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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- 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.
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- A. B. Atkinson & N. H. Stern, 1974. "Pigou, Taxation and Public Goods," Review of Economic Studies, Oxford University Press, vol. 41(1), pages 119-128.
- 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;International Institute of Public Finance, vol. 7(1), pages 83-91, February.
- Peter A. Diamond & J. A. Mirrlees, 1968. "Optimal Taxation and Public Production," Working papers 22, Massachusetts Institute of Technology (MIT), Department of Economics.
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