A new approach to solve non-regular constrained optimization problems. An application to optimal provision of public inputs
This paper describes a new method for solving non-regular constrained optimization problems when standard methodologies do not work properly. Our method (the Rational Iterative Multisection Procedure, RIMP) consists of different stages that can be interpreted as different requirements of precision by obtaining the optimal solution. We have performed an application of RIMP to the case of public inputs provision under two tax settings. We prove that the RIMP and the standard Newton-Raphson (NR) method achieve the same results with regular optimization problems while the RIMP takes advantage over NR when facing non-regular optimization problems.
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- Sandmo, Agnar, 1972. "Optimality rules for the provision of collective factors of production," Journal of Public Economics, Elsevier, vol. 1(1), pages 149-157, April.
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- Ming Chang, 2000. "Rules and Levels in the Provision of Public Goods: The Role of Complementarities between the public Good and Taxed Commodities," International Tax and Public Finance, Springer, vol. 7(1), pages 83-91, February.
- Diego Martinez Lopez & A. Jesus Sanchez Fuentes, 2006. "On the optimal level of public inputs," Working Papers 06.34, Universidad Pablo de Olavide, Department of Economics, revised Mar 2008.
- James P. Feehan, 2002. "Distortionary Taxation and Optimal Public Spending on Productive Activities," Economic Inquiry, Western Economic Association International, vol. 40(1), pages 60-68, January.
- Gaube, Thomas, 2000. "When do distortionary taxes reduce the optimal supply of public goods?," Journal of Public Economics, Elsevier, vol. 76(2), pages 151-180, May.
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