Bogazici University Economics
 

Authors: Antonio Villanacci and E. Unal Zenginobuz

Title: Private Provision of a Public Good in a General Equilibrium Model

Abstract: We analyze a general equilibrium model of a completely decen-tralized pure public good economy. Competitive …rms using private goods as inputs produce the public good, which is privately provided by households. Previous studies on private provision of public goods typically use one private good, one public good models in which the public good is produced through a constant returns to scale technol-ogy. Two distinguishing features of our model are the presence of several private goods and non-linear, in fact strictly concave, produc-tion technology for the public good.

In this more general framework we revisit the question of ”neu-trality” - or non-e¤ectiveness - of government interventions on private provision equilibrium outcomes. We con…rm the well-known neutral-ity results when all households are contributing to the provision of the public goods and the non-neutrality results when there are some non-contributing households. We also show that relative price e¤ects, which are absent with a single private good and under constant re-turns to scale technology for public good production, come to play an important role and generate new non-neutrality results. Specially, if the number of private goods is greater than one, typically there ex-ists a redistribution of endowments of the private good among non-contributors which increases the total supply of public good. More importantly, if a condition involving the number of households and private goods holds, typically there exists a choice of taxes on rms that Pareto improves upon the equilibrium outcome. Therefore, a general non-neutrality result (in terms of utilities) holds even if allhouseholds are contributors.

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