Asymptotic properties of restricted naming games

Biplab Bhattacherjee, Amitava Datta and S.S. Manna

Physica A: Statistical Mechanics and its Applications, 2017, vol. 478, issue C, 177-187

Abstract: Asymptotic properties of the symmetric and asymmetric naming games have been studied under some restrictions in a community of agents. In one version, the vocabulary sizes of the agents are restricted to finite capacities. In this case, compared to the original naming games, the dynamics takes much longer time for achieving the consensus. In the second version, the symmetric game starts with a limited number of distinct names distributed among the agents. Three different quantities are measured for a quantitative comparison, namely, the maximum value of the total number of names in the community, the time at which the community attains the maximal number of names, and the global convergence time. Using an extensive numerical study, the entire set of three power law exponents characterizing these quantities are estimated for both the versions which are observed to be distinctly different from their counter parts of the original naming games.

Keywords: Naming games; Self-organized systems; Scaling; Critical exponents; Structures and organization in complex systems; Critical phenomena (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:478:y:2017:i:c:p:177-187

DOI: 10.1016/j.physa.2017.02.070

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