Sunday, May 7th 2017

Article By: Charles St. Pierre

                             

A large tax wedge can lead to a dramatic increase in economic efficiency. The market share of ‘deadweight loss’ produced by a tax wedge consists of inefficient producers and indifferent consumers.  The high costs in resources involved in production of the relatively small quantity of ‘deadweight loss benefits’ can be much more efficiently applied elsewhere in an economy.  Because of this increase in efficiency, we find a substantial government sector and its services may be maintained with very little net cost to a society without cost.

Historically, taxes have been considered to be a burden on the productive capacity of an economy.  Many of us have at least little bit of a feeling that they’d be better off without them.  Even critical services such as police and fire protection are suspect expenditures to some. Spending tax money on infrastructure, like roads, public water supplies, in some countries health care and retirement, some claim to be an imposition on their liberty.  Some say all taxation is theft. We will not arguer these philosophical points, we will merely argue that an economy, a society, is materially better off with taxes, almost irrespective of what those taxes are spent on.  This is because some of the most important benefits of taxes are not in what they provide, but in how they can shape an economy. Here they can provide a massive increase in economic efficiency, a much higher amount of goods and services for a given amount of resources consumed.

Let us look the standard Econ 101 supply and demand diagram of a free market, and see what happens when we impose a tax.  We will look at the market for that commodity familiar to economics students everywhere: Widgets. Sure, it could be  a market in anything, but most markets have unique characteristics, and we want to talk generalities.  So we’ll use widgets.

 
 
taxes supply and demand
 
 

In a supply and demand diagram for the market of widgets, the quantity of  widgets bought and sold is plotted against the price.  The more money is offered for widgets, the more producers are willing and able to make, so the supply curve slopes upward.  The demand curve slopes downward because the higher the price for widgets, the fewer widgets consumers are willing to buy.  Where they come together  (at the equilibrium point e)  is that price where consumers are willing to buy as many widgets as producers are willing to make and sell.

The green and blue triangles are the benefits (welfare) society gets from widget production. The benefits are divided between the producers and the consumers.  The blue is what the producer gains from producing widgets.  This includes his profits. The green is the net benefits consumers get from using their widgets. Not all consumers derive the same benefits.  Some need their widgets more.  Some may just have more fun with them.

The price is the market price, and is the same for all producers and consumers.  The quantity of widgets produced, and the price they are sold at on the market, are determined from where the supply and demand curves come together.  (At e.) Looking at the diagram, we see the widget producers on the left are able produce at a lower cost than producers on the right, so they are able to make higher profits.  They get more benefits than the less efficient, more marginal producers.  Similarly, the consumers on the left get more benefit from the use of the widgets they buy. This is shown by their willingness to pay a higher price along the demand curve.  The difference between what they are willing to pay for widgets and what they actually have to pay is the net benefit they derive from what they are buying.

To the right of the equilibrium point, the cost to producers for making widgets is greater than consumers are willing to pay for widgets.  The cost of production per widget goes up, but with more widgets produced than consumers are willing to pay so high a price for, the price goes down.  So producers don’t make more than quantity Q  widgets, because consumers won’t buy more than Q at that price. 

So what  happens when we put a tax on widgets?  Here we put a production tax T on every widget.  This results in a price difference between P’, the price consumers pay, and  P*, the price producers collect, on every widget produced. This is called a tax wedge.  It effectively increases the cost of production for widgets.  So it shifts the supply curve up by that amount, as shown in the following diagram.

 
 
market with taxes
 
 

Since the  price P’ paid by consumers is higher, they don’t want to buy as many widgets as before. Instead of wanting to buy Q widgets at price P, at the higher price P’ they only want to by Q’ widgets.  Meanwhile, at the quantity Q’ of widgets that consumers want to buy, producers can only receive P*.  The difference between the prices P’ – P*, times the quantity Q’ produced and sold, is the revenue received by the government.  So we have three regions of benefits, Producer Welfare and Consumer Welfare are both reduced. 

Much of this welfare lost by consumers and producers goes instead as Government Welfare.  For their loss in taxes, consumers and producers gain the benefit of government services. The remainder is the region of deferred welfare, benefits which society does not receive, because the tax makes the production of more than Q’ widgets unprofitable to producers, and too expensive for consumers. So the combined benefits to society with the tax are less than the benefits which accrue to society without the tax.

However, this region of lost benefits, the region of so called ‘deadweight loss due to taxes,’ consists of benefits which are both costly to produce, and therefore of low benefit to producers, and of low benefit to consumers, because the remaining consumers in the market are unwilling to pay much more than what the market price would be without taxation.  In fact, with taxation, they are unwilling to pay the price for widgets at all.  They just don’t want widgets that badly. The resources spent in producing these small benefits, now, could be more efficiently spent elsewhere in the economy, as we show in the next diagram.

