supply curves for this market.<\/p>\n<p><a href=\"https:\/\/commoncents.blogwyrm.com\/wp-content\/uploads\/2016\/02\/Before-Government-Intervention.png\" rel=\"attachment wp-att-338\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-338\" src=\"https:\/\/commoncents.blogwyrm.com\/wp-content\/uploads\/2016\/02\/Before-Government-Intervention.png\" alt=\"Before Government Intervention\" width=\"600\" height=\"400\" srcset=\"https:\/\/commoncents.blogwyrm.com\/wp-content\/uploads\/2016\/02\/Before-Government-Intervention.png 600w, https:\/\/commoncents.blogwyrm.com\/wp-content\/uploads\/2016\/02\/Before-Government-Intervention-300x200.png 300w, https:\/\/commoncents.blogwyrm.com\/wp-content\/uploads\/2016\/02\/Before-Government-Intervention-320x213.png 320w, https:\/\/commoncents.blogwyrm.com\/wp-content\/uploads\/2016\/02\/Before-Government-Intervention-146x97.png 146w, https:\/\/commoncents.blogwyrm.com\/wp-content\/uploads\/2016\/02\/Before-Government-Intervention-250x167.png 250w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><\/p>\n<p>From the figure, the equilibrium point, where the two curves cross, falls at $3 and 60,000 units produced.\u00a0 We can confirm this result by solving the equation<\/p>\n<p><p style='text-align:center;'><span class='MathJax_Preview'><img src='https:\/\/commoncents.blogwyrm.com\/wp-content\/plugins\/latex\/cache\/tex_0f46f072f414b485dc85650c3772e065.gif' style='vertical-align: middle; border: none;' class='tex' alt=\"\" \/><\/span><script type='math\/tex;  mode=display'><\/script><\/p><\/p>\n<p>where <span class='MathJax_Preview'><img src='https:\/\/commoncents.blogwyrm.com\/wp-content\/plugins\/latex\/cache\/tex_b4f17099b8d70eef3dad8a72ee06db53.gif' style='vertical-align: middle; border: none; ' class='tex' alt=\"\" \/><\/span><script type='math\/tex'><\/script> and <span class='MathJax_Preview'><img src='https:\/\/commoncents.blogwyrm.com\/wp-content\/plugins\/latex\/cache\/tex_027e6de6d6f65ac6a24c818d680b5c9b.gif' style='vertical-align: middle; border: none; ' class='tex' alt=\"\" \/><\/span><script type='math\/tex'><\/script>.<\/p>\n<p>Salvatore then directs the reader to consider the case where the government decides to intervene in this market by providing a subsidy to the producer of $1 per unit produced. He asks:<\/p>\n<div class=\"myQuoteDiv\">(a) What effect does this have on the equilibrium price and the quantity of commodity X?\u00a0 (b) Do consumers of commodity X reap any benefit from this?<\/div>\n<p>Part (a) is a bit tricky to solve in that one must first decide what is exactly meant by a $1-dollar subsidy.\u00a0 In short, it means that the producer now perceives that he can charge a dollar higher than he could without the government intervention.\u00a0 Ignoring for the moment that the new equilibrium will move, the producer gets $4 when a consumer pays him $3 since the government is stepping in with an additional $1.\u00a0 As a result, the producer\u2019s new supply curve is<\/p>\n<p><p style='text-align:center;'><span class='MathJax_Preview'><img src='https:\/\/commoncents.blogwyrm.com\/wp-content\/plugins\/latex\/cache\/tex_c66de57bc5d081cb28ed74e8d389d105.gif' style='vertical-align: middle; border: none;' class='tex' alt=\"\" \/><\/span><script type='math\/tex;  mode=display'><\/script><\/p><\/p>\n<p>Functionally, this looks as if the producer\u2019s supply curve has been shifted down by $1 as seen in the figure below (the new, shifted curve is labeled \u2018Government\u2019).<\/p>\n<p><a href=\"https:\/\/commoncents.blogwyrm.com\/wp-content\/uploads\/2016\/02\/After-Government-Intervention.png\" rel=\"attachment wp-att-339\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-339\" src=\"https:\/\/commoncents.blogwyrm.com\/wp-content\/uploads\/2016\/02\/After-Government-Intervention.png\" alt=\"After Government Intervention\" width=\"600\" height=\"400\" srcset=\"https:\/\/commoncents.blogwyrm.com\/wp-content\/uploads\/2016\/02\/After-Government-Intervention.png 600w, https:\/\/commoncents.blogwyrm.com\/wp-content\/uploads\/2016\/02\/After-Government-Intervention-300x200.png 300w, https:\/\/commoncents.blogwyrm.com\/wp-content\/uploads\/2016\/02\/After-Government-Intervention-320x213.png 320w, https:\/\/commoncents.blogwyrm.com\/wp-content\/uploads\/2016\/02\/After-Government-Intervention-146x97.png 