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

Beard, Rodney (2001): A note on Rubinstein's ``Why are certain properties of binary relations relatively more common in natural language?". Unpublished.

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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.

Item Type:MPRA Paper
Language:English
Keywords:Economics of language, Binary relations, Tournaments
Subjects:C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C79 - Other
Z - Other Special Topics > Z0 - General > Z00 - General
ID Code:5795
Deposited By:Rodney Beard
Deposited On:17. Nov 2007 05:53
Last Modified:17. Nov 2007 05:53

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