The New Economics of the 1930's


The neoclassical economists had assumed:

After 1929, it seemed that this is not true, and the time had come for a "new economics" that could explain unemployment.

Supply and demand couldn't do it. If there is unemployment, then employment is not determined by supply and demand, since supply and demand are not in equilibrium. Then what determines employment? >



Some Key Ideas and People

Aggregate Demand
Total demand for goods and services of all sorts.
Malthus
Thought that insufficient "aggregate demand" could lead to unemployment.
Jean Baptiste Say
A French economist, believed that Malthus was wrong, since no-one would supply goods except for the purpose of demanding other goods to the same value. The Great Depression made him look pretty bad.
John Maynard Keynes
He tried to sort all this out. The name rhymes with "brains."


Keynes' Thinking

Keynes thought that
on the one hand
Malthus must have been basically right -- the facts speak for themselves.
on the other hand
Say had a point -- the logic seems sound.
Say's problem was timing. People supply goods and services in order to demand goods and services, but not necessarily at the same time. They may produce now in order to spend in the future. That's called saving. But it means that production and spending may not be coordinated. That's the coordination problem.


Expenditure


So Keynes looked to expenditure as the source of aggregate demand. We recall from that chapter that expenditure has just four components:

Let us look a little longer at the first and biggest of the four categories: consumption.


Income and Consumption

Common-sense suggests that there is a link between income and consumption. We can express this by the marginal propensity to consume.

Marginal Propensity to Consume -- abbreviation MPC
From one additional dollar of income (after taxes), the Marginal Propensity to Consume is the fraction of the dollar that is spent on consumption. (The rest is saved).
One of the simplest ways to express the income-consumption link is as a linear function:

1. C = a + bY

where


Consumption Data


Figure 1: Income and Consumption

Each x corresponds to the income (on the horizontal axis) and the consumption (on the vertical axis) for one of the years between 1929 and 1982 inclusive.


More Terminology

Autonomous Consumption
Autonomous consumption is the portion of consumption expenditure that does not depend on income.

Examples

C = 500 + 0.7*Y

In this example, autonomous consumption is 500 and the marginal propensity to consume is 0.7.

C = 0.9*Y,

In this example, the marginal propensity to consume is 0.9 and autonomous consumption is zero.

In general, if the consumption function is written as

C = a + b*Y

a is autonomous consumption, and b is the marginal propensity to consume.


A Very Simple Model


The "supply and demand" model does a lot with two interacting relationships. Let's try something like that. Here are the two:

1. Y = C + I + G + NX

2. C = a +b*Y

where


A Very Simple Model


To be more specific, with hypothetical numbers,

1. Y = C + I + G + NX

2. C = 500 + 0.7*Y

To keep things as simple as possible, let's assume that investment is a given constant, I = 1000 (billion dollars), and G and NX are zero, and there are no taxes.

Taking equation 1 and substituting 1000 for I and zero for G and NX, we have

3. Y = C + 1000


Y C Expen-
diture
Y on
vertical
axis
0 500 1500 0
500 850 1850 500
1000 1200 2200 1000
1500 1550 2550 1500
2000 1900 2900 2000
2500 2250 3250 2500
3000 2600 3600 3000
3500 2950 3950 3500
4000 3300 4300 4000
4500 3650 4650 4500
5000 4000 5000 5000
5500 4350 5350 5500
6000 4700 5700 6000
6500 5050 6050 6500
7000 5400 6400 7000
7500 5750 6750 7500
8000 6100 7100 8000
8500 6450 7450 8500
9000 6800 7800 9000
9500 7150 8150 9500


Visualizing the Model

In the figure, income is measured on the horizontal axis and components of expenditure are measured on the vertical axis. The 45 degree line, shown in blue, has been put in to make it easier to compare income (horizontal axis) with expenditure (vertical axis).


Equilibrium means Income = Expenditure

Now, let's consider a few possibilities: what if ... ?

What if income is 3000?
An income of 3000 leads people to spend 2600 on consumption. Adding that to 1000 of investment we get a total expenditure of 3600 -- expenditure 600 more than income. So 3000 cannot be an equilibrium income.
What if income is 7000?
An income of 7000 leads people to spend 5400 on consumption. Adding that to 1000 of investment we get a total expenditure of 6400 -- expenditure 600 less than income. That's not right, either -- so 7000 cannot be an equilibrium income.
What if income is 5000?
An income of 5000 leads people to spend 4000 on consumption. Adding that to 1000 of investment we get a total expenditure of 5000 -- eureka! Income equals expenditure, and we have found the equilibrium income for the example.


A Little Algebra

1. C = 500 + 0.7*Y

2. Y = C +1000

3. Y = 500 + 0.7*Y +1000

4. Y - 0.7*Y = 500 +1000

That is

5. Y*(1 - 0.7) = 1500

The next step is to divide both sides by (1 - 0.7):

6. Y = 1500/(1-0.7)

Now, (1 - 0.7) is 0.3, and so, dividing 1500 by 0.3, we get the equilibrium income -- 5000 billion dollars.


The Multiplier

In general algebraic terms, the formula for the solution is

7. Y = (a+I)

The term

is called "the multiplier." In our numerical example, the multiplier is

1/0.3 = 3.333...

Multiplier
The "multiplier," also known as the "autonomous expenditure multiplier," is computed as one divided by one minus the marginal propensity to consume. In a simple Keynesian model, we may obtain the equilibrium income by multiplying the sum of all autonomous spending by "the multiplier."


Inventories

What makes this an "equilibrium?" Inventories are a key to that.

Inventories
Inventories are stocks of goods held in businesses to bridge the gap between unpredictable sales and scheduled deliveries. For example, in a retail shoe store, the inventories would consist of pairs of shoes available to be sold.
At the beginning of a period, businessmen decide how much they think it will be profitable to invest in inventories. If businessmen do not sell as much as they had expected, they will find themselves with more inventories than they had planned to have, or wanted to have. These increases in inventories are investments, but they are not investments the businessmen had intended to make. They are "unintended investment."


Table 2: The Multiplier Step By Step

Round Increase
in Spending
Running
Total
1 100 100
2 70 170
3 49 219
4 34.30 253.30
5 24.01 277.31
6 16.81 294.12
7 11.76 305.88
8 8.24 314.12
9 5.76 319.88
10 4.04 323.92
11 2.82 326.74
12 1.98 328.72
13 1.38 330.10
14 0.97 331.07
15 0.68 331.75
ultimate total
333.33