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Herding Prices: Social Learning and Dynamic Competition in Duopoly

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  • Georgy Lukyanov
  • Ariza Azova

Abstract

We embed observational learning (BHW) in a symmetric duopoly with random arrivals and search frictions. With fixed posted prices, a mixed-strategy pricing equilibrium exists and yields price dispersion even with ex-ante identical firms. We provide closed-form cascade bands and show wrong cascades occur with positive probability for interior parameters, vanishing as signals become precise or search costs fall; absorption probabilities are invariant to the arrival rate. In equilibrium, the support of mixed prices is connected and overlapping; its width shrinks with signal precision and expands with search costs, and mean prices comove accordingly. Under Calvo price resets (Poisson opportunities), stationary dispersion and mean prices fall; when signals are sufficiently informative, wrong-cascade risk also declines. On welfare, a state-contingent Pigouvian search subsidy implements the planner's cutoff. Prominence (biased first visits) softens competition and depresses welfare; neutral prominence is ex-ante optimal.

Suggested Citation

  • Georgy Lukyanov & Ariza Azova, 2025. "Herding Prices: Social Learning and Dynamic Competition in Duopoly," Papers 2509.01263, arXiv.org, revised Sep 2025.
  • Handle: RePEc:arx:papers:2509.01263
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    References listed on IDEAS

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    1. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
    2. Georgy Lukyanov, 2025. "Social Learning from Experts with Uncertain Precision," Papers 2509.01264, arXiv.org, revised Sep 2025.
    3. Georgy Lukyanov & Konstantin Popov & Shubh Lashkery, 2025. "Self-Employment as a Signal: Career Concerns with Hidden Firm Performance," Papers 2509.01265, arXiv.org, revised Sep 2025.
    4. Abhijit V. Banerjee, 1992. "A Simple Model of Herd Behavior," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(3), pages 797-817.
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