IDEAS home Printed from https://ideas.repec.org/p/cor/louvrp/986.html
   My bibliography  Save this paper

Spatial competition and the core

Author

Listed:
  • HAMILTON, John H.
  • MacLEOD, W. Bentley
  • THISSE, Jacques-François

Abstract

Models of spatial competition have proven useful in describing differentiated product markets. A serious problem is the nonexistence of Nash equilibria. This problem is resolved by modelling the price formation process using the core. The equilibrium is the outcome of a two-stage process. In the first stage, two firms choose locations simultaneously. The second stage has prices determined by an allocation in the core of a cooperative subgame allowing for coalitions of buyers and sellers. These prices approach the competitive level as the distance between the firms goes to zero, thus capturing the essence of duopoly rivalry.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • HAMILTON, John H. & MacLEOD, W. Bentley & THISSE, Jacques-François, 1991. "Spatial competition and the core," LIDAM Reprints CORE 986, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:986
    DOI: 10.2307/2937934
    Note: In : Quarterly Journal of Economics, 106(3), 925-937, 1991
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Gabszewicz, Jean Jaskold & Mertens, Jean-Francois, 1971. "An Equivalence Theorem for the Core of an Economy Whose Atoms Are Not 'Too' Big," Econometrica, Econometric Society, vol. 39(5), pages 713-721, September.
    2. Carl Davidson & Raymond Deneckere, 1986. "Long-Run Competition in Capacity, Short-Run Competition in Price, and the Cournot Model," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 404-415, Autumn.
    3. Jonathan Eaton & Henryk Kierzkowski, 1984. "Oligopolistic Competition, Product Variety, Entry Deterrence, and Technology Transfer," RAND Journal of Economics, The RAND Corporation, vol. 15(1), pages 99-107, Spring.
    4. Okuno, Masahiro & Postlewaite, Andrew & Roberts, John, 1980. "Oligopoly and Competition in Large Markets," American Economic Review, American Economic Association, vol. 70(1), pages 22-31, March.
    5. MacLeod, W. Bentley, 1985. "On the non-existence of equilibria in differentiated product models," Regional Science and Urban Economics, Elsevier, vol. 15(2), pages 245-262, June.
    6. Aumann, Robert J., 1973. "Disadvantageous monopolies," Journal of Economic Theory, Elsevier, vol. 6(1), pages 1-11, February.
    7. Shitovitz, Benyamin, 1973. "Oligopoly in Markets with a Continuum of Traders," Econometrica, Econometric Society, vol. 41(3), pages 467-501, May.
    8. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
    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. Drezner, Zvi & Wesolowsky, George O., 1996. "Location-allocation on a line with demand-dependent costs," European Journal of Operational Research, Elsevier, vol. 90(3), pages 444-450, May.
    2. Hamilton, Jonathan & Slutsky, Steven, 2004. "Nonlinear price discrimination with a finite number of consumers and constrained recontracting," International Journal of Industrial Organization, Elsevier, vol. 22(6), pages 737-757, June.
    3. Boyer, Marcel & Laffont, Jean-Jacques & Mahenc, Philippe & Moreaux, Michel, 1995. "Sequential Location Equilibria under Incomplete Information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 323-350, July.
    4. Stuart, Harborne Jr., 2004. "Efficient spatial competition," Games and Economic Behavior, Elsevier, vol. 49(2), pages 345-362, November.
    5. Ricardo Biscaia & Isabel Mota, 2013. "Models of spatial competition: A critical review," Papers in Regional Science, Wiley Blackwell, vol. 92(4), pages 851-871, November.
    6. Jonathan Vogel, 2011. "Spatial Price Discrimination with Heterogeneous Firms," Journal of Industrial Economics, Wiley Blackwell, vol. 59(4), pages 661-676, December.
    7. Marcus Berliant & Yves Zenou, 2014. "Labor Differentiation and Agglomeration in General Equilibrium," International Regional Science Review, , vol. 37(1), pages 36-65, January.
    8. Byford, Martin C., 2015. "A theoretical foundation for the undercut-proof equilibrium," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 209-220.
    9. Chisholm, Darlene C. & Norman, George, 2004. "Heterogeneous preferences and location choice with multi-product firms," Regional Science and Urban Economics, Elsevier, vol. 34(3), pages 321-339, May.
    10. Reisinger, Markus, 2004. "Two-Sided Markets with Negative Externalities," Discussion Papers in Economics 478, University of Munich, Department of Economics.
    11. Jacques-François Thisse & Suzanne Scotchmer, 1993. "Les implications de l'espace pour la concurrence," Revue Économique, Programme National Persée, vol. 44(4), pages 653-670.
    12. Jan K. Brueckner & Jacques-FranÁois Thisse & Yves Zenou, 2002. "Local Labor Markets, Job Matching, and Urban Location," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(1), pages 155-171, February.
    13. Martin C. Byford, 2018. "Ex-post price stability with convex costs," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1065-1085, November.
    14. Eleftheriou, Konstantinos & Michelacakis, Nickolas, 2017. "Spatial Price Discrimination and Privatization on Vertically Related Markets," MPRA Paper 76964, University Library of Munich, Germany.
    15. Eleftheriou, Konstantinos & Michelacakis, Nickolas, 2015. "A Unified Model of Spatial Price Discrimination," MPRA Paper 66557, University Library of Munich, Germany.
    16. 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.
    17. Giulio Bottazzi & Giovanni Dosi & Giorgio Fagiolo, 2001. "On the Ubiquitous Nature of the Agglomeration Economies and their Diverse Determinants: Some Notes," LEM Papers Series 2001/10, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    18. Richard S. Higgins, 1999. "A geometric treatment of discriminatory pricing among spatially competitive suppliers, with antitrust applications," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 20(8), pages 437-445.
    19. F. William McElroy, 1997. "Alternatives to the U.S. Antitrust Agency Approach to Market Definition," Industrial Organization 9706003, University Library of Munich, Germany.
    20. Jacopo Perego & Sevgi Yuksel, 2022. "Media Competition and Social Disagreement," Econometrica, Econometric Society, vol. 90(1), pages 223-265, January.
    21. Darlene C. Chisholm & George Norman, 2002. "Spatial Competition and Demand: An Application to Motion Pictures," Discussion Papers Series, Department of Economics, Tufts University 0216, Department of Economics, Tufts University.
    22. A. de Palma & C. Fontan & O. Mekkaoui, 2000. "Trip Timing for Public Transportation : An Empirical Application," THEMA Working Papers 2000-19, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    23. F. William McElroy, 1996. "Alternatives to the U.S. Antitrust Agency Approach to Market Definition," Law and Economics 9606001, University Library of Munich, Germany.

