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Communicating with sentences: A multi-word naming game model

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  • Lou, Yang
  • Chen, Guanrong
  • Hu, Jianwei

Abstract

Naming game simulates the process of naming an object by a single word, in which a population of communicating agents can reach global consensus asymptotically through iteratively pair-wise conversations. We propose an extension of the single-word model to a multi-word naming game (MWNG), simulating the case of describing a complex object by a sentence (multiple words). Words are defined in categories, and then organized as sentences by combining them from different categories. We refer to a formatted combination of several words as a pattern. In such an MWNG, through a pair-wise conversation, it requires the hearer to achieve consensus with the speaker with respect to both every single word in the sentence as well as the sentence pattern, so as to guarantee the correct meaning of the saying; otherwise, they fail reaching consensus in the interaction. We validate the model in three typical topologies as the underlying communication network, and employ both conventional and man-designed patterns in performing the MWNG.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:857-868
    DOI: 10.1016/j.physa.2017.08.066
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    References listed on IDEAS

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    1. Liu, Run-Ran & Jia, Chun-Xiao & Yang, Han-Xin & Wang, Bing-Hong, 2009. "Naming game on small-world networks with geographical effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3615-3620.
    2. 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.
    3. Fu, Guiyuan & Cai, Yunze & Zhang, Weidong, 2017. "Analysis of naming game over networks in the presence of memory loss," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 350-361.
    4. Qiming Lu & G. Korniss & Boleslaw Szymanski, 2009. "The Naming Game in social networks: community formation and consensus engineering," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 4(2), pages 221-235, November.
    5. Andrea Baronchelli & Vittorio Loreto & Luc Steels, 2008. "In-Depth Analysis Of The Naming Game Dynamics: The Homogeneous Mixing Case," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(05), pages 785-812.
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    Cited by:

    1. 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.
    2. 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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