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A fashion model with social interaction

Author

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  • Nakayama, Shoichiro
  • Nakamura, Yasuyuki

Abstract

In general, it is difficult to investigate social phenomena mathematically or quantitatively due to non-linear interactions. Statistical physics can provide powerful methods for studying social phenomena with interactions, and could be very useful for them. In this study, we take a focus on fashion as a social phenomenon with interaction. The social interaction considered here are “bandwagon effect” and “snob effect.” In the bandwagon effect, the correlation between one's behavior and others is positive. People feel fashion weary or boring when it is overly popular. This is the snob effect. It is assumed that the fashion phenomenon is formed by the aggregation of individual's binary choice, that is, the fashion is adopted or not. We formulate the fashion phenomenon as the logit model, which is based on the random utility theory in social science, especially economics. The model derived here basically has the similarity with the pioneering model by Weidlich (Phys. Rep. 204 (1991) 1), which was derived from the master equation, the Langevin equation, or the Fokker–Planck equation. This study seems to give the behavioral or behaviormetrical foundation to his model. As a result of dynamical analysis, it is found that in the case that both the bandwagon effect and the snob effect work, periodic or chaotic behavior of fashion occurs under certain conditions.

Suggested Citation

  • Nakayama, Shoichiro & Nakamura, Yasuyuki, 2004. "A fashion model with social interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(3), pages 625-634.
    • Handle: RePEc:eee:phsmap:v:337:y:2004:i:3:p:625-634
    DOI: 10.1016/j.physa.2004.01.046
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    Citations

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    Cited by:

    1. Wei-Bin Zhang, 2016. "Fashion with Snobs and Bandwagoners in a Three-Type Households and Three-Sector Neoclassical Growth Model Representación del consumo: Modelo de Crecimiento Neoclásico con Tres Factores," Remef - The Mexican Journal of Economics and Finance, Instituto Mexicano de Ejecutivos de Finanzas. Remef, June.
    2. Wei-Bin Zhang, 2017. "Fashion and Business Cycles with Snobs and Bandwagoners in a Multi-Sector Growth Model," Journal of Business, LAR Center Press, vol. 2(3), pages 1-13, May.
    3. Adrien Bernard Bonache & Marc Filser, 2013. "Comment améliorer la prévision des ventes pour le marketing ? Les apports de la théorie du chaos," Post-Print hal-03822792, HAL.
    4. Bonache, Adrien & Moris, Karen & Maurice, Jonathan, 2010. "Détection de fraudes et loi de Benford : quelques risques associés [Fraud detection and Benford's law: some linked risks]," MPRA Paper 24079, University Library of Munich, Germany.
    5. Bonache, Adrien & Moris, Karen & Maurice, Jonathan, 2009. "Risque associé à l'utilisation de la loi de Benford pour détecter les fraudes dans le secteur de la mode [Risk of Reviews based on Benford Law in the Fashion Sector]," MPRA Paper 15352, University Library of Munich, Germany.
    6. Kovács, Kármen, 2011. "Az egyszerre érvényesülő társadalmi externáliák hatásai a státusjavak keresletére [The effects on the demand for status goods exerted by single-occasion social externals]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(4), pages 314-332.
    7. Jan-Dirk Schmöcker & Tsuyoshi Hatori & David Watling, 2014. "Dynamic process model of mass effects on travel demand," Transportation, Springer, vol. 41(2), pages 279-304, March.
    8. Dilaver, Özge, 2014. "Involuntary technology adoptions: How consumer interdependencies lead to societal change," Structural Change and Economic Dynamics, Elsevier, vol. 31(C), pages 138-148.
    9. Adrien Bonache & Karen Moris, 2011. "Premières preuves empiriques de chaos dans les ventes de biens à la mode - First empirical evidence of chaos in the sales of fashion goods," Working Papers CREGO 1110602, Université de Bourgogne - CREGO EA7317 Centre de recherches en gestion des organisations.
    10. Wei-Bin Zhang, 2016. "Fashion with Snobs and Bandwagoners in a Three-Type Households and Three-Sector Neoclassical Growth Model," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 11(2), pages 1-19, Julio-Sep.
    11. Semeshenko, Viktoriya & Gordon, Mirta B. & Nadal, Jean-Pierre, 2008. "Collective states in social systems with interacting learning agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4903-4916.

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