Memory and long-range correlations in chess games
Fil: Schaigorodsky, Ana L. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
| Main Authors: | , , |
|---|---|
| Format: | submittedVersion |
| Language: | eng |
| Published: |
2022
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/11086/28101 https://doi.org/10.48550/arXiv.1307.0729 |
| _version_ | 1801211860940226560 |
|---|---|
| author | Schaigorodsky, Ana L. Perotti, Juan I. Billoni, Orlando V. |
| author_facet | Schaigorodsky, Ana L. Perotti, Juan I. Billoni, Orlando V. |
| author_sort | Schaigorodsky, Ana L. |
| collection | Repositorio Digital Universitario |
| description | Fil: Schaigorodsky, Ana L. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. |
| format | submittedVersion |
| id | rdu-unc.28101 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2022 |
| record_format | dspace |
| spelling | rdu-unc.281012022-10-13T11:07:56Z Memory and long-range correlations in chess games Schaigorodsky, Ana L. Perotti, Juan I. Billoni, Orlando V. Long-range correlations Zipfs law Interdisciplinary physics submittedVersion Fil: Schaigorodsky, Ana L. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Billoni, Orlando V. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Billoni, Orlando V. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Fil: Billoni, Orlando V. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Fil: Perotti, Juan I. Aalto University. Department of Biomedical Engineering and Computational Science, Aalto University; Finland. 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. submittedVersion Fil: Schaigorodsky, Ana L. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Billoni, Orlando V. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Billoni, Orlando V. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Fil: Billoni, Orlando V. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Fil: Perotti, Juan I. Aalto University. Department of Biomedical Engineering and Computational Science, Aalto University; Finland. Otras Ciencias Físicas 2022-08-09T20:27:11Z 2022-08-09T20:27:11Z 2014 article http://hdl.handle.net/11086/28101 https://doi.org/10.48550/arXiv.1307.0729 eng https://doi.org/10.1016/j.physa.2013.09.035 Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ Impreso; Electrónico y/o Digital ISSN: 0378-4371 |
| spellingShingle | Long-range correlations Zipfs law Interdisciplinary physics Schaigorodsky, Ana L. Perotti, Juan I. Billoni, Orlando V. Memory and long-range correlations in chess games |
| title | Memory and long-range correlations in chess games |
| title_full | Memory and long-range correlations in chess games |
| title_fullStr | Memory and long-range correlations in chess games |
| title_full_unstemmed | Memory and long-range correlations in chess games |
| title_short | Memory and long-range correlations in chess games |
| title_sort | memory and long range correlations in chess games |
| topic | Long-range correlations Zipfs law Interdisciplinary physics |
| url | http://hdl.handle.net/11086/28101 https://doi.org/10.48550/arXiv.1307.0729 |
| work_keys_str_mv | AT schaigorodskyanal memoryandlongrangecorrelationsinchessgames AT perottijuani memoryandlongrangecorrelationsinchessgames AT billoniorlandov memoryandlongrangecorrelationsinchessgames |