IDEAS home Printed from https://ideas.repec.org/p/trn/utwpas/1103.html
   My bibliography  Save this paper

On Exact and Approximate Solutions for Hard Problems: An Alternative Look

Author

Listed:
  • R. S. Bartholo
  • C. A. Cosenza
  • F. A. Doria
  • M. Doria
  • A. Teixeira

Abstract

We discuss in an informal, general audience style the da Costa-Doria conjecture about the independence of the P = NP hypothesis and try to briefly assess its impact on practical situations in economics. The paper concludes with a discussion of the Coppe-Cosenza procedure, which is an approximate, partly heuristic algorithm for allocation problems.

Suggested Citation

  • R. S. Bartholo & C. A. Cosenza & F. A. Doria & M. Doria & A. Teixeira, 2011. "On Exact and Approximate Solutions for Hard Problems: An Alternative Look," ASSRU Discussion Papers 1103, ASSRU - Algorithmic Social Science Research Unit.
  • Handle: RePEc:trn:utwpas:1103
    as

    Download full text from publisher

    File URL: http://www.assru.economia.unitn.it/files/DP_03_2011.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. J. Barkley Rosser Jr. (ed.), 2009. "Handbook of Research on Complexity," Books, Edward Elgar Publishing, number 3625.
    2. K. Vela Velupillai, 2007. "A Computable Economist�s Perspective on Computational Complexity," Department of Economics Working Papers 0723, Department of Economics, University of Trento, Italia.
    3. Tjalling C. Koopmans & Martin J. Beckmann, 1955. "Assignment Problems and the Location of Economic Activities," Cowles Foundation Discussion Papers 4, Cowles Foundation for Research in Economics, Yale University.
    4. Richard Baron & Jacques Durieu & Hans Haller & Philippe Solal, 2004. "Finding a Nash equilibrium in spatial games is an NP-complete problem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(2), pages 445-454, January.
    5. K. Vela Velupillai & Ying Fang Kao, 2011. "Herbert A. Simon," ASSRU Discussion Papers 1115, ASSRU - Algorithmic Social Science Research Unit.
    6. Bartholo, R.S. & Cosenza, C.A.N. & Doria, F.A. & de Lessa, C.T.R., 2009. "Can economic systems be seen as computing devices?," Journal of Economic Behavior & Organization, Elsevier, vol. 70(1-2), pages 72-80, May.
    7. Xiaotie Deng & Christos H. Papadimitriou, 1994. "On the Complexity of Cooperative Solution Concepts," Mathematics of Operations Research, INFORMS, vol. 19(2), pages 257-266, May.
    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. Selda (Ying Fang) Kao & K. Vela Velupillai, 2011. "Behavioural Economics: Classical and Modern," ASSRU Discussion Papers 1126, ASSRU - Algorithmic Social Science Research Unit.
    2. K. Vela Velupillai, 2011. "Remembering Clower," ASSRU Discussion Papers 1121, ASSRU - Algorithmic Social Science Research Unit.
    3. Koppl, Roger, 2010. "Some epistemological implications of economic complexity," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 859-872, December.
    4. Richard Holt & J. Barkley Rosser & David Colander, 2011. "The Complexity Era in Economics," Review of Political Economy, Taylor & Francis Journals, vol. 23(3), pages 357-369.
    5. K. Vela Velupillai, 2011. "Computable and Dynamical Systems Foundations of Bounded Rationality and Satisficing," ASSRU Discussion Papers 1116, ASSRU - Algorithmic Social Science Research Unit.
    6. K.Vela Velupillai, 2012. "The Epistemology of Simulation, Computation and Dynamics in Economics," ASSRU Discussion Papers 1218, ASSRU - Algorithmic Social Science Research Unit.
    7. Ron Boschma & Ron Martin, 2010. "The Aims and Scope of Evolutionary Economic Geography," Chapters, in: Ron Boschma & Ron Martin (ed.), The Handbook of Evolutionary Economic Geography, chapter 1, Edward Elgar Publishing.
    8. Martí Jané Ballarín, 2023. "The complexity of power indices in voting games with incompatible players," UB School of Economics Working Papers 2023/441, University of Barcelona School of Economics.
    9. Witte, Björn-Christopher, 2012. "Fund managers - Why the best might be the worst: On the evolutionary vigor of risk-seeking behavior," Economics Discussion Papers 2012-20, Kiel Institute for the World Economy (IfW Kiel).
    10. Jackie Krafft & Francesco Quatraro, 2011. "The Dynamics of Technological Knowledge: From Linearity to Recombination," Chapters, in: Cristiano Antonelli (ed.), Handbook on the Economic Complexity of Technological Change, chapter 7, Edward Elgar Publishing.
    11. Csóka, Péter & Illés, Ferenc & Solymosi, Tamás, 2022. "On the Shapley value of liability games," European Journal of Operational Research, Elsevier, vol. 300(1), pages 378-386.
    12. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2022. "On the axiomatic approach to sharing the revenues from broadcasting sports leagues," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 321-347, February.
    13. Briec, Walter & Mussard, Stéphane, 2014. "Efficient firm groups: Allocative efficiency in cooperative games," European Journal of Operational Research, Elsevier, vol. 239(1), pages 286-296.
    14. Hommes, Cars & Lux, Thomas, 2013. "Individual Expectations And Aggregate Behavior In Learning-To-Forecast Experiments," Macroeconomic Dynamics, Cambridge University Press, vol. 17(2), pages 373-401, March.
    15. Zibo Xu, 2013. "The instability of backward induction in evolutionary dynamics," Discussion Paper Series dp633, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    16. Michel Grabisch & Agnieszka Rusinowska, 2020. "k -additive upper approximation of TU-games," PSE-Ecole d'économie de Paris (Postprint) halshs-02860802, HAL.
    17. Meinhardt, Holger Ingmar, 2021. "Disentangle the Florentine Families Network by the Pre-Kernel," MPRA Paper 106482, University Library of Munich, Germany.
    18. F. Cavalli & A. Naimzada & M. Pireddu, 2017. "An evolutive financial market model with animal spirits: imitation and endogenous beliefs," Journal of Evolutionary Economics, Springer, vol. 27(5), pages 1007-1040, November.
    19. Reitz, Stefan & Rülke, Jan-Christoph & Stadtmann, Georg, 2012. "Nonlinear expectations in speculative markets – Evidence from the ECB survey of professional forecasters," Journal of Economic Dynamics and Control, Elsevier, vol. 36(9), pages 1349-1363.
    20. J. Barkley Rosser & Marina V. Rosser, 2017. "Complexity and institutional evolution," Evolutionary and Institutional Economics Review, Springer, vol. 14(2), pages 415-430, December.

    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:trn:utwpas:1103. 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: assru.tm@gmail.com (email available below). General contact details of provider: https://edirc.repec.org/data/detreit.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.