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

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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 

Institution:  University of Alberta 
Original Title:  A note on Rubinstein's ``Why are certain properties of binary relations relatively more common in natural language?" 
Language:  English 
Keywords:  Economics of language; Game theory; Complexity 
Subjects:  Z  Other Special Topics > Z1  Cultural Economics; Economic Sociology; Economic Anthropology > Z13  Economic Sociology; Economic Anthropology; Social and Economic Stratification C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C79  Other 
Item ID:  5377 
Depositing User:  Rodney Beard 
Date Deposited:  19. Oct 2007 
Last Modified:  19. Feb 2013 15:47 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/5377 