 
 
how taxation can create economic efficiency
 
 

Here, in Market W,  S’ is the new Supply curve brought about with the increase in costs imposed on widget producers from taxation.  The marginal benefits (green striped triangles) otherwise attained by marginal producers at higher cost are forgone, the resources which would have been spent to obtain those marginal benefits are instead available, and here allocated, to be expended more efficiently in Market T of the economy, the market for thingbobs,.  Market T can be similarly taxed, the resources applied still elsewhere in the economy. Eventually, of course, the entire economy is made more efficient, as a portion of the otherwise inefficiently used resources in other markets are distributed to other markets, are some even eventually returned to more efficient use in the markets for widgets and thingbobs.  

Now the freed resources are not actually re-allocated by government.  Private enterprises, rather than trying to inefficiently compete in an unprofitable market, simply choose to place their resources in other markets where they can be used more efficiently.  One can argue, of course, that they should do this anyway.  But it is simply the fact that every market has marginal and inefficient producers, trying to make a dollar.  The tax provides them with additional incentive to enter markets where their use of resources will be more socially efficient, where for lesser cost they provide greater welfare.

To be sure, the difference is harvested by the government. And if we examine the diagram with two markets, we see that the net benefits to the private sector are smaller, with the tax, by about the welfare society would gain from the inefficient producers.  The diagrams are generic, and results will vary. 

However, in the example sketched, with a tax wedge in place transforming the inefficient producers in one market into efficient producers in another, for the same cost, society gains government welfare in amount about 4 times the total welfare provided by the inefficient producers. (The direct gains in government welfare from taxing widgets replaces some of the welfare society would gain if the market in widgets were untaxed. So, for the cost of expensively produced widgets, we gain efficiently produced thingbobs, and a total of government services of value more or less equal to the value of the combined social value of the production of both widgets and thingbobs.    .

Under judicious taxation, as a result of this increase in efficiency in the use of resources, most of the services of government can be provided for for free.  That is, resources which would be applied in some inefficient productive process, and so largely wasted, may be applied more efficiently in providing economically useful government services. And many of the services provided by government, by eliminating many of the costs of transaction and overhead that producers would otherwise bear, also act to increase the efficiency of the private productive economy. 

Inadequate taxation, and the necessary reduction in economically useful services purchased with these taxes, far from increasing the competitiveness of an economy, decreases it, and nations with an inadequate public sector are at a competitive disadvantage with respect to foreign producers in countries with more robust public sectors. Further, even with the light tax burden, the citizens of countries with small public sectors are less provided for, and are a greater burden to the industry of that country, than countries with a larger government service sector. 

In the example illustrated by the diagram, without taxation the total social welfare is about twice the cost of resources expended. (  The size of the green plus the blue triangles compared to the pink triangle in the first diagram.) With the tax wedge as illustrated, the total social welfare is almost 4 times the real cost to producers.  (The size of the solid green and blue regions in both markets of the previous diagram compared to the solid pink regions.)

Although we have drawn the diagram for two particular and identically composed markets, it is apparent that for a wide variety of supply and demand diagrams, and thus, for a wide variety of economic sectors, the application of a tax wedge will result in a large increase in economic efficiency.

By implication, the opportunity costs of the small amount of marginal benefits forgone are huge. The benefits forgone would be obtained by essentially wasting resources in producing them, and are a small fraction of the benefits produced by allocating these resources more efficiently.  Indeed, we may expect this improvement to be even better than it initially appears, since we would expect the most marginal producers to be those most eager to externalize their costs in order to remain competitive.  Pressure to externalize costs is thus also reduced on the more efficient producers. The economic results from failing to apply a tax wedge in a market are, apparently without exception, far inferior

The very pejorative “deadweight loss,” has been used by those ideologically opposed to government intervention in an economy as a justification for their position. However, they, and the economics profession as a whole, have totally over-looked the high opportunity costs involved in the creation of these marginal benefits.  Taking these costs into consideration inverts the conclusion:  The gain in freed resources, in almost any reasonable scenario, far outweighs any gain involved in wastefully spending these resources for these relatively small benefits.  Indeed, in the scale of economic activity, these resources are much more wisely spent elsewhere.  And the tax wedge causes this to happen.  Far from being a burden, taxation in a market, and at what is traditionally considered a rather high level of taxation, can yield much closer to optimal economic results. .

I leave it to those ideologically opposed to government intervention to find exceptions to the tax wedge increasing efficiency. I do observe that the apparent requirement for monotonicity in the supply and demand curves would seem to make finding these exceptions difficult. 

One interesting argument, though, which remains, is the argument from liberty.  This argument would seem to suggest that the wanton destruction of scarce resources is, somehow, ‘liberating.’ And indeed, acquiring the ability to squander society’s resources seems to be one of the primary motives for becoming wealthy, and indeed the ability, and under capitalism the right, to squander society’s resources is the very defining characteristic of wealth. And this would seem, for example, to be the argument against higher gasoline taxes in the United States. The case shown here is that a higher gasoline tax, even with money spent (more efficiently) on public transit, would free up resources for everyone, as the European experience seems to show.  To be sure, there would be less joyriding, and tickets to NASCAR events might become more expensive.

