IDEAS home Printed from https://ideas.repec.org/p/ucy/cypeua/05-2014.html
   My bibliography  Save this paper

A Spatial Model of Perfect Competition

Author

Listed:
  • Dimitrios Xefteris
  • Nicholas Ziros

Abstract

This paper employs the theory of strategic market games (enhanced with a spatial dimension) in order to study the issue of market location in a perfectly competitive setup. In this framework, each player decides strategically where and what quantities she wishes to trade and, hence, the market structure (or simply the distribution of the active trading posts and prices) emerges endogenously. We conduct a comprehensive analysis for a class of simple games with a continuum of traders and we show that (i) not all market structures can support a Nash equilibrium, (ii) at least some multi-market structures can support a Nash equilibrium and (iii) prices in a multi-market Nash equilibrium, generically, diverge.

Suggested Citation

  • Dimitrios Xefteris & Nicholas Ziros, 2014. "A Spatial Model of Perfect Competition," University of Cyprus Working Papers in Economics 05-2014, University of Cyprus Department of Economics.
    • Handle: RePEc:ucy:cypeua:05-2014
    as

    Download full text from publisher

    File URL: https://papers.econ.ucy.ac.cy/RePEc/papers/05-14.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Huck, Steffen & Knoblauch, Vicki & Muller, Wieland, 2003. "On the profitability of collusion in location games," Journal of Urban Economics, Elsevier, vol. 54(3), pages 499-510, November.
    2. 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.
    3. Fujita, Masahisa & Thisse, Jacques-Francois & Zenou, Yves, 1997. "On the Endogeneous Formation of Secondary Employment Centers in a City," Journal of Urban Economics, Elsevier, vol. 41(3), pages 337-357, May.
    4. Berliant, Marcus & Papageorgiou, Yorgos Y. & Wang, Ping, 1990. "On welfare theory and urban economics," Regional Science and Urban Economics, Elsevier, vol. 20(2), pages 245-261, September.
    5. Wang, Ping, 1990. "Competitive equilibrium formation of marketplaces with heterogeneous consumers," Regional Science and Urban Economics, Elsevier, vol. 20(3), pages 295-304, November.
    6. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-968, October.
    7. Osborne, Martin J. & Pitchik, Carolyn, 1986. "Price competition in a capacity-constrained duopoly," Journal of Economic Theory, Elsevier, vol. 38(2), pages 238-260, April.
    8. Baesemann, Robert C, 1977. "The Formation of Small Market Places in a Competitive Economic Process-The Dynamics of Agglomeration," Econometrica, Econometric Society, vol. 45(2), pages 361-374, March.
    9. Sahi, Siddhartha & Yao, Shuntian, 1989. "The non-cooperative equilibria of a trading economy with complete markets and consistent prices," Journal of Mathematical Economics, Elsevier, vol. 18(4), pages 325-346, September.
    10. GABSZEWICZ, Jean & MICHEL, Philippe, 1992. "Oligopoly equilibria in exchange economies," LIDAM Discussion Papers CORE 1992047, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. B. C. Eaton & Richard G. Harris (ed.), 1997. "Trade, Technology and Economics," Books, Edward Elgar Publishing, number 1020.
    12. Karmann, Alexander, 1982. "Spatial barter economies under locational choice," Journal of Mathematical Economics, Elsevier, vol. 9(3), pages 259-274, March.
    13. Fan‐chin Kung & Ping Wang, 2012. "A spatial network approach to urban configurations," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 45(1), pages 314-344, February.
    14. Dubey, Pradeep & Shapley, Lloyd S., 1994. "Noncooperative general exchange with a continuum of traders: Two models," Journal of Mathematical Economics, Elsevier, vol. 23(3), pages 253-293, May.
    15. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    16. Schweizer, Urs & Varaiya, Pravin & Hartwick, John, 1976. "General equilibrium and location theory," Journal of Urban Economics, Elsevier, vol. 3(3), pages 285-303, July.
    17. d'Aspremont, C & Gabszewicz, Jean Jaskold & Thisse, J-F, 1979. "On Hotelling's "Stability in Competition"," Econometrica, Econometric Society, vol. 47(5), pages 1145-1150, September.
    18. Gupta, Barnali & Pal, Debashis & Sarkar, Jyotirmoy, 1997. "Spatial Cournot competition and agglomeration in a model of location choice," Regional Science and Urban Economics, Elsevier, vol. 27(3), pages 261-282, June.
    19. Fujita, Masahisa & Smith, Tony E., 1987. "Existence of continuous residential land-use equilibria," Regional Science and Urban Economics, Elsevier, vol. 17(4), pages 549-594, November.
    20. Jonathan H Hamilton & James F. Klein & Eytan Sheshinski & Steven M. Slutsky, 1994. "Quantity Competition in a Spatial Model," Canadian Journal of Economics, Canadian Economics Association, vol. 27(4), pages 903-917, November.
    21. Berliant, Marcus & Wang, Ping, 1993. "Endogenous formation of a city without agglomerative externalities or market imperfections : Marketplaces in a regional economy," Regional Science and Urban Economics, Elsevier, vol. 23(1), pages 121-144, March.
    22. Anderson, Simon P & Neven, Damien J, 1991. "Cournot Competition Yields Spatial Agglomeration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(4), pages 793-808, November.
    Full references (including those not matched with items on IDEAS)

