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A note on Rubinstein's ``Why are certain properties of binary relations relatively more common in natural language?"

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  • Beard, Rodney

Abstract

This note examines the complexity of complete transitive binary relations or tournaments using Kolmogorov complexity. The complexity of tournaments calculated using Kolmogorov complexity is then compared to minimally complex tournaments defined in terms of the minimal number of examples needed to describe the tournament. The latter concept is the concept of complexity employed by Rubinstein [6] in his economic theory of language. A proof of Rubinsein's conjecture on the complexity bound of natural language tournaments is provided.

Suggested Citation

  • Beard, Rodney, 2001. "A note on Rubinstein's ``Why are certain properties of binary relations relatively more common in natural language?"," MPRA Paper 5377, University Library of Munich, Germany, revised Oct 2007.
    • Handle: RePEc:pra:mprapa:5377
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    References listed on IDEAS

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    1. Rubinstein,Ariel, 2000. "Economics and Language," Cambridge Books, Cambridge University Press, number 9780521789905.
    2. 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.
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    More about this item

    Keywords

    Economics of language; Game theory; Complexity;
    All these keywords.

    JEL classification:

    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other

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