IDEAS home Printed from https://ideas.repec.org/a/wly/mgtdec/v41y2020i7p1202-1210.html
   My bibliography  Save this article

Location decisions and welfare under spatial price discrimination

Author

Listed:
  • Konstantinos Eleftheriou
  • Nickolas J. Michelacakis

Abstract

The welfare effects of regulation are of crucial importance to policy makers. To this end, we present a model of n firms with differentiated costs competing in a linear market within the framework of spatial price discrimination. We prove that the Nash equilibrium locations of firms are always socially optimal irrespective of the number of competitors, the distribution of consumers, firms' cost heterogeneity, the level of privatization, and the number and/or the varieties of the produced goods. We also provide an algorithm on how to find the unique Nash equilibrium in the case of uniformly distributed consumers.

Suggested Citation

  • 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.
  • Handle: RePEc:wly:mgtdec:v:41:y:2020:i:7:p:1202-1210
    DOI: 10.1002/mde.3166
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/mde.3166
    Download Restriction: no

    File URL: https://libkey.io/10.1002/mde.3166?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. ReVelle, C. S. & Eiselt, H. A., 2005. "Location analysis: A synthesis and survey," European Journal of Operational Research, Elsevier, vol. 165(1), pages 1-19, August.
    2. 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.
    3. 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.
    4. SCHMALENSEE, Richard & THISSE, Jacques-François, 1988. "Perceptual maps and the optimal location of new products: an integrative essay," LIDAM Reprints CORE 840, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Hamilton, Jonathan H. & Thisse, Jacques-Francois & Weskamp, Anita, 1989. "Spatial discrimination : Bertrand vs. Cournot in a model of location choice," Regional Science and Urban Economics, Elsevier, vol. 19(1), pages 87-102, February.
    6. MacLeod, W.B. & Norman, G. & Thisse, J.-F., 1988. "Price discrimination and equilibrium in monopolistic competition," International Journal of Industrial Organization, Elsevier, vol. 6(4), pages 429-446.
    7. Greenhut, M L & Ohta, H, 1972. "Monopoly Output Under Alternative Spatial Pricing Techniques," American Economic Review, American Economic Association, vol. 62(4), pages 705-713, September.
    8. Holahan, William L, 1975. "The Welfare Effects of Spatial Price Discrimination," American Economic Review, American Economic Association, vol. 65(3), pages 498-503, June.
    9. Cremer, Helmuth & Marchand, Maurice & Thisse, Jacques-Francois, 1991. "Mixed oligopoly with differentiated products," International Journal of Industrial Organization, Elsevier, vol. 9(1), pages 43-53, March.
    10. Thisse, Jacques-Francois & Vives, Xavier, 1988. "On the Strategic Choice of Spatial Price Policy," American Economic Review, American Economic Association, vol. 78(1), pages 122-137, March.
    11. Greenhut, Melvin L, 1981. "Spatial Pricing in the United States, West Germany and Japan," Economica, London School of Economics and Political Science, vol. 48(189), pages 79-86, February.
    12. Cabral, Luis M. B., 2000. "Introduction to Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262032864, December.
    13. Jonathan Vogel, 2011. "Spatial Price Discrimination with Heterogeneous Firms," Journal of Industrial Economics, Wiley Blackwell, vol. 59(4), pages 661-676, December.
    14. John S. Heywood & Guangliang Ye, 2009. "Mixed Oligopoly, Sequential Entry, And Spatial Price Discrimination," Economic Inquiry, Western Economic Association International, vol. 47(3), pages 589-597, July.
    15. Braid, Ralph M., 2008. "Spatial price discrimination and the locations of firms with different product selections or product varieties," Economics Letters, Elsevier, vol. 98(3), pages 342-347, March.
    16. Eleftheriou, Konstantinos & Michelacakis, Nickolas, 2015. "A Unified Model of Spatial Price Discrimination," MPRA Paper 66557, University Library of Munich, Germany.
    17. Heywood, John S. & Ye, Guangliang, 2009. "Mixed oligopoly and spatial price discrimination with foreign firms," Regional Science and Urban Economics, Elsevier, vol. 39(5), pages 592-601, September.
    18. Eleftheriou, Konstantinos & Michelacakis, Nickolas J., 2016. "A comment on ‘Vertical mergers and downstream spatial competition with different product varieties’," Economics Letters, Elsevier, vol. 143(C), pages 84-86.
    19. A. P. Lerner & H. W. Singer, 1937. "Some Notes on Duopoly and Spatial Competition," Journal of Political Economy, University of Chicago Press, vol. 45(2), pages 145-145.
