A note on Rubinstein's ``Why are certain properties of binary relations relatively more common in natural language?"
AbstractThis 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  in his economic theory of language. A proof of Rubinsein's conjecture on the complexity bound of natural language tournaments is provided.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 5377.
Date of creation: 2001
Date of revision: Oct 2007
Economics of language; Game theory; Complexity;
Other versions of this item:
- Beard, Rodney, 2001. "A note on Rubinstein's ``Why are certain properties of binary relations relatively more common in natural language?"," MPRA Paper 5795, University Library of Munich, Germany, revised 16 Nov 2007.
- Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Social and Economic Stratification
- C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
This paper has been announced in the following NEP Reports:
- NEP-ALL-2007-10-27 (All new papers)
- NEP-GTH-2007-10-27 (Game Theory)
- NEP-HPE-2007-10-27 (History & Philosophy of Economics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Rubinstein, Ariel, 1996. "Why Are Certain Properties of Binary Relations Relatively More Common in Natural Language?," Econometrica, Econometric Society, vol. 64(2), pages 343-55, March.
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