considers that the number of real-world distortions is far greater than simply
the need to use distorting taxes, the prospects for achieving a uniWed norma-
tive theory of the public sector are indeed discouraging.
THE COASE THEOREM, BARGAINING, AND
PRIVATE INFORMATION
The Coase Theorem holds out hope that government intervention might not
always be required to solve market failures such as externalities. Its premise is
that in the absence of private information and transaction costs, private
agents have an incentive to bargain with one another and write whatever
contracts are necessary to extract all pareto-superior gains and thereby reach
the pareto optimum. The only prior requirement is the assignment of prop-
erty rights, so that ownership of the activities giving rise to or receiving the
externalities is clearly established.
No one expected the Coase Theorem to apply to instances of widespread
externalities because the transaction costs of bringing large numbers of
agents into a bargaining setting were likely to be formidable. But the hope
was that externalities involving only a few agents could be settled eYciently
through bargaining rather than by government intervention.
Coase published his Theorem in 1960. Since that time, developments in
bargaining theory have pretty much dashed the hopes of the Theorem even in
the case of small numbers of agents. There are two main problems. One is
that the formation of coalitions through cooperative bargaining requires that
certain conditions be satisWed for the coalitions to be stable. Unfortunately,
the set of stable coalitions may not include the pareto-optimal allocation, and
even if it does the bargaining process may not settle on the pareto-optimal
coalition. The other problem is that private information may limit the pay-
ments that agents are willing to make to other parties as part of a bargain.
The acceptable range of payments may preclude the payment that is neces-
sary to achieve the pareto optimum.
The Coase Theorem can get around these problems in principle by
assuming them away. Rational agents may be seen as rejecting any pareto-
inferior coalitions simply because they are pareto inferior. Or, rational agents
may be presumed to reveal their private information willingly if doing so
would lead to pareto-superior allocations. Assumptions such as these eVect-
(20.11) or (20.15): 1). the sources of tax revenues, particularly whether there is the possibility of a
lump-sum tax equal for everyone; 2). whether taxes are set optimally; 3). the distributional
characteristic of the public good, deWned in terms of the covariance between individuals' MRS
and their marginal utility of income; and 4). the eVect of changes in the public good on tax
revenues. Sandmo argues that (1) and (2) should be considered in calculating a marginal cost of
public funds but not (3) and (4), since they are speciWc to particular public goods.
668 THE COASE THEOREM, BARGAINING, AND PRIVATE INFORMATION

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