Supply and demand

For other uses, see Supply and demand (disambiguation).

The price P of a product is determined by a balance between production at each price (supply S) and the desires of those with purchasing power at each price (demand D). The graph depicts an increase in demand from D₁ to D₂, along with a consequent increase in price and quantity Q sold of the product.

The supply and demand model describes the interaction in the market for a certain good between producers and consumers, in relation to the price and sales of the good. It is the fundamental model of microeconomics, and is used to explain a variety of microeconomic scenarios, as well as as a building block for many other economic models and theories. It was originally described by Antoine Augustin Cournot, and was popularized by Alfred Marshall.

The model predicts that in a competitive free market, price will function to equalize the quantity demanded by consumers and the quantity supplied by producers, resulting in an economic equilibrium.

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Fundamental theory

The intersection of supply and demand determines equilibrium price and quantity.

The model asserts that in a free market, the amount of a product supplied by the producer and the amount demanded on the consumer are dependent on the market price of the product. The law of supply states that supply is directly proportional to price; the higher the price of the product, the more the producer will supply. The law of demand states that demand is inversely proportional to price; the higher the price of the product, the less the consumer will demand. Thus, supply and demand both vary with price.

The law of supply and demand states that the market price of a good is the intersection of consumer demand and producer supply. If the price for a good is at a low level where consumers demand more of the good than producers are prepared to supply, there will be a shortage of the good, and consumers will be willing to pay more for it. The producers will increase the price until it reaches the level where consumers would not buy any more if the price was increased. Conversely, if the price for a good is at a high level where the suppliers would like to produce more than the consumers will buy, the producers will be willing to lower the price. The price will fall until it reaches the level where consumers would be willing to pay more for the good.

This point to which prices will move towards is the point of economic equilibrium, where the quantity supplied is equal to the quantity demanded — producers are prepared to sell exactly the same quantity of goods as the consumers want to buy.

Supply schedule

The supply schedule is the relationship between the quantity of goods supplied by the producers of a good and the current market price. It is graphically represented by the supply curve. Since supply is generally directly proportional to price, supply curves are almost always upwards-sloping. Also, the slope of a supply curve is usually increasingly upwards-sloping (i.e., the curve is a convex function) due of the law of diminishing marginal returns.

The supply curve for a given producer is equal to the producer's marginal cost curve because of the equimarginal principle. Thus, the supply curve for the entire market can be expressed as the sum of the marginal cost curves of the individual producers.

Occasionally, supply curves do not slope upwards. A well known example is the backward bending supply curve of labour. Generally, as a worker's wage increases, he is willing to supply a greater amount of labor (working more hours), since the higher wage increases the marginal utility of working (and increases the opportunity cost of not working). But when the wage reaches an extremely high amount, the laborer may experience the law of diminishing marginal utility in relation to his salary. The large amount of money he is making will make further money of little value to him. Thus, he will work less and less as the wage increases, choosing instead to spend his time in leisure. The backwards-bending supply curve has also been observed in non-labor markets, including the market for oil: after the skyrocketing price of oil caused by the 1973 oil crisis, many oil-exporting countries decreased their production of oil.

Another example of a nontraditional supply curve is the supply curve for utility production companies. Because a large portion of their total costs are in the form of fixed costs, the marginal cost (supply curve) for these firms is often depicted as a constant.

Another postulated variant of a supply curve is that for child labor. Supply will increase as wages increase, but at a certain point a child's parents will pull the child from the child labor force due to cultural pressures and a desire to concentrate on education. The supply will not increase as the wage increases, up to a point where the wage is high enough to offset these concerns. For a normal demand curve, this can result in two stable equilibrium points - a high wage and a low wage equilibrium point.

Demand schedule

Demand is economic want backed up by purchasing power. The demand schedule, depicted graphically as the demand curve, represents the amount of a good that buyers are willing and able to purchase at various prices, assuming all other non-price factors remain the same. The demand curve is almost always downwards-sloping, meaning that as price increases, consumers will buy less of a good.

Just as the supply curves are equal to marginal cost curves, demand curves are equal to marginal utility curves.

The main determinants of individual demand are the price of the good, level of income, personal tastes, the price of substitute goods, and the price of complementary goods.

The shape of the aggregate demand curve can be convex or concave, possibly depending on income distribution.

