Margins and Thinking at me Margin What does it mean to think at the margin Another application of marginal
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Prices and What is Economics?
On a hot day, that first blast of cold air as you step into an air conditioned store gives you a tremendous boost. Each succeeding few minutes, though, may give you less pleasure. Economists say your marginal pleasure or marginal utility–your marginal benefit– diminishes as you experience more. The word “marginal” in common speech or layman’s use sometimes refers to an iffy project. For example, suppose you make sneakers and you have a company division that makes gold-colored sneakers with specialty soles and that division has turned out not to be the big money- maker you hoped. Or maybe that division is breaking even but would be the first division you would cut unless it starts to show more signs of promise. You might refer to that division as being marginal. That usage of the word “marginal” is not what economists mean by the term, although you might be able to see how they are related. The layman’s usage means at the edge or borderline workable. The term “marginal cost” is not the same as opportunity cost. Opportunity cost is from the perspective of a buyer, while marginal cost is from the perspective of a seller or producer. That is, opportunity cost refers to what you have to sacrifice–at the margin–as a buyer because when you buy one thing you can’t buy something else. Marginal cost refers to what a seller or producer has to sacrifice in order to sell or produce one more item. If you enjoy math, you might find it helpful to see that in economics the word “marginal” means the derivative or slope of a curve. It’s the additional cost or benefit that derives from a very small change. For example, if you increase your saving by $1, what would be the marginal benefit? It would be some small number–say, an additional 5 cents in interest you might gain, plus some psychological marginal benefit–say, something you value at 2 cents–in terms of additional feelings of security. The marginal benefit would thus be the sum of the 5 cents in interest plus the 2 cents in feelings of additional security, or $0.07 per additional dollar saved. If you plot a curve between the benefits and costs, the slope is .07. That’s the marginal benefit. The marginal cost is the inverse. Thinking on the margin or marginal thinking means considering how much you value an addition of something. You ignore the sunk costs of what’s already going to happen, and weigh up the costs and benefits of adding in something extra (extra work, money, bananas etc.). Explanation of marginal analysis If you have no bananas, and your friend kindly gives you theirs, it could be so valuable to you that it might mean the difference between life and death. But if you have a million bananas (a banana-aire?), that gift is worth much less to you (presuming you have a convex utility function for bananas). That extra banana in both cases — even if it were the exact same banana — is a banana on the margin, and its value varies massively between the scenarios. As a perhaps more realistic example, a charity might be the most effective in the world on average, but if it’s just fundraised a lot, extra (marginal) donations might be going into their less effective programs. Say you’re thinking about tending to your banana farm (how else do you get a million bananas?), you want to know whether you should work more to produce more bananas. You might have already invested a lot in making your farm more efficient, meaning that extra resources won’t do as much to improve productivity. This is because, in this case, there are diminishing marginal returns to investment (though you can also have increasing returns, like through economies of scale, advantages of being large in scale). Another application of marginal thinking is the profitability of software companies — their profits at the margin are often very high. They have a lot of fixed costs (to develop the software in the first place they need to pay a lot of engineers, rent buildings etc.), but it costs the company little to download or use a program from the internet. Because marginal investments don’t yield as much benefits to you as the first few, we should do the the projects with the highest initial returns first, what’s called ‘pick the low-hanging fruit’. Back then, Singaporeans (including me!) would do anything to sink their teeth into donuts, like joining a long snaking queue and standing in the queue for many hours. However, as time went by and as I ate more and more donuts, the novelty begin to wear off and I was put off by the smell of donuts! And I suspect the same for most people as the queues outside donut shops shrank. I reasoned that marginal utility for a donut was initially very high- high enough to justify the marginal costs of getting a donut (e.g. cost of a donut and waiting time which could be better spent). But as one consumes a greater quantity of donuts, marginal benefit per donut falls below the marginal costs of gaining one donut and this no longer justifies consuming additional donuts. Try describing a scenario, an example that uses the marginal principle! You will be surprised by how it is used to optimize decision making in our daily lives, or even government policies. While you’re at it, perhaps you can explain why thinking at the margin is beneficial (as opposed to other policies) and the possible difficulties of incorporating marginal principle in decision making. Marginal principle. I always thought that it was the basic principle that everyone uses to do things. Well, I do have a few scenarios. Personally, I feel that Music is one example that everyone can associate with. I believe we all have the experience of ‘falling in love’ with a certain song that you have heard somewhere in a CD shop. Setting aside all-time hit songs, I believe all typical trendy songs have a ‘lifetime’ of its own. It’s pretty habitual for teenagers to get caught up with the passing trend and I myself am not ashamed that I am one of these people who buys that CD in the shop just because it is nice the first time I hear it. [First impressions are sure important =)] Other teenagers (including me as well) get caught up in the hype even when they didn’t even hear the music for themselves; they just like it cause their friend say so. Hence, at this point in time, the marginal benefit, e.g. pleasure of hearing the music, acknowledgment from peers that you are ‘hippy’ etc, will outweigh the costs of going down to the CD shop and buy that CD. Happily, you rip the song into your Mp3 player and classify it under ‘Favorites’. Then, diminishing marginal utility sets in. The more frequent you hear it, the less pleasure you get because people tend to grow sick of certain things that is repeated over and over (a social phenomenon, don’t ask me why). But, you still feel that it’s worth listening to it and at this point, marginal benefit = marginal cost, hence, you still keep it under ‘Favorites’. Lastly, you hear it so often, you can even recite the lyrics backwards, and the song