146w, https:\/\/commoncents.blogwyrm.com\/wp-content\/uploads\/2016\/02\/After-Government-Intervention-250x167.png 250w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><\/p>\n<p>The new equilibrium is solved as before, and either direct inspection of the graph or algebraically solving<\/p>\n<p><p style='text-align:center;'><span class='MathJax_Preview'><img src='https:\/\/commoncents.blogwyrm.com\/wp-content\/plugins\/latex\/cache\/tex_3e32fcdb3a7c5a3f2052e90ec833e6a1.gif' style='vertical-align: middle; border: none;' class='tex' alt=\"\" \/><\/span><script type='math\/tex;  mode=display'><\/script><\/p><\/p>\n<p>results in the new equilibrium of 70,000 units produced at $2.50 per unit.\u00a0 Salvatore then points the student to the conclusion that this government intervention has benefitted the consumer since price has fallen by 50 cents per unit.\u00a0 By analogy, this analysis also suggests that the producer is better off in that more units have been produced.<\/p>\n<p>And this is where I got perturbed by the strict adherence to microeconomics.\u00a0 It is true that this market seems to have been helped but there are unseen costs that at a minimum could have to be discussed even if the implications to other markets were avoided.<\/p>\n<p>Specifically, before the government intervention, a total of $180,000 dollars moved from consumer to producer in this market (60,000 units at $3\/unit).\u00a0 After the government intervention, a total of $245,000 dollars moved to the producers in this market.\u00a0 It is true that the 10,000 consumers only shouldered $175,000 of that cost but it is wrong to ignore that the producers actually received $70,000 in government subsidies.<\/p>\n<p>Where did that additional $70k come from?\u00a0 It is easy and tempting to say that it comes from the government and to stop there, but that misses the point.\u00a0 Where did the government actually get that money?\u00a0 Well it could have printed it or it taxed it.\u00a0 If it printed it, the cost of that action eventually comes back in the form of inflation, which devalues the consumers buying power, resulting in a new set of supply and demand curves.\u00a0 More likely, it taxed it, which means it took money from consumers, some who weren\u2019t that market, and injected it into this market.\u00a0 It made some consumers reap a benefit at the expense of others suffering a loss.<\/p>\n<p>Of course, this scenario is contrived but the logic and the lesson is not.\u00a0 The point here is that it is easy to see the direct costs and to ignore the hidden or indirect costs.\u00a0 As long as a citizen doesn\u2019t dig too deeply, he probably never knows when he is being robbed blind.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The genesis of this week's column is mostly based on chance; a chance visit, a chance purchase, and a chance reading.\u00a0 Nonetheless, the end result is a nice example of... <a class=\"read-more-button\" href=\"https:\/\/commoncents.blogwyrm.com\/?p=336\">Read more &gt;<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-336","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/commoncents.blogwyrm.com\/index.php?rest_route=\/wp\/v2\/posts\/336","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/commoncents.blogwyrm.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/commoncents.blogwyrm.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/commoncents.blogwyrm.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/commoncents.blogwyrm.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=336"}],"version-history":[{"count":6,"href":"https:\/\/commoncents.blogwyrm.com\/index.php?rest_route=\/wp\/v2\/posts\/336\/revisions"}],"predecessor-version":[{"id":346,"href":"https:\/\/commoncents.blogwyrm.com\/index.php?rest_route=\/wp\/v2\/posts\/336\/revisions\/346"}],"wp:attachment":[{"href":"https:\/\/commoncents.blogwyrm.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=336"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/commoncents.blogwyrm.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=336"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/commoncents.blogwyrm.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=336"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}