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We construct a model of the determination of public funding of education through majority voting. Households have the option of privately supplementing public education. Alternatively, they can opt out of public education completely and choose private education. We find that in general the single-crossing property cannot be used to establish existence of a majority voting equilibrium. Numerical solutions of the model reveal (i) when public education inputs and private supplements are substitutes, private school enrollment is often zero; and (ii) the funding level for public education is very sensitive to the productivity of private supplements and the elasticity of substitution between public inputs and private supplements. Copyright 2005 Blackwell Publishing Inc..

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In this paper we study whether majority voting equilibria exist when preferences over public policies are not single peaked. The government levies a proportional income tax. Tax revenue is used to finance a uniform lump-sum transfer and public education. Individuals vote on the composition of the government budget. We show that the single-crossing property cannot be invoked to establish existence of a majority voting equilibrium. In a simple parametric example we find that cycles are pervasive.

This paper develops a new semiparametric approach for the estimation of hazard functions in the presence of unobserved heterogeneity+ The hazard function is specified parametrically, whereas the distribution of the unobserved heterogeneity is indirectly estimated using the method of kernels+ The semiparametric efficiency bounds are derived+ The estimator obtains these bounds in large samples+ The authors thank

We compare a uniform voucher regime against the status quo mix of public and private education, focusing on the distribtuion of welfare gains and losses across households by income. We argue that the topping-up option available under uniform vouchers is not su¢ ciently valuable for the poorer households, so the voucher regime is defeated at the polls. Our result depends critically on the opting-out feature in the current system.We are thankful for helpful comments from Marco Basetto,

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