gets irritating. Marginal cost > marginal benefit and the song goes off your ‘Favorites’ list. And then the cycle repeats as the music industry churns out more trendy songs. A more significant example would be the use of legal drugs, like morphine or medical marijuana, which has useful initial effects like pain-killing and little side effects on a short term basis (at this point, marginal benefits > marginal costs). Then the side effects get worse due to long term consumption like addiction and the effects of pain-killing is less useful in treatment (marginal benefits < marginal costs), a.k.a diminishing marginal utility. Also, since these drugs are sometimes sold in pharmacies and are easily accessible in certain countries, drug abuse may occur, which leads to the banning of these drugs. Then medical groups retaliate and fight for the use of such drugs in medical treatments. Governments then struggle to decide, whether banning the use of these drugs should be carried out since they have a hard time measuring the marginal benefits and marginal costs; whether drug abuse should weigh more, or their use in medical treatment weighs more. It is hence observed that although marginal principle does explain why we do the things we do, it is hard apply it in everything we do. The primary reason is that we have different weights which we use to assign to different things, like my example on the medical use of drugs vs drug abuse. I like Benjamin’s take on the marginal principle. Music and computer games were the first two examples that jumped into my mind. Since Benjamin has thoroughtly explained the marginal utility/cost of popular music, I will try to analyse game-playing using the marginal principle. Computer games are deemed by many teenagers and young adults as the most exciting form of entertainment . A new game, with new characters, or astonishing sound/visual effects, can mersmerise gamers easily. When beginning to play a game, one is likely to be attracted to the game, deriving fun and enjoyment from playing the game via keyboard and mouse control. The marginal utility is very significant at this stage. The players tend to view it more beneficial to spend time playing the game, compared to, say, sleeping. However, when the gamer has played the game for a very long time and has finished the campaign in game, his interest in this game may diminish as the orignial thrill wears off. Furthermore, as nothing is left for further conquest, the sense of competition also decreases. As a result, the gamer gains less and less marginal utility as he continue playing the game. At the same time, “side-effects” of computer gaming, for example, weakening eaysight, lack of sleep and negligence of other meaningful activities, start to take their toll on the gamer. For every one more hour of gaming, the gamer experiences an increasing resistence to game- playing. this is where the increasing marginal cost comes in. As such, the number of hours of gaming should be kept at the optimum level to ensure the greatest possible benefit to the gamer. But one problem arises from this-the marginal untility and cost of computer gaming are not entirely measurable. Thus the perceived marginal utility, such as the “coolness” of prolonged gaming, dictates, and sometimes misleads the gamer’s choice of the number of hours spent on gaming. If you think about it, this can actually be applied to this competition (proving that it too, is not above the economics). To some, the marginal net benefit from the first post is relatively high, due to the novelty and the sheer fun in seeing one’s name in nice block letters online. As the holiday homework piles up and the block tests draw close, the costs of spending time and energy posting instead of mugging start to creep up. For others, the marginal net benefit from the latter posts increase, perhaps through the intellectual exchange or just the pleasure from being able to comment (intelligently) on a variety of issues. As Benjamin said, ‘Everything in this world has a trade off’. To those who are really interested, however, the trade-off is relatively smaller. Hence the net number of (intelligent) posts by said team will be higher. In other words, this is a selection mechanism to sieve out the teams that are more enthusiastic. The concept of thinking at the margin is only useful when the value of each individual unit is not constant. In this context, the n+1th post is worth more or less to me than the nth post. This is made true by the interactions with the other commentors or by temporal factors. The problem, however, is that this assumes that your variable is a continuous one, as opposed to a discrete one. (Statistics, anyone?) Let’s say my maximum net benefit is obtained by making 10.5 posts. But I won’t be able to attain that, for the simple reason that there are no half posts. This is an even worse problem for analysing problems such as purchasing a car. Most of the examples in the comments thus far have centered around the concept of diminishing marginal utility, which is in essence a look at the psychological motivations behind consumer decisions. To open up a further area of discussion, I’d like to look at the related idea of marginal returns to factor inputs, which examines technical limitations in the short run of applying increasing amounts of a variable factor to a constant level of fixed factor. It’s easiest to discuss this with a diagram so I’ll be making reference to this image of a production function (http://www.cs- territories.com/cyro//asa2_economics/unit4/images/mppandmrpcurves. png) as I go along. Simplifying the scenario to just two factor inputs, labour and capital, the graph shows the average and marginal productivity of labour with respect to a fixed amount of capital in the short run. Not to belabour the point too much, I just want to draw attention to the MPP curve in particular. Before the number of workers labelled L is reached, the firm actually experiences increasing marginal returns to labour, as there is insufficient labour to fully utilize present capital. Only after point L does marginal returns begin to diminish, as the marginal productivity of the labour is limited by the fixed amount of capital. A significant point to note IMO is that in any discussion of diminishing marginal returns/utility, time period is always an issue. In the long run, diminishing marginal returns to labour or capital is not an issue, since in theory any combination of labour and capital can be used to achieve a desired level of output (though there are diminishing marginal returns to technology I suppose). Similarly, all the examples stated are valid given a relatively short run time period (e.g. number of hours spent gaming in a day, or number of times a piece of music is played over the course of a week). If you listened to the piece of music the same number of times but over a more extended time period, diminishing marginal utility would set in less quickly – and in theory, given a long enough time period, DMR/DMU wouldn’t set in at all. Download 0.59 Mb. Do'stlaringiz bilan baham: |
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