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

Author

Listed:
  • 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)

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.

Suggested Citation

  • A. Jesus Sanchez Fuentes & Diego Martinez Lopez, 2006. "A new approach to solve non-regular constrained optimization problems. An application to optimal provision of public inputs," Working Papers 06.35, Universidad Pablo de Olavide, Department of Economics.
  • Handle: RePEc:pab:wpaper:06.35
    as

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    File URL: http://www.upo.es/serv/bib/wps/econ0635.pdf
    File Function: First version, 2006
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. Feehan, James P, 1989. "Pareto-Efficiency with Three Varieties of Public Input," Public Finance = Finances publiques, , vol. 44(2), pages 237-248.
    5. Pestieau, Pierre, 1978. "Public intermediate goods and distortionary taxation," European Economic Review, Elsevier, vol. 7(4), pages 351-357, May.
    6. Peter A. Diamond & J. A. Mirrlees, 1968. "Optimal Taxation and Public Production," Working papers 22, Massachusetts Institute of Technology (MIT), Department of Economics.
    7. 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.
    8. 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.
    9. 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.
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    Cited by:

    1. 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.

    More about this item

    Keywords

    numerical analysis; constrained optimization; multisection; optimal taxation; public input.;

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • 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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