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Innovation and nested preferential growth in chess playing behavior

Perotti, Juan I. and Jo, Hang-Hyun and Schaigorodsky, Ana L. and Billoni, Orlando V. Innovation and nested preferential growth in chess playing behavior. EPL (Europhysics Letters), 104 (4). p. 48005. ISSN 0295-5075 (2013)

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Complexity develops via the incorporation of innovative properties. Chess is one of the most complex strategy games, where expert contenders exercise decision making by imitating old games or introducing innovations. In this work, we study innovation in chess by analyzing how different move sequences are played at the population level. It is found that the probability of exploring a new or innovative move decreases as a power law with the frequency of the preceding move sequence. Chess players also exploit already known move sequences according to their frequencies, following a preferential growth mechanism. Furthermore, innovation in chess exhibits Heaps' law suggesting similarities with the process of vocabulary growth. We propose a robust generative mechanism based on nested Yule-Simon preferential growth processes that reproduces the empirical observations. These results, supporting the self-similar nature of innovations in chess are important in the context of decision making in a competitive scenario, and extend the scope of relevant findings recently discovered regarding the emergence of Zipf's law in chess.

Item Type: Article
Identification Number: 10.1209/0295-5075/104/48005
Uncontrolled Keywords: PAC number(s): 89.75.-k Complex systems; 89.75.Hc Networks and genealogical trees; 89.75.Da Systems obeying scaling laws
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 10:56
Last Modified: 04 Dec 2014 10:56
URI: http://eprints.imtlucca.it/id/eprint/2402

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