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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.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 5795.

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Date of creation: 2001
Date of revision: 16 Nov 2007
Handle: RePEc:pra:mprapa:5795

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Keywords: Economics of language; Binary relations; Tournaments;

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  1. 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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