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Optimization in Non-Standard Problems. An Application to the Provision of Public Inputs

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Abstract

This paper describes a new method for solving non-standard constrained optimization problems for which standard methodologies do not work properly. Our method (the Rational Iterative Multisection -RIM- algorithm) consists of different stages that can be interpreted as different requirements of precision by obtaining the optimal solution. We have performed an application of RIM method to the case of public inputs provision. We prove that the RIM approach and comparable standard methodologies achieve the same results with regular optimization problems while the RIM algorithm takes advantage over them when facing non-standard optimization problems.
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Suggested Citation

  • A. Sanchez & Diego Martinez, 2011. "Optimization in Non-Standard Problems. An Application to the Provision of Public Inputs," Computational Economics, Springer;Society for Computational Economics, vol. 37(1), pages 13-38, January.
  • Handle: RePEc:kap:compec:v:37:y:2011:i:1:p:13-38
    DOI: 10.1007/s10614-010-9213-3
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    1. repec:ebl:ecbull:v:8:y:2007:i:9:p:1-10 is not listed on IDEAS
    2. James P. Feehan & Mutsumi Matsumoto, 2000. "Productivity-enhancing public investment and benefit taxation: the case of factor-augmenting public inputs," Canadian Journal of Economics, Canadian Economics Association, vol. 33(1), pages 114-121, February.
    3. 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.
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    5. Thomas Gaube, 2005. "Financing Public Goods with Income Taxation: Provision Rules vs. Provision Level," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 12(3), pages 319-334, May.
    6. Wilson, John Douglas, 1991. "Optimal Public Good Provision with Limited Lump-Sum Taxation," American Economic Review, American Economic Association, vol. 81(1), pages 153-166, March.
    7. 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.
    8. 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.
    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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    More about this item

    Keywords

    Direct search; Constrained optimization; Multisection; Optimal taxation; Public input; C6; H21; H3; H41; H43;

    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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