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In the Lindahl Model, Dt represents the aggregate marginal benefit curve, which is the sum of Da and Db---the marginal benefits for the two individuals in the economy. In a Lindahl equilibrium, the optimal quantity of the public good will be where the social marginal benefit intersects the marginal cost (point P).
These marginal valuations are, formally, marginal rates of substitution relative to some reference private good, and the marginal cost is a marginal rate of transformation that describes how much of that private good it costs to produce an incremental unit of the public good. This contrasts to the social optimality condition of private goods ...
It may be used in estimating the value of creating a highway system, schools, or enforcing environmental protection, for example. All of these things require a cost–benefit analysis where policy makers measure the social marginal cost and the social marginal benefit for each project. Almost all new policies will not even be considered until ...
The applications of the marginal cost of public funds include the Samuelson condition for the optimal provision of public goods and the optimal corrective taxation of externalities in public economic theory, the determination of tax-smoothing policy rules in normative public debt analysis and social cost-benefit analysis common in practical ...
The marginal private benefit of getting the vaccination is less than the marginal social or public benefit by the amount of the external benefit (for example, society as a whole is increasingly protected from smallpox by each vaccination, including those who refuse to participate).
When the marginal social interest diverges from the marginal private interest, the industrialist has no incentive to internalize the marginal social cost. Conversely, Pigou argues, if an industry produces a marginal social benefit, the individuals receiving the benefit have no incentive to pay for that service.
In this example, the monopoly producer charges $0.60 per nail, thus excluding every customer from the market with a marginal benefit less than $0.60. The deadweight loss due to monopoly pricing would then be the economic benefit foregone by customers with a marginal benefit of between $0.10 and $0.60 per nail.
The sum of the marginal benefits represent the aggregate willingness to pay or aggregate demand. The marginal cost is, under competitive market conditions, the supply for public goods. Hence the Samuelson condition can be thought of as a generalization of supply and demand concepts from private to public goods.