    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. Jean J. Gabszewicz & Jacques-François Thisse, 2000. "Microeconomic theories of imperfect competition," Cahiers d'Économie Politique, Programme National Persée, vol. 37(1), pages 47-99.
    2. Bloch, Francis & Ghosal, Sayantan, 1997. "Stable Trading Structures in Bilateral Oligopolies," Journal of Economic Theory, Elsevier, vol. 74(2), pages 368-384, June.
    3. Alex Dickson & Simone Tonin, 2021. "An introduction to perfect and imperfect competition via bilateral oligopoly," Journal of Economics, Springer, vol. 133(2), pages 103-128, July.
    4. Ludovic A. Julien & Francesca Busetto & Giulio Codognato & Sayantan Ghosal & Damiano Turchet, 2023. "Noncooperative Oligopoly in Markets with a Continuum of Traders and a Strongly Connected Set of Commodities: A Limit Theorem," EconomiX Working Papers 2023-22, University of Paris Nanterre, EconomiX.
    5. Tasnadi, Attila, 2000. "A price-setting game with a nonatomic fringe," Economics Letters, Elsevier, vol. 69(1), pages 63-69, October.
    6. Codognato, Giulio & Ghosal, Sayantan & Tonin, Simone, 2015. "Atomic Cournotian traders may be Walrasian," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 1-14.
    7. Raymond J. Deneckere & Dan Kovenock, 1988. "Capacity-Constrained Price Competition When Unit Costs Differ," Discussion Papers 861, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    8. Roy Chowdhury, Prabal, 2008. "Bertrand-Edgeworth equilibrium with a large number of firms," International Journal of Industrial Organization, Elsevier, vol. 26(3), pages 746-761, May.
    9. Lambertini, Luca, 1997. "Prisoners' Dilemma in Duopoly (Super)Games," Journal of Economic Theory, Elsevier, vol. 77(1), pages 181-191, November.
    10. Konrad, Kai A. & Rees, Ray, 2020. "Passports for sale: The political economy of conflict and cooperation in a meta-club," European Journal of Political Economy, Elsevier, vol. 62(C).
    11. Dasci, A. & Karakul, M., 2009. "Two-period dynamic versus fixed-ratio pricing in a capacity constrained duopoly," European Journal of Operational Research, Elsevier, vol. 197(3), pages 945-968, September.
    12. de Frutos, María-Ángeles & Fabra, Natalia, 2011. "Endogenous capacities and price competition: The role of demand uncertainty," International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 399-411, July.
    13. Prabal Roy Chowdhury, 2004. "Bertrand-Edgeworth duopoly with linear costs: A tale of two paradoxes," Discussion Papers 04-13, Indian Statistical Institute, Delhi.
    14. Ricardo F. Reis & Phillip C. Stocken, 2007. "Strategic Consequences of Historical Cost and Fair Value Measurements," Contemporary Accounting Research, John Wiley & Sons, vol. 24(2), pages 557-584, June.
    15. Germano, Fabrizio, 2003. "Bertrand-edgeworth equilibria in finite exchange economies," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 677-692, July.
    16. Chiara Donnini & Marialaura Pesce, 2020. "Strict fairness of equilibria in asymmetric information economies and mixed markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 107-124, February.
    17. Simon Loertscher, 2005. "Market making oligopoly," Diskussionsschriften dp0512, Universitaet Bern, Departement Volkswirtschaft.
    18. Steen, Frode & Sorgard, Lars, 1999. "Semicollusion in the Norwegian cement market," European Economic Review, Elsevier, vol. 43(9), pages 1775-1796, October.
    19. Gardner, Roy, 1976. "Shapley Value And Disadvantageous Monopoly," ISU General Staff Papers 197610010700001041, Iowa State University, Department of Economics.
    20. Luca Lambertini, 2000. "Strategic Delegation and the Shape of Market Competition," Scottish Journal of Political Economy, Scottish Economic Society, vol. 47(5), pages 550-570, November.

    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:cor:louvrp:986. 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: Alain GILLIS (email available below). General contact details of provider: https://edirc.repec.org/data/coreebe.html .

    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.