A Closer Look at the Law of Rent

Adding a few specific factors can help us to understand how land speculation works. Here is a model with five different grades of land. Workers are more productive on the better land - they can produce more units of wealth. And, on the better grades of land, more workers can be employed on each plot. The cost of public services (infrastructure) is higher on the better land. (Note that the infrastructure cost per worker is the same, in this simple model -- in the real world, public infrastructure is more efficient where population is more concerntrated.)

Let's say that there are four plots of each grade of land in our model, and one of each has been held out of use, for speculation.

4 plots
of each
grade
of land
5 units per worker/day;
50 workers
per plot
4 units per worker/day;
40 workers
per plot
3 units per worker/day;
30 workers
per plot
2 units per worker/day;
20 workers
per plot
1 unit per worker/day;
10 workers
per plot
1. 50 x 5 40 x 4 30 x 3 20 x 2 10 x 1
2. 50 x 5 40 x 4 30 x 3 20 x 2 10 x 1
3. 50 x 5 40 x 4 30 x 3 20 x 2 10 x 1
4. 0 0 0 0 0Totals
# of workers 150 120 90 60 30450
wealth output 750 480 270 120 301650
infrastructure
cost
200 160 120 80 40600

Now let's see what happens if we employ the same number of workers, but without land speculation:

5 units per worker/day;
50 workers
per plot
4 units per worker/day;
40 workers
per plot
3 units per worker/day;
30 workers
per plot
2 units per worker/day;
20 workers
per plot
1 unit per worker/day;
10 workers
per plot
1. 50 x 5 40 x 4 30 x 3 free free
2. 50 x 5 40 x 4 30 x 3 free free
3. 50 x 5 40 x 4 30 x 3 free free
4. 50 x 5 40 x 4 free free free
# of workers 200 160 90 - -450
wealth output 1000 640 270 - -1910
infrastructure
cost
200 160 120 - -480

So we see that by eliminating wasteful hoarding of land by speculators, we can increase production, reduce infrasctructure costs, and raise wages!

Now, let's take an even deeper look, and factor unemployment and social welfare into out chart.


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