This video is going to go over how to calculate deadweight loss and kind of describe. What Deadweight. Loss is so dead weight Loss
arises from an
economy not having the maximum
Surplus possible
So if we look at a perfectly competitive model we have our supply and demand lines
The area above price and below demand is our consumer surplus
the area
below price and Above supply is our producer surplus
So there's no Deadweight loss in this economy because surplus is maximized
however if we were to institute a tax or there's an externality or something like that, then we would have a
shift in one of these curves
Where the Optimum should be?
Here, but instead we're here and so that difference
Between where we should be and where we are?
Gives us a Deadweight loss that's occurred in the economy so first What is a deadweight loss?
What's causing it?
It's a difference between Marginal cost and marginal benefit
so you'll notice that at our optimum we have marginal cost equally marginal benefit and
We're good
However if MC prime is our true Marginal cost in the economy
Then we do not have marginal benefit equal to marginal cost because we want to be here instead of here
So everywhere between these two curves
We have a difference between marginal cost and marginal benefit and that creates the deadweight loss
So let's go through an example
We're going to begin our economy in equilibrium
and just to make things easy let's say that the initial equilibrium is 5
5 so then the government decides it decides that they want to institute a tax and let's call it a supply-side, tax
So that's supply plus t our new equilibrium is going to be at this point and let's just say that
results in a price instead of 6 a
quantity of 4 and then here this price that the suppliers receive is 4
so here the quantity of the tax is 2
The line shifted up by the amount of to the suppliers
Take half the tax and the consumers take half the tax
So again remember with Deadweight loss we want to be here
at a quantity of 5 and a price of 5
but we end up it here at a quantity of 4 price after tax of 6
our sorry price before tax of 6 and price after tax of 4
So remember this is our marginal benefit
This is our marginal cost and this is our marginal cost plus the tax
So what's going on in the economy is at this point right here?
We're losing out on Potential Surplus
Because the true marginal benefit of the economy is still greater than the true marginal cost of the economy
It's just that the tax
has
Taken away that potential because now suppliers have to pay a tax instead of realizing their true gains
So everywhere between the marginal benefit and marginal cost from this new quantity
To the old quantity is going to be deadweight Loss
the neat thing about this is just the area of the triangle and if you remember
the formula for calculating the area of the triangle it's 1/2 times base times height and
Here our base is
1/5 minus 4 so if we have 1/2 times 1 and then our height is going to be 6 minus 4 or 2
so 1/2 times 2 equals 1 so the Deadweight loss in our economy the
area of this triangle is going to be 1 and what that means that without the tax our
Economy would have a total surplus greater
Than 1 added to it if we could get rid of that deadweight loss
So that's how it works with a tax. Let's go through an [example] with an externality
So here we have qp. Let's do demand and supply
Again, let's choose five and five so what if there's an externality say we have pollution
So this is our new supply with the external cost it could give us our social cost curve
whereas this is just marginal cost and marginal benefit, so let's use the same numbers as before
But what's going on? Here [is] now. This is the true cost to society
Whereas
When the market functions were equated marginal cost equal to marginal benefit
And that's where private firms maximize
But we don't want private firms to maximize at Marginal cost equals marginal benefit
We want marginal benefit equal to social cost because that's the true cost to society of having that firm in business
so again
let's just call that seven we have to find the difference between
Social benefit or Marginal benefit and Social cost and
Everywhere we have a difference that's going to calculate into our deadweight loss number
So it's going to be everywhere from
the equilibrium, we are currently at
To the equilibrium, we should be at and we can just fill that area in and again to calculate it
1/2 base times height
and we can look at the numbers [here] again our base is 1 again our height is 2
So we get a deadweight loss of one
With the externality case in terms of a negative externality
we just have that Deadweight loss triangle pointing the other way
But typically we'll see the deadweight loss occurring on this side for the negative externality case
It's kind of unique and that you'll see it coming from the other side