As described above, the demand curve is generally downward sloping. There may be rare examples of goods that have upward sloping demand curves. A good whose demand curve has an upward slope is known as a Giffen good or Veblen good.

The existence of Giffen goods cannot be explained by conspicuous consumption, since an increase in stature associated with buying an expensive product means that more than just price is variable. In fact the actual existence of a Giffen good is debatable. Examples of conspicuous consumption are clearly subjective, but might include the Bugatti Veyron. The social phenomenon often referred to as 'Bling' can also be thought of in this way.

Simple supply and demand curves

Economic theory centers on creating a series of supply and demand relationships, describing them as equations, and then adjusting for factors which produce "stickiness" between supply and demand. Analysis is then done to see what "trade offs" are made in the "market", which is the negotiation between sellers and buyers. Analysis is done as to what point the ability of sellers to sell becomes less useful than other opportunities. This is related to "marginal" costs, or the price to produce the last unit that can be sold profitably, versus the chance of using the same effort to engage in some other activity.

Supply and demand

The slope of the demand curve (downward to the right) indicates that a greater quantity will be demanded when the price is lower. On the other hand, the slope of the supply curve (upward to the right) tells us that as the price goes up, producers are willing to produce more goods. The point at which these curves intersect is the equilibrium point. At a price of P* producers will be willing to supply Q* units per period of time and buyers will demand the same quantity. P* in this example, is the equilibrating price that equates supply with demand.

In the figures, straight lines are drawn instead of the more general curves. This is typical in analysis looking at the simplified relationships between supply and demand because the shape of the curve does not change the general relationships and lessons of the supply and demand theory. The shape of the curves far away from the equilibrium point are less likely to be important because they do not affect the market clearing price and will not affect it unless large shifts in the supply or demand occur. So straight lines for supply and demand with the proper slope will convey most of the information the model can offer. In any case, the exact shape of the curve is not easy to determine for a given market. The general shape of the curve, especially its slope near the equilibrium point, does however have an impact on how a market will adjust to changes in demand or supply. (See the below section on elasticity.)

It should be noted that on supply and demand curves both are drawn as a function of price. Neither is represented as a function of the other. Rather the two functions interact in a manner that is representative of market outcomes. The curves also imply a somewhat neutral means of measuring price. In practice any currency or commodity used to measure price is also the subject of supply and demand.

Demand curve shifts

Main article: Demand curve

An out- or right- shift in demand changes the equilibrium price and quantity

When more people want something, the quantity demanded at all prices will tend to increase. This can be referred to as an increase in demand. The increase in demand could also come from changing tastes, where the same consumers desire more of the same good than they previously did. Increased demand can be represented on the graph as the curve being shifted right, because at each price point, a greater quantity is demanded. An example of this would be more people suddenly wanting more coffee. This change in consumer preferences will cause the curve to shift (to the right) from the initial curve D1 to the new curve D2. This raises the equilibrium price from P1 to the higher P2. This raises the equilibrium quantity from Q1 to the higher Q2. In this situation, we say that there has been an increase in demand which has caused an extension in supply.

Conversely, if the demand decreases, the opposite happens. If the demand starts at D2 and then decreases to D1, the price will decrease and the quantity demanded will decrease—a contraction in supply. Notice that this is purely an effect of demand changing. The quantity supplied at each price is the same as before the demand shift (at both Q1 and Q2). The reason that the equilibrium quantity and price are different is the demand is different.At each point a greater amount is demanded (when there is a shift from D1 to D2)

Supply curve shifts

An out- or right- shift in supply changes the equilibrium price and quantity

When the suppliers' costs change the supply curve will shift. For example, assume that someone invents a better way of growing wheat so that the amount of wheat that can be grown for a given cost will increase. Producers will be willing to supply more wheat at every price and this shifts the supply curve S1 to the right, to S2—an increase in supply. This increase in supply causes the equilibrium price to decrease from P1 to P2. The equilibrium quantity increases from Q1 to Q2 as the quantity demanded increases at the new lower prices. Notice that in the case of a supply curve shift, the price and the quantity move in opposite directions.

