The welfare of an individual depends not only on his own income but also on his income relative to that of others. A private good that he consumes yields him (intrinsic consumption and relative-income) utilities, but also imposes external costs on others through the relative-income effects. Expenditure on public goods not only produces intrinsic consumption utilities but also indirect relative-income utilities by reducing private expenditure. Since this indirect effect is unlikely to be adequately accounted for, the "optimal" level of public expenditure estimated by the conventional SMRS 3 MRT is really suboptimal.
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Yew‐Kwang Ng (1987) studied this question.
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