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Fact-Free Learning

Author

Listed:
  • Enriqueta Aragones

    (Institute d'Analisi Economica, CSIC)

  • Itzhak Gilboa

    (School of Economics, Tel Aviv University)

  • Andrew Postlewaite

    (Economics, University of Pennsylvania)

  • David Schmeidler

    (School of Mathematical Sciences, Tel Aviv Univ.)

Abstract

People may be surprised by noticing certain regularities that hold in existing knowledge they have had for some time. That is, they may learn without getting new factual information. We argue that this can be partly explained by computational complexity. We show that, given a database, finding a small set of variables that obtain a certain value of R^2 is computationally hard, in the sense that this term is used in computer science. We discuss some of the implications of this result and of fact-free learning in general.

Suggested Citation

  • Enriqueta Aragones & Itzhak Gilboa & Andrew Postlewaite & David Schmeidler, 2004. "Fact-Free Learning," Cowles Foundation Discussion Papers 1491, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:1491
    as

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    File URL: http://cowles.yale.edu/sites/default/files/files/pub/d14/d1491.pdf
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    Other versions of this item:

    • Enriqueta Aragones & Itzhak Gilboa & Andrew Postlewaite & David Schmeidler, 2003. "Fact-Free Learning," PIER Working Paper Archive 05-002, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Dec 2004.
    • Enriqueta Aragones & Itzhak Gilboa & Andrew Postlewaite & David Schmeidler, 2003. "Fact-Free Learning," PIER Working Paper Archive 03-023, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    • Itzhak Gilboa & Enriqueta Aragones & Andrew Postlewaite & David Schmeidler, 2005. "Fact-Free Learning," Post-Print hal-00481243, HAL.

    References listed on IDEAS

    as
    1. La Porta, Rafael & Lopez-de-Silanes, Florencio & Shleifer, Andrei & Vishny, Robert, 1999. "The Quality of Government," Journal of Law, Economics, and Organization, Oxford University Press, vol. 15(1), pages 222-279, April.
    2. Herbert A. Simon, 1955. "A Behavioral Model of Rational Choice," The Quarterly Journal of Economics, Oxford University Press, vol. 69(1), pages 99-118.
    3. Luca Anderlini & Leonardo Felli, 1994. "Incomplete Written Contracts: Undescribable States of Nature," The Quarterly Journal of Economics, Oxford University Press, vol. 109(4), pages 1085-1124.
    4. Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-577, May.
    5. Gilboa,Itzhak & Schmeidler,David, 2001. "A Theory of Case-Based Decisions," Cambridge Books, Cambridge University Press, number 9780521802345, December.
    6. Itzhak Gilboa, 1990. "Philosophical Applications of Kolmogorov's Complexity Measure," Discussion Papers 923, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    7. Aragones, Enriqueta & Gilboa, Itzhak & Postlewaite, Andrew & Schmeidler, David, 2014. "Rhetoric and analogies," Research in Economics, Elsevier, vol. 68(1), pages 1-10.
    8. Dekel, Eddie & Lipman, Barton L. & Rustichini, Aldo, 1998. "Recent developments in modeling unforeseen contingencies," European Economic Review, Elsevier, vol. 42(3-5), pages 523-542, May.
    9. Dekel, Eddie & Lipman, Barton L & Rustichini, Aldo, 2001. "Representing Preferences with a Unique Subjective State Space," Econometrica, Econometric Society, vol. 69(4), pages 891-934, July.
    10. Bray, Margaret M & Savin, Nathan E, 1986. "Rational Expectations Equilibria, Learning, and Model Specification," Econometrica, Econometric Society, vol. 54(5), pages 1129-1160, September.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Computational complexity; Linear regression; Rule-based reasoning;

    JEL classification:

    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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