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

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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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. J. Barkley Rosser Jr. (ed.), 2009. "Handbook of Research on Complexity," Books, Edward Elgar Publishing, number 3625.
    4. 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.
    5. 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.
    6. 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.
    7. K. Vela Velupillai & Ying Fang Kao, 2011. "Herbert A. Simon," ASSRU Discussion Papers 1115, ASSRU - Algorithmic Social Science Research Unit.
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