Topic 7. Welfare Economics


In concluding this Lesson we want to summarize what economists can and cannot say about institutional arrangements and government policies designed to improve the economic welfare of society. We have already noted that economists can give very useful guidance to society on matters of efficiency, but their value judgements on matters of distribution are no better than anyone else's.

When economists say that a particular government policy or an institutional change (that is, change in the rules according to which people do business with each other) leads to a gain in efficiency they mean something very specific. They mean that under the new arrangement it would be possible to make everyone better off. That is, the gainers could compensate the losers and still have something left over. Once such efficiency gains have been fully exploited and a situation has been reached where no further efficiency gains are possible---where one person's situation can only be improved by making someone else worse off---we say that the allocation of resources in the economy is Pareto Optimal or Pareto Efficient. The concept is named after Vilfredo Pareto (1848-1923).

The production and consumption of the various goods in the economy is Pareto Optimal when the combined rents to producers and consumers are the largest that can be obtained. Since these optimal quantities produced and consumed depend on the positions of the demand curves for the various goods, and since the demand curve for any good depends on the distribution of income between those who like the good a lot and those who do not, changes in the distribution of income will affect the demand curves for the various commodities and the maximum consumer and producer rents that can be obtained by producing and consuming them. The Pareto-Efficient production and consumption levels for the commodities produced and consumed in the economy will thus depend on the distribution of income---the fact that a situation is Pareto Optimal therefore does not imply that the distribution of income at which it arises is a socially desirable one.

We have established that an important requirement for the usefulness of straight-forward supply and demand analysis is that products be competitively priced. By this we mean that each individual buyer and seller buys such a small portion of the total quantity of the good that his/her actions cannot appreciably influence the market supply or demand---hence each market participant takes the price as given. Economists call this perfect competition. If there are no externalities, then competitive pricing implies that the Pareto-Efficient quantity will be the one at which the supply and demand curves intersect. These are the quantities that will maximize combined producer and consumer rents for the particular distribution of income that leads to these supply and demand curves.

This condition that in the absence of externalities perfect competition will lead to Pareto Optimality is called the first theorem of welfare economics. While the ideas behind this theorem have been known for decades, it was made precise by Kenneth Arrow (1921-  ), and Gerard Debreu (1921-2004). Note again that this is a theorem about efficiency, not social welfare in general. There are many possible competitive equilibria since every different distribution of income will have associated with it a different Pareto-Efficient mix of goods produced and consumed. Economic efficiency involves getting to one such equilibrium---choosing an appropriate distribution of income and thereby picking the particular Pareto-Efficient equilibrium that will be the socially desirable one involves value judgments and goes beyond the scope of economic analysis.

A movement to Pareto Optimality without the gainers compensating the losers involves a redistribution of income. The new equilibrium is still a Pareto-Efficient one in the sense that, the redistribution having been made, it is now impossible for any individual to gain without someone else losing. Because of the distribution effects from moving to a Pareto-Efficient situation, the losers will frequently engage in rent seeking to prevent such a move from taking place.

If there are no transaction costs involved in making and enforcing agreements among individuals and groups of individuals and if the individual rights of all transacting parties are properly guaranteed by the legal system, then the gainers would bribe the losers to obtain their agreement and Pareto-Efficiency would occur naturally. This notion that Pareto-Efficiency will occur automatically if transactions costs are zero and gainers can always compensate losers is called the Coase Theorem (due to Ronald Coase (1910-  ). It can be illustrated with respect to the familiar externality arising from industrial smoke. The argument is presented in Figure 1. We suppose for simplicity that the social cost of production including the environmental damage from the smoke by-product is the curve  h S  while the cost of production of the industry, which pays none of the cost of the smoke damage, is  k S'.  We also assume for simplicity that smoke inhibiting devices are prohibitively costly. The demand for the product is  g D. We assume that the adverse effects of environmental damage are borne by conumers alone.

