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Dynamics of buyer populations in fresh product markets

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  • Ali Ellouze
  • Bastien Fernandez

Abstract

Based on empirical evidences and previous studies, we introduce and mathematically study a perception-driven model for the dynamics of buyer populations in markets of perishable goods. Buyer behaviours are driven partly by some loyalty to the sellers that they previously purchased at, and partly by the sensitivity to the intrinsic attractiveness of each seller in the market. On the other hand, the sellers update they attractiveness in time according to the difference between the volume of their clientele and the mean volume of buyers in the market, optimising either their profit when this difference is favourable or their competitiveness otherwise. While this negative feedback mechanism is a source of instability that promotes oscillatory behaviour, our analysis identifies the critical features of the dynamics that are responsible for the asymptotic stability of the stationary states, both in their immediate neighbourhood and globally in phase space. Altogether, this study provides mathematical insights into the consequences of introducing feedback into buyer-seller interactions in such markets, with emphasis on identifying conditions for long term constancy of clientele volumes.

Suggested Citation

  • Ali Ellouze & Bastien Fernandez, 2023. "Dynamics of buyer populations in fresh product markets," Papers 2311.03987, arXiv.org, revised Jul 2024.
    • Handle: RePEc:arx:papers:2311.03987
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    1. Vignes, Annick & Etienne, Jean-Michel, 2011. "Price formation on the Marseille fish market: Evidence from a network analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 80(1), pages 50-67.
    2. Kirman, Alan P. & Vriend, Nicolaas J., 2001. "Evolving market structure: An ACE model of price dispersion and loyalty," Journal of Economic Dynamics and Control, Elsevier, vol. 25(3-4), pages 459-502, March.
    3. Mark Granovetter, 2005. "The Impact of Social Structure on Economic Outcomes," Journal of Economic Perspectives, American Economic Association, vol. 19(1), pages 33-50, Winter.
    4. Weisbuch, Gerard & Kirman, Alan & Herreiner, Dorothea, 2000. "Market Organisation and Trading Relationships," Economic Journal, Royal Economic Society, vol. 110(463), pages 411-436, April.
    5. Hardle, Wolfgang & Kirman, Alan, 1995. "Nonclassical demand : A model-free examination of price-quantity relations in the Marseille fish market," Journal of Econometrics, Elsevier, vol. 67(1), pages 227-257, May.
    6. Geertz, Clifford, 1978. "The Bazaar Economy: Information and Search in Peasant Marketing," American Economic Review, American Economic Association, vol. 68(2), pages 28-32, May.
    7. Moulet, Sonia & Rouchier, Juliette, 2008. "The influence of seller learning and time constraints on sequential bargaining in an artificial perishable goods market," Journal of Economic Dynamics and Control, Elsevier, vol. 32(7), pages 2322-2348, July.
    8. Pasquale Cirillo & Gabriele Tedeschi & Mauro Gallegati, 2012. "The Boulogne fish market: the social structure and the role of loyalty," Applied Economics Letters, Taylor & Francis Journals, vol. 19(11), pages 1075-1079, July.
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