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A Spatial Model of Perfect Competition

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  • 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
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    File URL: https://papers.econ.ucy.ac.cy/RePEc/papers/05-14.pdf
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    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. 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.
    3. 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.
    4. 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.
    5. 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).
    6. B. C. Eaton & Richard G. Harris (ed.), 1997. "Trade, Technology and Economics," Books, Edward Elgar Publishing, number 1020.
    7. Fan-chin Kung & Ping Wang, 2012. "A spatial network approach to urban configurations," Canadian Journal of Economics, Canadian Economics Association, vol. 45(1), pages 314-344, February.
    8. 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.
    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. Schweizer, Urs & Varaiya, Pravin & Hartwick, John, 1976. "General equilibrium and location theory," Journal of Urban Economics, Elsevier, vol. 3(3), pages 285-303, July.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. Wang, Ping, 1990. "Competitive equilibrium formation of marketplaces with heterogeneous consumers," Regional Science and Urban Economics, Elsevier, vol. 20(3), pages 295-304, November.
    18. 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.
    19. 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.
    20. Karmann, Alexander, 1982. "Spatial barter economies under locational choice," Journal of Mathematical Economics, Elsevier, vol. 9(3), pages 259-274, March.
    21. 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.
    22. 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.
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    Keywords

    Spatial model; Market locations; Strategic market games; Perfect competition.;
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