[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/pab/wpaper/08.07.html
   My bibliography  Save this paper

Optimization in non-standard problems. An application to the provision of public inputs

Author

Listed:
  • A. Jesus Sanchez Fuentes

    (Department of Economics, Universidad Pablo de Olavide)

  • Diego Martinez Lopez

    (Department of Economics, Universidad Pablo de Olavide)

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.

Suggested Citation

  • A. Jesus Sanchez Fuentes & Diego Martinez Lopez, 2008. "Optimization in non-standard problems. An application to the provision of public inputs," Working Papers 08.07, Universidad Pablo de Olavide, Department of Economics.
    • Handle: RePEc:pab:wpaper:08.07
    as

    Download full text from publisher

    File URL: http://www.upo.es/serv/bib/wps/econ0807.pdf
    File Function: First version, 2008
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. James P. Feehan & Mutsumi Matsumoto, 2000. "Productivity‐enhancing public investment and benefit taxation: the case of factor‐augmenting public inputs," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 33(1), pages 114-121, February.
    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;International Institute of Public Finance, vol. 7(1), pages 83-91, February.
    3. 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.
    4. 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.
    5. repec:bla:jpbect:v:3:y:2001:i:4:p:431-53 is not listed on IDEAS
    6. 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.
    7. Donghoon Lee & Matthew Wiswall, 2007. "A Parallel Implementation of the Simplex Function Minimization Routine," Computational Economics, Springer;Society for Computational Economics, vol. 30(2), pages 171-187, September.
    8. Simon Benninga, 1989. "Numerical Techniques in Finance," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262521415, April.
    9. Matsumoto, Mutsumi, 1998. "A note on tax competition and public input provision," Regional Science and Urban Economics, Elsevier, vol. 28(4), pages 465-473, July.
    10. Feehan, James P, 1989. "Pareto-Efficiency with Three Varieties of Public Input," Public Finance = Finances publiques, , vol. 44(2), pages 237-248.
    11. Pestieau, Pierre, 1978. "Public intermediate goods and distortionary taxation," European Economic Review, Elsevier, vol. 7(4), pages 351-357, May.
    12. Thomas Gaube, 2007. "A note on the link between public expenditures and distortionary taxation," Economics Bulletin, AccessEcon, vol. 8(9), pages 1-10.
    13. repec:ebl:ecbull:v:8:y:2007:i:9:p:1-10 is not listed on IDEAS
    14. 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.
    15. Timothy Gronberg & Liqun Liu, 2001. "The Second‐Best Level of a Public Good: An Approach Based on the Marginal Excess Burden," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(4), pages 431-453, October.
    16. I. D. Coope & C. J. Price, 2000. "Frame Based Methods for Unconstrained Optimization," Journal of Optimization Theory and Applications, Springer, vol. 107(2), pages 261-274, November.
    17. 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.
    18. A. B. Atkinson & N. H. Stern, 1974. "Pigou, Taxation and Public Goods," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(1), pages 119-128.
    19. Panagiotis Xidonas & George Mavrotas & John Psarras, 2010. "Equity portfolio construction and selection using multiobjective mathematical programming," Journal of Global Optimization, Springer, vol. 47(2), pages 185-209, June.
    20. repec:kap:iaecre:v:11:y:2005:i:1:p:13-18 is not listed on IDEAS
    21. Carsten Colombier & Michael Pickhardt, 2005. "A Note on Public Input Specifications," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 11(1), pages 13-18, February.
    22. Dorsey, Robert E & Mayer, Walter J, 1995. "Genetic Algorithms for Estimation Problems with Multiple Optima, Nondifferentiability, and Other Irregular Features," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(1), pages 53-66, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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.
    2. 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.