Conversely, if the quantity supplied decreases, the opposite happens. If the supply curve starts at S2 and then shifts to S1, the equilibrium price will increase and the quantity will decrease. Notice that this is purely an effect of supply changing. The quantity demanded at each price is the same as before the supply shift (at both Q1 and Q2). The reason that the equilibrium quantity and price are different is the supply is different.

There are only 4 possible movements to a demand/supply curve diagram. The demand curve can move to the left and right, and the supply curve can also move only to the left or right. If they do not move at all then they will stay in the middle where they already are.

See also: Induced demand

Market clearance

Main article: Market clearing

A market clears at the point where the quantity demanded is equal to the quantity supplied. Markets which do not clear will react in some way, either by a change in price, or in the amount produced, or in the amount demanded. Graphically the situation can be represented by two curves: one showing the price-quantity combinations buyers will pay for, or the demand curve; and one showing the combinations sellers will sell for, or the supply curve. The market clears where the two curves intersect. In a general equilibrium model, all markets in all goods clear simultaneously and the "price" can be described entirely in terms of tradeoffs with other goods. For a century most economists believed in Say's Law, which states that markets, as a whole, would always clear and thus be in balance.

The market clearing price contains no maximization basis. As a result, any disequilibrium (excess demand or excess supply) is just a matter of graphical exercises. Some economists regarded that a demand curve could be represented by a diminishing marginal use value curve (the schedule of a consumer's maximum willing to pay with different quantity endowments). By this framework, people will buy when the market price is low enough, and they will sell when the price is high enough. In market clearing condition, the market price implies that the marginal use value of all participants are equalized. In other words, mutual gain of exchange is exhausted. Here come the basis of maximization for the concept of market equilibrium.

Elasticity

Main article: Elasticity (economics)

An important concept in understanding supply and demand theory is elasticity. In this context, it refers to how supply and demand change in response to various stimuli. One way of defining elasticity is the percentage change in one variable divided by the percentage change in another variable (known as arch elasticity because it calculates the elasticity over a range of values, in contrast with point elasticity that uses differential calculus to determine the elasticity at a specific point). Thus it is a measure of relative changes.

Often, it is useful to know how the quantity supplied or demanded will change when the price changes. This is known as the price elasticity of demand and the price elasticity of supply. If a monopolist decides to increase the price of their product, how will this affect their sales revenue? Will the increased unit price offset the likely decrease in sales volume? If a government imposes a tax on a good, thereby increasing the effective price, how will this affect the quantity demanded?

If you do not wish to calculate elasticity, a simpler technique is to look at the slope of the curve. Unfortunately, this has units of measurement of quantity over monetary unit (for example, liters per euro, or battleships per million yen), which is not a convenient measure to use for most purposes. So, for example, if you wanted to compare the effect of a price change of gasoline in Europe versus the United States, there is a complicated conversion between gallons per dollar and liters per euro. This is one of the reasons why economists often use relative changes in percentages, or elasticity. Another reason is that elasticity is more than just the slope of the function: It is the slope of a function in a coordinate space, that is, a line with a constant slope will have different elasticity at various points.

Let's do an example calculation. We have said that one way of calculating elasticity is the percentage change in quantity over the percentage change in price. So, if the price moves from $1.00 to $1.05, and the quantity supplied goes from 100 pens to 102 pens, the slope is 2/0.05 or 40 pens per dollar. Since the elasticity depends on the percentages, the quantity of pens increased by 2%, and the price increased by 5%, so the price elasticity of supply is 2/5 or 0.4.

Since the changes are in percentages, changing the unit of measurement or the currency will not affect the elasticity. If the quantity demanded or supplied changes a lot when the price changes a little, it is said to be elastic. If the quantity changes little when the prices changes a lot, it is said to be inelastic. An example of perfectly inelastic supply, or zero elasticity, is represented as a vertical supply curve. (See that section below)

Elasticity in relation to variables other than price can also be considered. One of the most common to consider is income. How would the demand for a good change if income increased or decreased? This is known as the income elasticity of demand. For example, how much would the demand for a luxury car increase if average income increased by 10%? If it is positive, this increase in demand would be represented on a graph by a positive shift in the demand curve, because at all price levels, a greater quantity of luxury cars would be demanded.

