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Millian Efficiency with Endogenous Fertility

  • J. Ignacio Conde-Ruiz
  • Eduardo L. Giménez
  • Mikel Pérez-Nievas

This paper studies an extension of the notion of Pareto eciency, referred to as Millian eciency, to evaluate the performance of symmetric allocations in an overlapping generations setting with endogenous fertility. The criterium of Pareto dominance underlying the notion of Millian eciency is based exclusively on preferences of those agents who are actually born, and allows only for welfare comparisons of symmetric allocations (i.e, allocations in which all living individuals of the same generation take the same decisions). The main contributions of the paper are the following. First, we provide necessary (static) and sucient (dynamic) conditions to determine whether an allocation is Millian ecient or not, and we show that the sucient conditions for dynamic eciency oered by Cass (1972) and Balasko and Shell (1980) cannot be straightforward applied when fertility is endogenous. Second, we extend the two Fundamental Theorems of Welfare Economics to a framework with endogenous population by characterizing Millian ecient allocations as the equilibria of a decentralized price mechanism. Finally, we discuss alternative extensions of the Pareto criterium that strengthen the Millian notion.

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Paper provided by FEDEA in its series Working Papers with number 2004-13.

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Handle: RePEc:fda:fdaddt:2004-13
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  13. Eckstein, Zvi & Stern, Steven & Wolpin, Kenneth I, 1988. "Fertility Choice, Land, and the Malthusian Hypothesis," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(2), pages 353-61, May.
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  17. Nerlove, Marc & Razin, Assaf & Sadka, Efraim, 1985. "Population Size: Individual Choice and Social Optima," The Quarterly Journal of Economics, MIT Press, vol. 100(2), pages 321-34, May.
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  29. Philippe Michel & Bertrand Wigniolle, 2007. "On Efficient Child Making," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00185259, HAL.
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