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Spatial Price Discrimination with Heterogeneous Firms

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  • Jonathan Vogel

Abstract

In this paper we present and solve a three-stage game of entry, location, and pricing in a spatial price discrimination framework with arbitrarily many heterogeneous firms. We provide a unique characterization of all equilibria without imposing restrictions on the distribution of marginal costs.

Suggested Citation

  • Jonathan Vogel, 2009. "Spatial Price Discrimination with Heterogeneous Firms," NBER Working Papers 14978, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:14978
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    1. Jonathan H. Hamilton & W. Bentley MacLeod & Jacques-François Thisse, 1991. "Spatial Competition and the Core," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(3), pages 925-937.
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    4. Chad Syverson, 2004. "Market Structure and Productivity: A Concrete Example," Journal of Political Economy, University of Chicago Press, vol. 112(6), pages 1181-1222, December.
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    6. Marco Alderighi & Claudio A. Piga, 2008. "The Circular City with Heterogenous Firms," Working Paper series 16_08, Rimini Centre for Economic Analysis.
    7. Edgar M. Hoover, 1937. "Spatial Price Discrimination," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 4(3), pages 182-191.
    8. Lederer, Phillip J & Hurter, Arthur P, Jr, 1986. "Competition of Firms: Discriminatory Pricing and Location," Econometrica, Econometric Society, vol. 54(3), pages 623-640, May.
    9. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    10. Mark Doms & Eric J. Bartelsman, 2000. "Understanding Productivity: Lessons from Longitudinal Microdata," Journal of Economic Literature, American Economic Association, vol. 38(3), pages 569-594, September.
    11. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    12. Economides, Nicholas, 1989. "Symmetric equilibrium existence and optimality in differentiated product markets," Journal of Economic Theory, Elsevier, vol. 47(1), pages 178-194, February.
    13. Hopenhayn, Hugo A, 1992. "Entry, Exit, and Firm Dynamics in Long Run Equilibrium," Econometrica, Econometric Society, vol. 60(5), pages 1127-1150, September.
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    Cited by:

    1. McMullen, Jeffery S. & Bergman, Brian J., 2018. "The promise and problems of price subsidization in social entrepreneurship," Business Horizons, Elsevier, vol. 61(4), pages 609-621.
    2. Ahmadi-Javid, Amir & Amiri, Elahe & Meskar, Mahla, 2018. "A Profit-Maximization Location-Routing-Pricing Problem: A Branch-and-Price Algorithm," European Journal of Operational Research, Elsevier, vol. 271(3), pages 866-881.
    3. Carlo Reggiani, 2014. "Spatial Price Discrimination in the Spokes Model," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 23(3), pages 628-649, September.
    4. Ziying Yang & Félix Muñoz-García, 2018. "Can Banning Spatial Price Discrimination Improve Social Welfare?," Journal of Industry, Competition and Trade, Springer, vol. 18(2), pages 223-243, June.
    5. Eleftheriou, Konstantinos & Michelacakis, Nickolas, 2015. "A Unified Model of Spatial Price Discrimination," MPRA Paper 66557, University Library of Munich, Germany.
    6. Konstantinos Eleftheriou & Nickolas J. Michelacakis, 2020. "Location decisions and welfare under spatial price discrimination," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 41(7), pages 1202-1210, October.
    7. Jacques-François Thisse & Philip Ushchev, 2018. "Monopolistic competition without apology," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume I, chapter 5, pages 93-136, Edward Elgar Publishing.
    8. David H. Autor & David Dorn & Gordon H. Hanson, 2016. "The China Shock: Learning from Labor-Market Adjustment to Large Changes in Trade," Annual Review of Economics, Annual Reviews, vol. 8(1), pages 205-240, October.
    9. 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.
    10. Raphael Auer & Philip Sauré, 2011. "Spatial Competition in Quality, Demand-Induced Innovation, and Schumpeterian Growth," Working Papers 11.04, Swiss National Bank, Study Center Gerzensee.
    11. Wen-Jung Liang & Kuang-Cheng Wang & Hong-Ren Din, 2014. "Spatial Competition and Flexible Manufacturing with Spatially Discriminatory Pricing," ERSA conference papers ersa14p234, European Regional Science Association.
    12. Carlo Reggiani & Francesco Silvestri, 2018. "Municipal Solid Waste, Market Competition and the EU Policy," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 71(2), pages 457-474, October.
    13. Phillip J. Lederer, 2020. "Location-Price Competition with Delivered Pricing and Elastic Demand," Networks and Spatial Economics, Springer, vol. 20(2), pages 449-477, June.
    14. Sriya Iyer & Chander Velu & Melvyn Weeks, 2014. "Divine Competition: Religious Organisations and Service Provision in India," Cambridge Working Papers in Economics 1409, Faculty of Economics, University of Cambridge.
    15. Carlo Reggiani, "undated". "Optimal Differentiation and Spatial Competition: The Spokes Model with Product Delivery," Discussion Papers 09/13, Department of Economics, University of York.
    16. Eleftheriou, Konstantinos & Michelacakis, Nickolas, 2017. "Spatial Price Discrimination and Privatization on Vertically Related Markets," MPRA Paper 76964, University Library of Munich, Germany.
    17. Kuang-Cheng Wang & Hong-Ren Din & Wen-Jung Liang, 2014. "Spatial competition and flexible manufacturing with spatially discriminatory pricing," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 53(1), pages 295-314, August.
    18. Jacopo Perego & Sevgi Yuksel, 2022. "Media Competition and Social Disagreement," Econometrica, Econometric Society, vol. 90(1), pages 223-265, January.

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    More about this item

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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