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A Learning-Efficiency Explanation of Structure in Language

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  • Andreas Blume

Abstract

This paper proposes a learning-efficiency explanation of modular structure in language. An optimal grammar arises as the solution to the problem of learning a language from a minimal number of observations of instances of the use of the language. Agents face symmetry constraints that limit their ability to make a priori distinctions among symbols used in the language and among objects (interpreted as facts, events, speaker’s intentions) that are to be represented by messages in the language. It is shown that if it is commonly known that the object space is modular and messages are strings, then modularity of the language is sufficient and (essentially) necessary for learning efficiency. Journal of Economic Literature Classification Number: C72. Copyright Springer 2004

Suggested Citation

  • Andreas Blume, 2004. "A Learning-Efficiency Explanation of Structure in Language," Theory and Decision, Springer, vol. 57(3), pages 265-285, November.
    • Handle: RePEc:kap:theord:v:57:y:2004:i:3:p:265-285
    DOI: 10.1007/s11238-005-0280-1
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    References listed on IDEAS

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    1. Kalai, Gil, 2003. "Learnability and rationality of choice," Journal of Economic Theory, Elsevier, vol. 113(1), pages 104-117, November.
    2. Jordan, J. S., 1982. "The competitive allocation process is informationally efficient uniquely," Journal of Economic Theory, Elsevier, vol. 28(1), pages 1-18, October.
    3. Rubinstein, Ariel, 1996. "Why Are Certain Properties of Binary Relations Relatively More Common in Natural Language?," Econometrica, Econometric Society, vol. 64(2), pages 343-355, March.
    4. Mount, Kenneth & Reiter, Stanley, 1974. "The informational size of message spaces," Journal of Economic Theory, Elsevier, vol. 8(2), pages 161-192, June.
    5. Blume, Andreas & Gneezy, Uri, 2000. "An Experimental Investigation of Optimal Learning in Coordination Games," Journal of Economic Theory, Elsevier, vol. 90(1), pages 161-172, January.
    6. Blume, Andreas, 2000. "Coordination and Learning with a Partial Language," Journal of Economic Theory, Elsevier, vol. 95(1), pages 1-36, November.
    7. Crawford, Vincent P & Haller, Hans, 1990. "Learning How to Cooperate: Optimal Play in Repeated Coordination Games," Econometrica, Econometric Society, vol. 58(3), pages 571-595, May.
    8. Hurwicz, Leonid, 1969. "On the Concept and Possibility of Informational Decentralization," American Economic Review, American Economic Association, vol. 59(2), pages 513-524, May.
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    Cited by:

    1. Bauch, Gerrit, 2021. "Effects of Noise on the Grammar of Languages," Center for Mathematical Economics Working Papers 655, Center for Mathematical Economics, Bielefeld University.
    2. Blume, Andreas & Noussair, Charles N. & Ye, Bohan, 2024. "Fragile meaning - an experiment," Journal of Economic Theory, Elsevier, vol. 216(C).
    3. Suzuki, Toru, 2020. "Efficient communication and indexicality," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 156-165.

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    More about this item

    Keywords

    grammar; language; learning; mechanism design;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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