    20. Edgar M. Hoover, 1937. "Spatial Price Discrimination," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 4(3), pages 182-191.
    21. Beladi, Hamid & Chakrabarti, Avik & Marjit, Sugata, 2014. "A public firm in a model of spatial duopoly with price discrimination," Economics Letters, Elsevier, vol. 123(1), pages 79-81.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hang Cao & Leonard F. S. Wang, 2023. "Optimal zoning of managerial duopoly," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 44(1), pages 58-67, January.
    2. Heywood, John S. & Wang, Zerong & Ye, Guangliang, 2023. "Spatial price discrimination in a mixed duopoly input market," Regional Science and Urban Economics, Elsevier, vol. 102(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Eleftheriou, Konstantinos & Michelacakis, Nickolas, 2017. "Spatial Price Discrimination and Privatization on Vertically Related Markets," MPRA Paper 76964, University Library of Munich, Germany.
    2. Eleftheriou, Konstantinos & Michelacakis, Nickolas, 2015. "A Unified Model of Spatial Price Discrimination," MPRA Paper 66557, University Library of Munich, Germany.
    3. Michelacakis, Nickolas J., 2023. "Nash versus consistent equilibrium: A comparative perspective on a mixed duopoly location model of spatial price discrimination with delegation," Regional Science and Urban Economics, Elsevier, vol. 99(C).
    4. Ralph Braid, 2013. "The locations of firms on intersecting roadways," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 50(3), pages 791-808, June.
    5. Carlo Reggiani, "undated". "Optimal Differentiation and Spatial Competition: The Spokes Model with Product Delivery," Discussion Papers 09/13, Department of Economics, University of York.
    6. Heywood, John S. & Ye, Guangliang, 2009. "Mixed oligopoly and spatial price discrimination with foreign firms," Regional Science and Urban Economics, Elsevier, vol. 39(5), pages 592-601, September.
    7. Pires, Cesaltina Pacheco & Sarkar, Soumodip, 2000. "Delivered nonlinear pricing by duopolists," Regional Science and Urban Economics, Elsevier, vol. 30(4), pages 429-456, July.
    8. Jen-Te Yao, 2019. "The impact of transportation asymmetry on the choice of a spatial price policy," Asia-Pacific Journal of Regional Science, Springer, vol. 3(3), pages 793-811, October.
    9. Carlo Reggiani, 2014. "Spatial Price Discrimination in the Spokes Model," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 23(3), pages 628-649, September.
    10. Jonathan Vogel, 2011. "Spatial Price Discrimination with Heterogeneous Firms," Journal of Industrial Economics, Wiley Blackwell, vol. 59(4), pages 661-676, December.
    11. Braid, Ralph M., 2008. "Spatial price discrimination and the locations of firms with different product selections or product varieties," Economics Letters, Elsevier, vol. 98(3), pages 342-347, March.
    12. Simon P. Anderson & Régis Renault, 2011. "Price Discrimination," Chapters, in: André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), A Handbook of Transport Economics, chapter 22, Edward Elgar Publishing.
    13. Shin‐kun Peng, 2004. "Spatial Monopoly with Product Differentiation," Southern Economic Journal, John Wiley & Sons, vol. 70(3), pages 646-660, January.
    14. Debashis Pal, 1994. "Cournot Competition and Spatial Agglomeration," Microeconomics 9402002, University Library of Munich, Germany.
    15. 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.
    16. Aguirre, Inaki & Paz Espinosa, Maria, 2004. "Product differentiation with consumer arbitrage," International Journal of Industrial Organization, Elsevier, vol. 22(2), pages 219-239, February.
    17. John Heywood & Guangliang Ye, 2013. "Sequential entry and merger in spatial price discrimination," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 50(3), pages 841-859, June.
    18. Eleftheriou, Konstantinos & Michelacakis, Nickolas, 2016. "A Comment on "Sequential Spatial Competition in Vertically Related Industries with Different Product Varieties"," MPRA Paper 73485, University Library of Munich, Germany.
    19. John S. Heywood & Zheng Wang, 2020. "Profitable collusion on costs: a spatial model," Journal of Economics, Springer, vol. 131(3), pages 267-286, December.
    20. John S. Heywood & Shiqiang Wang & Guangliang Ye, 2021. "Partial Privatization Upstream with Spatial Price Discrimination Downstream," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 59(1), pages 57-78, August.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:mgtdec:v:41:y:2020:i:7:p:1202-1210. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www3.interscience.wiley.com/cgi-bin/jhome/7976 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.