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Is Economics Entering its Post-Witchcraft Era?

Author

Listed:
  • Potgieter, Petrus H.
  • Rosinger, Elemér E.

Abstract

Recently, an awareness is emerging in economics about the fact that important problems are not solvable algorithmically, that is, by any finite number of steps. This statement can be made mathematically exact and this paper reviews the contributions that have been made in this regard, related to standard topics in economics.

Suggested Citation

  • Potgieter, Petrus H. & Rosinger, Elemér E., 2007. "Is Economics Entering its Post-Witchcraft Era?," MPRA Paper 3340, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:3340
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    File URL: https://mpra.ub.uni-muenchen.de/5402/1/MPRA_paper_5402.pdf
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    References listed on IDEAS

    as
    1. Rassenti, Stephen & Reynolds, Stanley S. & Smith, Vernon L. & Szidarovszky, Ferenc, 2000. "Adaptation and convergence of behavior in repeated experimental Cournot games," Journal of Economic Behavior & Organization, Elsevier, vol. 41(2), pages 117-146, February.
    2. Richter, Marcel K. & Wong, Kam-Chau, 1999. "Computable preference and utility," Journal of Mathematical Economics, Elsevier, vol. 32(3), pages 339-354, November.
    3. Bridges, Douglas S. & Richman, Fred, 1991. "A recursive counterexample to Debreu's theorem on the existence of a utility function," Mathematical Social Sciences, Elsevier, vol. 21(2), pages 179-182, April.
    4. Mihara, H. Reiju, 1999. "Arrow's theorem, countably many agents, and more visible invisible dictators1," Journal of Mathematical Economics, Elsevier, vol. 32(3), pages 267-287, November.
    5. Kam-Chau Wong & Marcel K. Richter, 1999. "Non-computability of competitive equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(1), pages 1-27.
    6. H. Reiju Mihara, 1997. "Arrow's Theorem, countably many agents, and more visible invisible dictators," Public Economics 9705001, University Library of Munich, Germany, revised 01 Jun 2004.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Computability economics; general equilibrium theory; Arrow's impossibility theorem; Debreu's theorem; Malleus Maleficiarum;
    All these keywords.

    JEL classification:

    • A11 - General Economics and Teaching - - General Economics - - - Role of Economics; Role of Economists
    • A12 - General Economics and Teaching - - General Economics - - - Relation of Economics to Other Disciplines
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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