    3. Diego Martinez-Lopez, 2004. "The optimal provision of public inputs in a second best scenario," Economics Bulletin, AccessEcon, vol. 8(3), pages 1-9.
    4. repec:ebl:ecbull:v:8:y:2007:i:9:p:1-10 is not listed on IDEAS
    5. Wendner, Ronald & Goulder, Lawrence H., 2008. "Status effects, public goods provision, and excess burden," Journal of Public Economics, Elsevier, vol. 92(10-11), pages 1968-1985, October.
    6. repec:ebl:ecbull:v:8:y:2004:i:3:p:1-9 is not listed on IDEAS
    7. Ming Chung Chang & Hsiao-Ping Peng & Yan-Ching Ho, 2016. "The Social Marginal Cost Curve and a Corner Solution of the Second-Best Level of Public Good Provision: A Review and an Extension," Swiss Journal of Economics and Statistics, Springer;Swiss Society of Economics and Statistics, vol. 152(3), pages 209-241, July.
    8. Wendner, Ronald, 2008. "Consumption Externalities and Pigouvian Ranking -- A Generalized Cobb-Douglas Example," MPRA Paper 8540, University Library of Munich, Germany.
    9. Ronald Wendner, 2014. "Ramsey, Pigou, Heterogeneous Agents, and Nonatmospheric Consumption Externalities," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 16(3), pages 491-521, June.
    10. Diego Martinez & Tomas Sjögren, 2009. "Can Labor Market Imperfections Cause Overprovision of Public Inputs?," Working Papers 09.13, Universidad Pablo de Olavide, Department of Economics.
    11. Wendner, Ronald, 2010. "Ramsey, Pigou, and a Consumption Externality," MPRA Paper 21356, University Library of Munich, Germany.
    12. Ming Chang & Hsiao-Ping Peng, 2012. "Laffer effect, gross substitution, marginal cost of public funds and the level property of public good provision," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 19(5), pages 650-659, October.
    13. Felix Bierbrauer, 2006. "Distortionary Taxation and the Free-Rider Problem," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2006_6, Max Planck Institute for Research on Collective Goods.
    14. Thomas Gaube, 2007. "A note on the link between public expenditures and distortionary taxation," Economics Bulletin, AccessEcon, vol. 8(9), pages 1-10.
    15. repec:ebl:ecbull:v:8:y:2006:i:4:p:1-6 is not listed on IDEAS
    16. Thomas Aronsson & Ronnie Schöb, 2022. "Habit formation and the pareto-efficient provision of public goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(3), pages 669-681, October.
    17. 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.
    18. Clive Fraser & Ali al-Nowaihi, 2006. "Comparing the first-best and second-best provision of a club good: an example," Economics Bulletin, AccessEcon, vol. 8(4), pages 1-6.
    19. Felix Bierbrauer, 2009. "Optimal Income Taxation and Public Good Provision with Endogenous Interest Groups," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(2), pages 311-342, April.
    20. José Manuel González-Páramo & Diego Martínez López, 2002. "Provisión eficiente de inversión pública financiada con impuestos distorsionantes," Economic Working Papers at Centro de Estudios Andaluces E2002/08, Centro de Estudios Andaluces.
    21. repec:grz:wpaper:2012-01 is not listed on IDEAS
    22. al-Nowaihi, Ali & Fraser, Clive D., 2007. "Is the public sector too large in an economy with club goods? A case when consumers differ in both tastes and incomes," Economic Modelling, Elsevier, vol. 24(6), pages 1018-1031, November.
    23. Lockwood, Ben, 2003. "Imperfect competition, the marginal cost of public funds and public goods supply," Journal of Public Economics, Elsevier, vol. 87(7-8), pages 1719-1746, August.
    24. al-Nowaihi, Ali & Fraser, Clive D., 2012. "Does the public sector over-provide club goods? A general result," Economics Letters, Elsevier, vol. 117(2), pages 397-400.

    More about this item

    Keywords

    direct search; constrained optimization; multisection; optimal taxation; public input.;
    All these keywords.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pab:wpaper:08.07. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Publicación Digital - UPO (email available below). General contact details of provider: https://edirc.repec.org/data/deupoes.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.