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A new approach to solve non-regular constrained optimization problems. An application to optimal provision of public inputs

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Author Info
A. Jesus Sanchez Fuentes () (Department of Economics, Universidad Pablo de Olavide)
Diego Martinez Lopez () (Centro de Estudios Andaluces and Department of Economics, Universidad Pablo de Olavide)

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Abstract

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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File URL: http://www.upo.es/serv/bib/wps/econ0635.pdf
File Format: application/pdf
File Function: First version, 2006
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Publisher Info
Paper provided by Universidad Pablo de Olavide, Departamento de Economía in its series Working Papers with number 06.35.

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Length: 27 pages
Date of creation: Dec 2006
Date of revision:
Handle: RePEc:pab:wpaper:06.35

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Related research
Keywords: numerical analysis constrained optimization multisection optimal taxation public input.

Find related papers by JEL classification:
C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming
H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
H3 - Public Economics - - Fiscal Policies and Behavior of Economic Agents
H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
H43 - Public Economics - - Publicly Provided Goods - - - Project Evaluation; Social Discount Rate

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Atkinson, Anthony B & Stern, N H, 1974. "Pigou, Taxation and Public Goods," Review of Economic Studies, Blackwell Publishing, vol. 41(1), pages 119-28, January. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. James P. Feehan, 2002. "Distortionary Taxation and Optimal Public Spending on Productive Activities," Economic Inquiry, Oxford University Press, vol. 40(1), pages 60-68, January.
  4. 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. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. Diego Martinez Lopez & A. Jesus Sanchez Fuentes, 2006. "On the optimal level of public inputs," Working Papers 06.34, Universidad Pablo de Olavide, Departamento de Economía, revised Mar 2008. [Downloadable!]
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Diego Martinez Lopez & A. Jesus Sanchez Fuentes, 2006. "On the optimal level of public inputs," Working Papers 06.34, Universidad Pablo de Olavide, Departamento de Economía, revised Mar 2008. [Downloadable!]
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