    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. Francesca Busetto & Giulio Codognato & Sayantan Ghosal, 2012. "Noncooperative Oligopoly in Markets with a Continuum of Traders: A Limit Theorem," EconomiX Working Papers 2012-49, University of Paris Nanterre, EconomiX.
    2. Stefano Colombo, 2016. "Location choices with a non-linear demand function," Papers in Regional Science, Wiley Blackwell, vol. 95, pages 215-226, March.
    3. Noriaki Matsushima & Toshihiro Matsumura, 2003. "Mixed oligopoly and spatial agglomeration," Canadian Journal of Economics, Canadian Economics Association, vol. 36(1), pages 62-87, February.
    4. 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.
    5. Hinloopen, Jeroen & Müller, Wieland & Normann, Hans-Theo, 2014. "Output commitment through product bundling: Experimental evidence," European Economic Review, Elsevier, vol. 65(C), pages 164-180.
    6. Busetto, Francesca & Codognato, Giulio & Ghosal, Sayantan, 2008. "Cournot-Walras Equilibrium as a Subgame Perfect Equilibrium," The Warwick Economics Research Paper Series (TWERPS) 837, University of Warwick, Department of Economics.
    7. Debashis Pal & Jyotirmoy Sarkar, 2006. "Spatial Cournot Competition among Multi‐Plant Firms in a Circular City," Southern Economic Journal, John Wiley & Sons, vol. 73(1), pages 246-258, July.
    8. Toshihiro Matsumura & Takao Ohkawa & Daisuke Shimizu, 2005. "Partial Agglomeration or Dispersion in Spatial Cournot Competition," Southern Economic Journal, John Wiley & Sons, vol. 72(1), pages 224-235, July.
    9. Hinloopen, Jeroen & Martin, Stephen, 2017. "Costly location in Hotelling duopoly," Research in Economics, Elsevier, vol. 71(1), pages 118-128.
    10. Busetto, Francesca & Codognato, Giulio & Ghosal, Sayantan, 2011. "Noncooperative oligopoly in markets with a continuum of traders," Games and Economic Behavior, Elsevier, vol. 72(1), pages 38-45, May.
    11. Gupta, Barnali & Lai, Fu-Chuan & Pal, Debashis & Sarkar, Jyotirmoy & Yu, Chia-Ming, 2004. "Where to locate in a circular city?," International Journal of Industrial Organization, Elsevier, vol. 22(6), pages 759-782, June.
    12. Pal, Debashis, 1998. "Does Cournot competition yield spatial agglomeration?," Economics Letters, Elsevier, vol. 60(1), pages 49-53, July.
    13. Mayer, Thierry, 2000. "Spatial Cournot competition and heterogeneous production costs across locations," Regional Science and Urban Economics, Elsevier, vol. 30(3), pages 325-352, May.
    14. Ralph Braid, 2014. "The socially optimal and equilibrium locations of two stores or libraries with consumer search," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 53(1), pages 123-136, August.
    15. Ricardo Biscaia & Paula Sarmento, 2013. "Location Decisions in a Natural Resource Model of Cournot Competition," FEP Working Papers 509, Universidade do Porto, Faculdade de Economia do Porto.
    16. Francesca Busetto & Giulio Codognato & Sayantan Ghosal & Ludovic Julien & Simone Tonin, 2020. "Existence and optimality of Cournot–Nash equilibria in a bilateral oligopoly with atoms and an atomless part," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 933-951, December.
    17. Chia-Hung Sun & Jyh-Fa Tsai & Fu-Chuan Lai, 2017. "Spatial Cournot competition in a circular city with more than two dispatches," The Japanese Economic Review, Japanese Economic Association, vol. 68(4), pages 413-442, December.
    18. Francesca Busetto & Giulio Codognato & Sayantan Ghosal, 2017. "Asymptotic equivalence between Cournot–Nash and Walras equilibria in exchange economies with atoms and an atomless part," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 975-990, November.
    19. Toshihiro Matsumura, 2003. "Consumer‐benefiting exclusive territories," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 36(4), pages 1007-1025, November.
    20. Stefano Colombo, 2012. "Collusion in two models of spatial competition with quantity-setting firms," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 48(1), pages 45-69, February.

    More about this item

    Keywords

    Spatial model; Market locations; Strategic market games; Perfect competition.;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:ucy:cypeua:05-2014. 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: the person in charge (email available below). General contact details of provider: https://www.ucy.ac.cy/econ/?lang=en .

    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.