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In-Depth Analysis Of The Naming Game Dynamics: The Homogeneous Mixing Case

Author

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  • ANDREA BARONCHELLI

    (Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Campus Nord, Módul B4, 08034 Barcelona, Spain)

  • VITTORIO LORETO

    (Dipartimento di Fisica, Università "La Sapienza" and SMC-INFM, P. le A. Moro 2, 00185 Roma, Italy;
    Complex Networks Lagrange Laboratory, ISI Foundation, Viale S. Severo 65, 10133, Torino, Italy)

  • LUC STEELS

    (VUB AI Lab, Brussels, Belgium;
    Sony Computer Science Laboratory, Paris, France)

Abstract

Language emergence and evolution have recently gained growing attention through multi-agent models and mathematical frameworks to study their behavior. Here we investigate further the Naming Game, a model able to account for the emergence of a shared vocabulary of form-meaning associations through social/cultural learning. Due to the simplicity of both the structure of the agents and their interaction rules, the dynamics of this model can be analyzed in great detail using numerical simulations and analytical arguments. This paper first reviews some existing results and then presents a new overall understanding.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:05:n:s0129183108012522
    DOI: 10.1142/S0129183108012522
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    Citations

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    Cited by:

    1. H Peyton Young, 2014. "The Evolution of Social Norms," Economics Series Working Papers 726, University of Oxford, Department of Economics.
    2. Zachary Fulker & Patrick Forber & Rory Smead & Christoph Riedl, 2022. "Spontaneous emergence of groups and signaling diversity in dynamic networks," Papers 2210.17309, arXiv.org, revised Jan 2024.
    3. Matjaž Steinbacher & Mitja Steinbacher, 2019. "Opinion Formation with Imperfect Agents as an Evolutionary Process," Computational Economics, Springer;Society for Computational Economics, vol. 53(2), pages 479-505, February.
    4. Dirk Helbing & Anders Johansson, 2010. "Cooperation, Norms, and Revolutions: A Unified Game-Theoretical Approach," PLOS ONE, Public Library of Science, vol. 5(10), pages 1-15, October.
    5. 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.
    6. Verma, Gunjan & Swami, Ananthram & Chan, Kevin, 2014. "The impact of competing zealots on opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 310-331.

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