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Memory and long-range correlations in chess games

Schaigorodsky, Ana L. and Perotti, Juan I. and Billoni, Orlando V. Memory and long-range correlations in chess games. Physica A: Statistical Mechanics and its Applications, 394. 304 - 311. ISSN 0378-4371 (2014)

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In this paper we report the existence of long-range memory in the opening moves of a chronologically ordered set of chess games using an extensive chess database. We used two mapping rules to build discrete time series and analyzed them using two methods for detecting long-range correlations; rescaled range analysis and detrended fluctuation analysis. We found that long-range memory is related to the level of the players. When the database is filtered according to player levels we found differences in the persistence of the different subsets. For high level players, correlations are stronger at long time scales; whereas in intermediate and low level players they reach the maximum value at shorter time scales. This can be interpreted as a signature of the different strategies used by players with different levels of expertise. These results are robust against the assignation rules and the method employed in the analysis of the time series.

Item Type: Article
Identification Number: 10.1016/j.physa.2013.09.035
Uncontrolled Keywords: Long-range correlations; Zipf’s law; Interdisciplinary physics
Subjects: H Social Sciences > HA Statistics
Q Science > QC Physics
Research Area: Economics and Institutional Change
Depositing User: Ms T. Iannizzi
Date Deposited: 04 Dec 2014 10:44
Last Modified: 04 Dec 2014 10:52
URI: http://eprints.imtlucca.it/id/eprint/2401

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