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Spatial competition and price discrimination with capacity constraints

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  • Hunold, Matthias
  • Muthers, Johannes
Abstract
We characterize mixed-strategy equilibria when capacity-constrained suppliers can charge location-based prices to different customers. We establish an equilibrium with prices that weakly increase in the costs of supplying a customer. Despite prices above costs and excess capacities, each supplier exclusively serves its home market in equilibrium. Competition yields volatile market shares and an inefficient allocation of customers to firms. Even ex-post cross-supplies may restore efficiency only partly. We show that consumers may benefit from price discrimination whereas the firms make the same profits as with uniform pricing. We use our findings to discuss recent competition policy cases and provide hints for a more refined coordinated-effects analysis.

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  • Hunold, Matthias & Muthers, Johannes, 2019. "Spatial competition and price discrimination with capacity constraints," International Journal of Industrial Organization, Elsevier, vol. 67(C).
    • Handle: RePEc:eee:indorg:v:67:y:2019:i:c:s0167718719300463
    DOI: 10.1016/j.ijindorg.2019.102524
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    Cited by:

    1. Matthias Hunold & Kai Hüschelrath & Ulrich Laitenberger & Johannes Muthers, 2020. "Competition, Collusion, and Spatial Sales Patterns: Theory and Evidence," Journal of Industrial Economics, Wiley Blackwell, vol. 68(4), pages 737-779, December.
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    3. Edwards, Robert A. & Routledge, Robert R., 2022. "Information, Bertrand–Edgeworth competition and the law of one price," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    4. Hunold, Matthias & Muthers, Johannes, 2019. "Spatial competition and price discrimination with capacity constraints," International Journal of Industrial Organization, Elsevier, vol. 67(C).
    5. Robert Somogyi, 2024. "Monopoly pricing with dual‐capacity constraints," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 33(1), pages 155-174, January.
    6. Qiang Chen & Anush Balian & Mykola Kyzym & Tetiana Salashenko & Inna Gryshova & Viktoriia Khaustova, 2021. "Electricity Markets Instability: Causes of Price Dispersion," Sustainability, MDPI, vol. 13(22), pages 1-19, November.
    7. Heywood, John S. & Luo, Qiming & Ye, Guangliang, 2023. "Spatial price discrimination with a ‘must-have’ component," Regional Science and Urban Economics, Elsevier, vol. 103(C).
    8. Somogyi, Robert, 2020. "Bertrand–Edgeworth competition with substantial horizontal product differentiation," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 27-37.

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    More about this item

    Keywords

    Bertrand–Edgeworth; Capacity constraints; Inefficient competition; Spatial price discrimination; Subcontracting; Transport costs;
    All these keywords.

    JEL classification:

    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L41 - Industrial Organization - - Antitrust Issues and Policies - - - Monopolization; Horizontal Anticompetitive Practices
    • L61 - Industrial Organization - - Industry Studies: Manufacturing - - - Metals and Metal Products; Cement; Glass; Ceramics

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