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The socially optimal and equilibrium locations of two stores or libraries with consumer search

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  • Ralph Braid

Abstract

This paper examines the socially optimal (and also equilibrium) locations of two stores or libraries on a linear market of unit length. If each consumer has probability $$w$$ w of finding a desired product at each store, then the socially optimal locations are never completely centralized for full information, but are completely centralized for $$w \le 0.5$$ w ≤ 0.5 when costly visit search is necessary. The Nash equilibrium locations of two stores, and various alternative models for the socially optimal locations of two stores, are also examined. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • 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.
    • Handle: RePEc:spr:anresc:v:53:y:2014:i:1:p:123-136
    DOI: 10.1007/s00168-014-0620-6
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    1. Jeffrey H. Fischer & Joseph E. Harrington Jr., 1996. "Product Variety and Firm Agglomeration," RAND Journal of Economics, The RAND Corporation, vol. 27(2), pages 281-309, Summer.
    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. Osborne, Martin J & Pitchik, Carolyn, 1987. "Equilibrium in Hotelling's Model of Spatial Competition," Econometrica, Econometric Society, vol. 55(4), pages 911-922, July.
    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. 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. Eaton, B Curtis & Lipsey, Richard G, 1982. "An Economic Theory of Central Places," Economic Journal, Royal Economic Society, vol. 92(365), pages 56-72, March.
    7. 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.
    8. Tabuchi, Takatoshi & Thisse, Jacques-Francois, 1995. "Asymmetric equilibria in spatial competition," International Journal of Industrial Organization, Elsevier, vol. 13(2), pages 213-227.
    9. Gupta, Barnali, 1992. "Sequential entry and deterrence with competitive spatial price discrimination," Economics Letters, Elsevier, vol. 38(4), pages 487-490, April.
    10. T.E. Smith & Mitchell Harwitz & Barry Lentnek & Peter Rogerson, 2000. "articles: Optimal search on spatial paths with recall, Part II: Computational procedures and examples," Papers in Regional Science, Springer;Regional Science Association International, vol. 79(3), pages 293-305.
    11. Quinzii, Martine & Thisse, Jacques-Francois, 1990. "On the Optimality of Central Places," Econometrica, Econometric Society, vol. 58(5), pages 1101-1119, September.
    12. 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.
    13. Braid, Ralph M., 1999. "The socially optimal locations of three stores with stockouts or limited product selections," Economics Letters, Elsevier, vol. 64(3), pages 363-368, September.
    14. Ralph M. Braid, 2011. "Bertrand‐Nash mill pricing and the locations of two firms with partially overlapping product selections," Papers in Regional Science, Wiley Blackwell, vol. 90(1), pages 197-211, March.
    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. Asher Wolinsky, 1983. "Retail Trade Concentration Due to Consumers' Imperfect Information," Bell Journal of Economics, The RAND Corporation, vol. 14(1), pages 275-282, Spring.
    17. repec:ulb:ulbeco:2013/1759 is not listed on IDEAS
    18. 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.
    19. Meza, Sergio & Tombak, Mihkel, 2009. "Endogenous location leadership," International Journal of Industrial Organization, Elsevier, vol. 27(6), pages 687-707, November.
    20. Economides, Nicholas, 1986. "Minimal and maximal product differentiation in Hotelling's duopoly," Economics Letters, Elsevier, vol. 21(1), pages 67-71.
    21. Gordon Mulligan & Mark Partridge & John Carruthers, 2012. "Central place theory and its reemergence in regional science," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 48(2), pages 405-431, April.
    22. Stahl, Konrad, 1982. "Differentiated Products, Consumer Search, and Locational Oligopoly," Journal of Industrial Economics, Wiley Blackwell, vol. 31(1-2), pages 97-113, September.
    23. Martin J. Beckmann, 1972. "Spatial Cournot Oligopoly," Papers in Regional Science, Wiley Blackwell, vol. 28(1), pages 37-48, January.
    24. 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.
    25. Mitchell Harwitz & Barry Lentnek & Peter Rogerson & T.E. Smith, 1998. "Optimal Search On Spatial Paths With Recall: Theoretical Foundations," Papers in Regional Science, Wiley Blackwell, vol. 77(3), pages 301-327, July.
    26. Simon P. Anderson & André De Palma, 1988. "Spatial Price Discrimination with Heterogeneous Products," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(4), pages 573-592.
    27. Economides, Nicholas, 1984. "The principle of minimum differentiation revisited," European Economic Review, Elsevier, vol. 24(3), pages 345-368, April.
    28. Ralph M. Braid, 2014. "Search costs decrease prices in a model of spatial competition," Papers in Regional Science, Wiley Blackwell, vol. 93(1), pages 125-139, March.
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    More about this item

    Keywords

    R32; L81; D83;
    All these keywords.

    JEL classification:

    • R32 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Other Spatial Production and Pricing Analysis
    • L81 - Industrial Organization - - Industry Studies: Services - - - Retail and Wholesale Trade; e-Commerce
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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