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Multi-language naming game

Author

Listed:
  • Zhou, Jianfeng
  • Lou, Yang
  • Chen, Guanrong
  • Tang, Wallace K.S.

Abstract

Naming game is a simulation-based experiment used to study the evolution of languages. The conventional naming game focuses on a single language. In this paper, a novel naming game model named multi-language naming game (MLNG) is proposed, where the agents are different-language speakers who cannot communicate with each other without a translator (interpreter) in between. The MLNG model is general, capable of managing k different languages with k≥ 2. For illustration, the paper only discusses the MLNG with two different languages, and studies five representative network topologies, namely random-graph, WS small-world, NW small-world, scale-free, and random-triangle topologies. Simulation and analysis results both show that: 1) using the network features and based on the proportion of translators the probability of establishing a conversation between two or three agents can be theoretically estimated; 2) the relationship between the convergence speed and the proportion of translators has a power-law-like relation; 3) different agents require different memory sizes, thus a local memory allocation rule is recommended for saving memory resources. The new model and new findings should be useful for further studies of naming games and for better understanding of languages evolution from a dynamical network perspective.

Suggested Citation

  • Zhou, Jianfeng & Lou, Yang & Chen, Guanrong & Tang, Wallace K.S., 2018. "Multi-language naming game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 620-634.
    • Handle: RePEc:eee:phsmap:v:496:y:2018:i:c:p:620-634
    DOI: 10.1016/j.physa.2017.12.124
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    References listed on IDEAS

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    1. Lou, Yang & Chen, Guanrong & Hu, Jianwei, 2018. "Communicating with sentences: A multi-word naming game model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 857-868.
    2. M. E. J. Newman & D. J. Watts, 1999. "Renormalization Group Analysis of the Small-World Network Model," Working Papers 99-04-029, Santa Fe Institute.
    3. W. X. Wang & B. Y. Lin & C. L. Tang & G. R. Chen, 2007. "Agreement dynamics of finite-memory language games on networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 60(4), pages 529-536, December.
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    5. Lou, Yang & Chen, Guanrong & Fan, Zhengping & Xiang, Luna, 2018. "Local communities obstruct global consensus: Naming game on multi-local-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1741-1752.
    6. Filippo Palombi & Simona Toti, 2017. "Topological Aspects of the Multi-Language Phases of the Naming Game on Community-Based Networks," Games, MDPI, vol. 8(1), pages 1-35, February.
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    Cited by:

    1. Fan, Zhong-Yan & Lai, Ying-Cheng & Tang, Wallace Kit-Sang, 2020. "Likelihood category game model for knowledge consensus," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).

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