Suppose now that the system of property rights protects consumers from industrial smoke---no one has a right to produce smoke without explicit permission from those affected. In the absence of such permission the output of the product will be zero. When there are no transactions costs, however, producers can easily obtain the consent of consumers---they can agree to pay them the amount  h a u k  for the right to produce the quantity  Q0  and sell it at the price  P0.  Consumers will capture the area  g a P0  and producers will capture the rent  P0 a h.  Bargaining between producers and consumers could lead to a different split of the rent  g a h  than this, but whatever the distribution of these gains, the Pareto-Efficient output will be produced.

Alternatively, suppose that well-defined property rights exist that place no restrictions on industrial smoke. The industry will produce the output  Q1  and the market price for the product will be  P1.  Producers will earn a rent, over and above the private opportunity costs, equal to the area  P1 b k.  Consumers will earn the surplus  g b P1  minus the cost to them of the smoke damage, given by the area  h c b k.  Taking everything into consideration, the economic rent to society will be the area  g a h  minus the area  a c b.  This falls short of the maximum possible rent by the area  a c b,   which equals the area  g b P1  plus the area  P1 b k  minus the area  h c b k.

Figure 1

When there are no transactions costs, consumers will form an association and agree to pay producers an amount sufficient to induce them to produce the output  Q0  and sell it at the price  P0,  rebating their profits,  P0 a u h,  back to the consumers' association for distribution to its members. Producers will require a payment from consumers equal to the shaded area to compensate them for the loss of rent from producing  Q0  rather than  Q1.  Given linear supply curves, this shaded area is equivalent to the area  C1 c a P0.

Since the price  P0  now reflects consumers' full costs, including the environmental costs, they directly lose the area  P0 a b P1  as compared to their previous situation. Previously they were receiving the consumer surplus  g b P1  minus the environmental costs  h c b k.  Given linear supply curves, these environmental costs can be equivalently represented by  C1 c b P1,  so that the previous net benefits to consumers could be alternatively represented as  g b P1  minus  C1 c b P1.

After bribing producers to get them to produce  Q0  at a net price  u Q0,  consumers lose, as they move from  Q1  to  Q0,  the amount they have to compensate producers  C1 c a P0  ( which is equivalent to the shaded area ) plus a reduction  P0 a b P1  in consumer surplus. In doing this they avoid the loss  C1c b P1  (which is equivalent to  h c b k)  leaving them with a net gain equal to the area  a c b.  The direct loss of consumer surplus plus the bribe to producers is less than the costs of the pollution by this area. Some of this gain will have to be shared with producers to obtain their agreement by making them better off rather than indifferent between the new and old arrangements.

When there are no transactions costs the inefficiencies resulting from price collusion among firms will also disappear, even if collusive agreements are enforceable in the courts. Consumers will simply pay cartels slightly more than the amount of their profits from collusion in return for their agreement to price competitively.

Given zero transactions costs, Pareto-Optimality will be attained as long as the government allows people to make the necessary agreements. The distribution of income will depend on the initial property rights before these agreements take place. But no matter what the initial situation, agreement will take place and Pareto-Optimality will be achieved as long as property rights are clearly defined and enforced.

The problem is, of course, that transactions costs are not zero. One or two firms may agree on a strategy, but it will be impossible to get a large number of consumers to agree on the payment or compensation for each consumer. There will always be hold-outs who will try to obtain a greater share of the rents. As a result, the Coase Theorem will not be applicable to most situations---the importance of the theorem is in its delineation of the appropriate roles of transactions costs and property rights in the achievement of Pareto-Efficiency. Property rights are important because individuals cannot make agreements unless they have the legal right to do so and any such agreements are legally enforceable. The particular property rights established in any situation also determine the distribution of income.

Because transactions costs are often large, Pareto-Efficient outcomes frequently cannot be achieved by private transactions. The government can often produce a Pareto-Optimal situation by intervening---for example, the optimal degree of pollution in Figure 1 can be engineered by putting a per-unit tax on output equal to  a u.  The trouble is that transactions costs of handling social problems through government are also not zero. Producers will lobby against the tax. Environmental groups will lobby in favor of it. The policies of the government will most often be determined by the effectiveness of the rent-seeking activities of the gainers and losers from government action---this will be determined, in turn, by whether transactions costs are lower for the gainers or for the losers.

It is again time for a test. Think up your own answers before looking at the ones provided.

Question 1
Question 2

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