Another elasticity that is sometimes considered is the cross elasticity of demand, which measures the responsiveness of the quantity demanded of a good to a change in the price of another good. This is often considered when looking at the relative changes in demand when studying complement and substitute goods. Complement goods are goods that are typically utilized together, where if one is consumed, usually the other is also. Substitute goods are those where one can be substituted for the other, and if the price of one good rises, one may purchase less of it and instead purchase its substitute.

Cross elasticity of demand is measured as the percentage change in demand for the first good that occurs in response to a percentage change in price of the second good. For an example with a complement good, if, in response to a 10% increase in the price of fuel, the quantity of new cars demanded decreased by 20%, the cross elasticity of demand would be −20%/10% or, −2.

Vertical supply curve(Perfectly Inelastic Supply)

When demand D₁ is in effect, the price will be P₁. When D₂ is occurring, the price will be P₂. Notice that at both values the quantity is Q. Since the supply is fixed, any shifts in demand will only affect price.

It is sometimes the case that a supply curve is vertical: that is the quantity supplied is fixed, no matter what the market price. For example, the amount of land in the world can be considered fixed. In this case, no matter how much someone would be willing to pay for a piece of land, the extra cannot be created. Also, even if no one wanted all the land, it still would exist. If land is considered in this way, then it warrants a vertical supply curve, giving it zero elasticity (i.e., no matter how large the change in price, the quantity supplied will not change). On the other hand, the supply of useful land can be increased in response to demand — by irrigation. And land that otherwise would be below sea level can be kept dry by a system of dikes, which might also be regarded as a response to demand. So even in this case, the vertical line is a bit of a simplification.

In the short run near vertical supply curves are more common. For example, if India vs Pakistan cricket match is next week, increasing the number of seats in the stadium is almost impossible. The supply of tickets for the game can be considered vertical in this case. If the organizers of this event underestimated demand, then it may very well be the case that the price that they set is below the equilibrium price. In this case there will likely be people who paid the lower price who only value the ticket at that price, and people who could not get tickets, even though they would be willing to pay more. If some of the people who value the tickets less sell them to people who are willing to pay more (i.e., scalp the tickets), then the effective price will rise to the equilibrium price.

Supply-side economics argues that the aggregate supply function – the total supply function of the entire economy of a country – is relatively vertical. Thus, supply-siders argue against government stimulation of demand, which would only lead to inflation with a vertical supply curve.

Other markets

The model of supply and demand also applies to various specialty markets.

The model applies to wages, which are determined by the market for labor. In this instance, the typical roles of supplier and consumer are reversed. The suppliers are individuals, who attempt to sell their labor for the highest price. Conversely, the consumers of labors are businesses, which attempt to buy the type of labor they need at the lowest price. The equilibrium price for a certain type of labor is the wage.

The model is also held to apply to interest rates, which are determined by the money market. In the short term, the money supply is a vertical supply curve, which the central bank of a country can control through monetary policy. The demand for money intersects with the money supply to determine the interest rate.

Other market forms

In a situation in which there are many buyers but a single monopoly supplier that can adjust the supply or price of a good at will, the monopolist will adjust the price so that his profit is maximized given the amount that is demanded at that price. This price will be higher than in a competitive market. A similar analysis using supply and demand can be applied when a good has a single buyer, a monopsony, but many sellers.

Where there are both few buyers or few sellers, the theory of supply and demand cannot be applied because both decisions of the buyers and sellers are interdependent—changes in supply can affect demand and vice versa. Game theory can be used to analyze this kind of situation. (See also oligopoly.)

The supply curve does not have to be linear. However, if the supply is from a profit-maximizing firm, it can be proven that supply curves are not downward sloping (i.e., if the price increases, the quantity supplied will not decrease). Supply curves from profit-maximizing firms can be vertical, horizontal or upward sloping. While it is possible for industry supply curves to be downward sloping, supply curves for individual firms are never downward sloping.

Standard microeconomic assumptions cannot be used to prove that the demand curve is downward sloping. However, despite years of searching, no generally agreed upon example of a good that has an upward-sloping demand curve has been found (also known as a giffen good). Non-economists sometimes think that certain goods would have such a curve. For example, some people will buy a luxury car because it is expensive. In this case the good demanded is actually prestige, and not a car, so when the price of the luxury car decreases, it is actually changing the amount of prestige so the demand is not decreasing since it is a different good (see Veblen good). Even with downward-sloping demand curves, it is possible that an increase in income may lead to a decrease in demand for a particular good, probably due to the existence of more attractive alternatives which become affordable: a good with this property is known as an inferior good.