There does remain the issue of determining the balance between efficiency and quantity of production in any particular market required for the proper functioning of an economy.  Considerations of scale indicate that, contrary to what is shown in the diagrams, the first unit of anything is seldom the most efficiently produced.  Rather, there is an optimum scale of production, that which minimizes the average cost, (This ignores issues of demand, and thus actual profit.) and we must consider this to be true for an entire economy as well as for a particular production process.  While with this consideration the improvement in economic efficiency would not be as great, it must still be expected to be impressive.

Also, it should be easier to tax economic wants as opposed to economic needs.  (Although see problem three, below.) A more efficient economy, however, needs less to sustain its function and so has relatively more resources available for the servicing of wants. 

 “Deadweight loss” is also found in other market situations.  Regulated markets, markets with price controls, and markets restricted by private actions such as monopoly formation and oligopoly usually also involve deadweight loss. Increases in efficiency should also be expected in these situations, so It would seem that these other situations also, at the least, need to be re-examined.

 
 
 

Now direct consumer benefits per se are also much less under taxation, the same as under monopoly, and the producer surplus is also much less. However, the government spreads much of its income widely. It is, in its way, both a consumer and a producer. It re-distributes consumption, and capitalizes production, both directly, through capital investments, and indirectly, through subsidy of production, and creation and maintenance of infrastructure. And all of its expenditure, purported to be for the public benefit, does, one way or another, enrich the diverse sectors of the economy.

One problem with the tax wedge, however, because it favors the more efficient producers, it also favors the economic drift toward concentration of ownership, and the creation of oligopolies and eventually monopolies.  We will address this issue here shortly.

Narrowly held monopolies cannot be expected to spread their profits.  Neither can monopolists be expected to spend their profits to provide services which increase the efficiency of the larger economy.   Monopolies once formed, and where not widely owned, further to aggravate the natural tendency of economies to concentrate wealth and power, a concentration which leads to economic instability and collapse. This is especially so because the power concentrated in monopolies tends to translate into political power.  And the monopolist must be expected to use this power to further his power, and mitigate the impact of a tax wedge on his revenue. 

A second problem is that producers which escape taxation will eventually displace those producers which are subject to taxation. The result will be a reduction in both taxes collected and in economic efficiency.  This problem must be considered especially acute in open economies, where tax paying domestic producers can be expected to be displaced by non-taxpaying (and these producers which can often be less efficient) foreign ones The interesting implication here is that, while a nation’s economy may be producing less and consuming more, as an increased share of what is consumed is imported, (much of what is considered production actually either enables consumption, or is a form of consumption,) that economy need not be any better off for this increase in consumption.  Because of the decrease in economic efficiency, fewer consumables will be efficiently used, and more of this consumption will be squandered.  A country running a deficit is essentially externalizing costs, and these costs may in reality be greater to the country than if the country were to internalize them.

A third problem is, of course, the politics of taxation.  Nobody likes to be taxed, and the powerful, more than others, are capable of avoiding it. (This also bears on the second problem.) This first suggests that the markets which serve the wealthy will be the least efficient, even though these are the markets where an economy can most easily bear the loss of marginal producers.  (Marginal producers may be needed in the production of an economy’s necessities.)  And this further suggests that a disproportionate share of an economy will be dedicated to servicing the wealthy, even at the expenses of the necessities of that economy, such as maintenance of infrastructure.  For instance, a recent study has shown that in the United States today, essentially no policies are enacted by the government which are not also approved by the wealthy elite.  An implication of this is that the tax burden upon this elite can only be expected to diminish, and thus that the burden of taxation on the rest of economy and the population can only increase.

One final note.  As an economy increases in efficiency, it inherently becomes less stable, and more vulnerable to collapse. An efficient economy becomes dependent on its efficiency in order to be productive enough to sustain itself.  The greater the efficiency, the greater its dependence.  A reduction in efficiency will result in a reduction of production, perhaps sufficient enough that that economy can no longer sustain itself. 

A particular consideration regarding improvements in efficiency brought about by regulation and a tax wedge, where a wedge and/or regulation is already established, is that removing or even merely reducing these factors will result in a reduction of that efficiency, and a resulting reduction in the productive capacity of that economy.  That economy may no longer be able to sustain itself. With a critical reduction in production, cascades may result, and the possibility of sectoral and even general collapse.  Great care, therefore, should be exercised in the reduction of the size of tax wedges, or the elimination or alteration of any significant regulation. 

Given the tightly coupled world economy, the efficiency of production of any  major economy is a concern for all other nations.

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David McDonald

David McDonald

David is a 19-year-old Canadian student currently attending the University of Guelph. He currently studies Public Management and economics with hopes of one day becoming an accomplished journalist. David enjoys reporting on global events and actively try to make a difference in the world.
David McDonald

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