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Equilibrium Locations in A Spatial Model With Sequential Entry in Real Time

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  • L. Lambertini

Abstract

I describe the entry process in a spatial market over an infinite time horizon. I show that, as long as the strategy space at the location stage is unbounded, the results derived from the single-period Stackelberg model of entry coincide with those obtained in the infinite horizon model. On the contrary, if the strategy space is bounded, then the later the follower enters, the closer to the center of the market the leader locates at the initial date.

Suggested Citation

  • L. Lambertini, 1998. "Equilibrium Locations in A Spatial Model With Sequential Entry in Real Time," Working Papers 326, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:326
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    1. Lambertini, Luca, 1997. "Unicity of the equilibrium in the unconstrained Hotelling model," Regional Science and Urban Economics, Elsevier, vol. 27(6), pages 785-798, November.
    2. Ulrich Lehmann-Grube, 1997. "Strategic Choice of Quality When Quality is Costly: The Persistence of the High-Quality Advantage," RAND Journal of Economics, The RAND Corporation, vol. 28(2), pages 372-384, Summer.
    3. Richard Schmalensee, 1978. "Entry Deterrence in the Ready-to-Eat Breakfast Cereal Industry," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 305-327, Autumn.
    4. Konrad Stahl, 1982. "Location and Spatial Pricing Theory with Nonconvex Transportation Cost Schedules," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 575-582, Autumn.
    5. Avner Shaked & John Sutton, 1982. "Relaxing Price Competition Through Product Differentiation," Review of Economic Studies, Oxford University Press, vol. 49(1), pages 3-13.
    6. de Palma, A, et al, 1985. "The Principle of Minimum Differentiation Holds under Sufficient Heterogeneity," Econometrica, Econometric Society, vol. 53(4), pages 767-781, July.
    7. Tabuchi, Takatoshi & Thisse, Jacques-Francois, 1995. "Asymmetric equilibria in spatial competition," International Journal of Industrial Organization, Elsevier, vol. 13(2), pages 213-227.
    8. Eaton, B Curtis & Lipsey, Richard G, 1978. "Freedom of Entry and the Existence of Pure Profit," Economic Journal, Royal Economic Society, vol. 88(351), pages 455-469, September.
    9. W.J. Lane, 1980. "Product Differentiation in a Market with Endogenous Sequential Entry," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 237-260, Spring.
    10. Jaskold Gabszewicz, J. & Thisse, J. -F., 1979. "Price competition, quality and income disparities," Journal of Economic Theory, Elsevier, vol. 20(3), pages 340-359, June.
    11. B. Curtis Eaton & Myrna Holtz Wooders, 1985. "Sophisticated Entry in a Model of Spatial Competition," RAND Journal of Economics, The RAND Corporation, vol. 16(2), pages 282-297, Summer.
    12. Shaked, Avner & Sutton, John, 1983. "Natural Oligopolies," Econometrica, Econometric Society, vol. 51(5), pages 1469-1483, September.
    13. Anderson, Simon P. & Engers, Maxim, 1992. "Stackelberg versus Cournot oligopoly equilibrium," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 127-135, March.
    14. Giacomo Bonanno, 1987. "Location Choice, Product Proliferation and Entry Deterrence," Review of Economic Studies, Oxford University Press, vol. 54(1), pages 37-45.
    15. Harter, John F R, 1993. "Differentiated Products with R&D," Journal of Industrial Economics, Wiley Blackwell, vol. 41(1), pages 19-28, March.
    16. Anderson, Simon P & Engers, Maxim, 1994. "Strategic Investment and Timing of Entry," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(4), pages 833-853, November.
    17. Anderson, Simon, 1987. "Spatial competition and price leadership," International Journal of Industrial Organization, Elsevier, vol. 5(4), pages 369-398.
    18. Edward C. Prescott & Michael Visscher, 1977. "Sequential Location among Firms with Foresight," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 378-393, Autumn.
    19. repec:ulb:ulbeco:2013/1759 is not listed on IDEAS
    20. 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.
    21. Economides, Nicholas, 1986. "Minimal and maximal product differentiation in Hotelling's duopoly," Economics Letters, Elsevier, vol. 21(1), pages 67-71.
    22. B. Curtis Eaton & Richard G. Lipsey, 1980. "Exit Barriers are Entry Barriers: The Durability of Capital as a Barrier to Entry," Bell Journal of Economics, The RAND Corporation, vol. 11(2), pages 721-729, Autumn.
    23. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    24. Jaskold Gabszewicz, J. & Thisse, J. -F., 1980. "Entry (and exit) in a differentiated industry," Journal of Economic Theory, Elsevier, vol. 22(2), pages 327-338, April.
    25. Hay, D A, 1976. "Sequential Entry and Entry-Deterring Strategies in Spatial Competition," Oxford Economic Papers, Oxford University Press, vol. 28(2), pages 240-257, July.
    26. Neven, Damien J., 1987. "Endogenous sequential entry in a spatial model," International Journal of Industrial Organization, Elsevier, vol. 5(4), pages 419-434.
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    Cited by:

    1. Takeshi Ebina & Noriaki Matsushima, 2017. "Product differentiation and entry timing in a continuous-time spatial competition model with vertical relations," ISER Discussion Paper 1009, Institute of Social and Economic Research, Osaka University.
    2. Changying Li & Jianhu Zhang, 2013. "Dynamic Games of R&D Competition in a Differentiated Duopoly," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 169(4), pages 660-679, December.
    3. Pierre Fleckinger & Thierry Lafay, 2010. "Product flexibility and price competition in Hotelling's duopoly," Post-Print hal-00641873, HAL.
    4. Ebina, Takeshi & Matsushima, Noriaki & Shimizu, Daisuke, 2015. "Product differentiation and entry timing in a continuous time spatial competition model," European Journal of Operational Research, Elsevier, vol. 247(3), pages 904-913.
    5. Li, Changying & Zhang, Jianhu, 2011. "Equilibrium locations in a mixed duopoly with sequential entry in real time," Economic Modelling, Elsevier, vol. 28(3), pages 1211-1218, May.
    6. Pierre Fleckinger & Thierry Lafay, 2010. "Product flexibility and price competition in Hotelling's duopoly," PSE-Ecole d'économie de Paris (Postprint) hal-00641873, HAL.
    7. Kress, Dominik & Pesch, Erwin, 2012. "Sequential competitive location on networks," European Journal of Operational Research, Elsevier, vol. 217(3), pages 483-499.
    8. Pierre Fleckinger & Thierry Lafay, 2003. "Horizontal differentiation and price competition with sequential entry," Working Papers hal-00243021, HAL.
    9. Javier Elizalde & Markus Kinateder & Ignacio Rodríguez-Carreño, 2015. "Entry regulation, firm’s behaviour and social welfare," European Journal of Law and Economics, Springer, vol. 40(1), pages 13-31, August.
    10. Lambertini, Luca, 2005. "Advertising in a dynamic spatial monopoly," European Journal of Operational Research, Elsevier, vol. 166(2), pages 547-556, October.
    11. Ebina, Takeshi & Matsushima, Noriaki & Nishide, Katsumasa, 2022. "Demand uncertainty, product differentiation, and entry timing under spatial competition," European Journal of Operational Research, Elsevier, vol. 303(1), pages 286-297.
    12. Javier Elizalde & Markus Kinateder & Ignacio Rodríguez-Carreño, 2014. "Entry Regulation in a Linear Market with Elastic Demand," Faculty Working Papers 02/14, School of Economics and Business Administration, University of Navarra.
    13. Fleckinger, Pierre & Lafay, Thierry, 2010. "Product flexibility and price competition in Hotelling's duopoly," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 61-68, July.
    14. Luca Lambertini, 2007. "Dynamic Spatial Monopoly with Product Development," Spatial Economic Analysis, Taylor & Francis Journals, vol. 2(2), pages 157-166.
    15. Takeshi Ebina & Noriaki Matsushima & Katsumasa Nishide, 2017. "Demand uncertainty, product differentiation, and entry timing under spatial competition," ISER Discussion Paper 1007, Institute of Social and Economic Research, Osaka University.

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