An example: Supply and demand in a 6-person economy

Supply and demand can be thought of in terms of individual people interacting at a market. Suppose the following six people participate in this simplified economy:

• Alice is willing to pay $10 for a sack of potatoes.
• Bob is willing to pay $20 for a sack of potatoes.
• Cathy is willing to pay $30 for a sack of potatoes.

• Dan is willing to sell a sack of potatoes for $5.
• Emily is willing to sell a sack of potatoes for $15.
• Fred is willing to sell a sack of potatoes for $25.

There are many possible trades that would be mutually agreeable to both people, but not all of them will happen. For example, Cathy and Fred would be interested in trading with each other for any price between $25 and $30. If the price is above $30, Cathy is not interested, since the price is too high. If the price is below $25, Fred is not interested, since the price is too low. However, at the market Cathy will discover that there are other sellers willing to sell at well below $25, so she will not trade with Fred at all. In an efficient market, each seller will get as high a price as possible, and each buyer will get as low a price as possible.

Imagine that Cathy and Fred are bartering over the price. Fred offers $25 for a sack of potatoes. Before Cathy can agree, Emily offers a sack of potatoes for $24. Fred is not willing to sell at $24, so he drops out. At this point, Dan offers to sell for $12. Emily won't sell for that amount so it looks like the deal might go through. At this point Bob steps in and offers $14. Now we have two people willing to pay $14 for a sack of potatoes (Cathy and Bob), but only one person (Dan) willing to sell for $14. Cathy notices this and doesn't want to lose a good deal, so she offers Dan $16 for his potatoes. Now Emily also offers to sell for $16, so there are two buyers and two sellers at that price (note that they could have settled on any price between $15 and $20), and the bartering can stop. But what about Fred and Alice? Well, Fred and Alice are not willing to trade with each other, since Alice is only willing to pay $10 and Fred will not sell for any amount under $25. Alice can't outbid Cathy or Bob to purchase from Dan, so Alice will not be able to get a trade with them. Fred can't underbid Dan or Emily, so he will not be able to get a trade with Cathy. In other words, a stable equilibrium has been reached.

File:Discrete-supply-and-demand.svg

Discrete supply and demand curves

A supply and demand graph could also be drawn from this. The demand would be:

• One person is willing to pay $30 (Cathy).
• Two people are willing to pay $20 (Cathy and Bob).
• Three people are willing to pay $10 (Cathy, Bob, and Alice).

The supply would be:

• One person is willing to sell for $5 (Dan).
• Two people are willing to sell for $15 (Dan and Emily).
• Three people are willing to sell for $25 (Dan, Emily, and Fred).

Supply and demand match when the quantity traded is two sacks and the price is between $15 and $20. Whether Dan sells to Cathy, and Emily to Bob, or the other way round, and what precisely is the price agreed cannot be determined. This is the only limitation of this simple model. When considering the full assumptions of perfect competition the price would be fully determined, since there would be enough participants to determine the price. For example, if the "last trade" was between someone willing to sell at $15.50 and someone willing to pay $15.51, then the price could be determined to the penny. As more participants enter, the more likely there will be a close bracketing of the equilibrium price.

It is important to note that this example violates the assumption of perfect competition in that there are a limited number of market participants. However, this simplification shows how the equilibrium price and quantity can be determined in an easily understood situation. The results are similar when unlimited market participants and the other assumptions of perfect competition are considered.

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External links

• "Marshallian Cross Diagrams and Their Uses before Alfred Marshall: The Origins of Supply and Demand Geometry" by Thomas Humphrey (via the Richmond Fed)
• Supply and Demand book by Hubert D. Henderson at Project Gutenberg.
• Price Theory and Applications by Steven E. Landsburg ISBN 0-538-88206-9
• An Inquiry into the Nature and Causes of the Wealth of Nations, Adam Smith, 1776 [1]
• By what is the price of a commodity determined?, a brief statement of Karl Marx's rival account [2]
• The Economic Motivation of Open Source Software: Stakeholder Perspectives, Dirk Riehle, 2007 [3]