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Spatial Competition in Variety and Number of Stores

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Abstract

We propose location-then-variety competition for a multi-product and multi-store oligopoly, in which the number of firms, the number of stores and their location, and the number of varieties are endogenously determined. We show that as compared to price-then-variety and quantity-then-variety competition, location-then-variety competition with multi-stores yields a much richer set of equilibrium outcomes, such as market segmentation, interlacing, sandwich and enclosure.

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  • Shin-Kun Peng & Takatoshi Tabuchi, 2006. "Spatial Competition in Variety and Number of Stores," IEAS Working Paper : academic research 06-A002, Institute of Economics, Academia Sinica, Taipei, Taiwan.
  • Handle: RePEc:sin:wpaper:06-a002
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    1. Andrews, Donald W. K., 1987. "Asymptotic Results for Generalized Wald Tests," Econometric Theory, Cambridge University Press, vol. 3(3), pages 348-358, June.
    2. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    3. Lobato I. N., 2001. "Testing That a Dependent Process Is Uncorrelated," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1066-1076, September.
    4. Whitney K. Newey & Kenneth D. West, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(4), pages 631-653.
    5. Peter C. B. Phillips & Yixiao Sun & Sainan Jin, 2006. "Spectral Density Estimation And Robust Hypothesis Testing Using Steep Origin Kernels Without Truncation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(3), pages 837-894, August.
    6. Vogelsang, Timothy J., 2001. "Testing in GMM Models without Truncation," Working Papers 01-12, Cornell University, Center for Analytic Economics.
    7. Fujita,Masahisa & Thisse,Jacques-François, 2013. "Economics of Agglomeration," Cambridge Books, Cambridge University Press, number 9781107001411, January.
    8. Hall, Alastair R. & Inoue, Atsushi & Peixe, Fernanda P.M., 2003. "Covariance Matrix Estimation And The Limiting Behavior Of The Overidentifying Restrictions Test In The Presence Of Neglected Structural Instability," Econometric Theory, Cambridge University Press, vol. 19(6), pages 962-983, December.
    9. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    10. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    11. Janssen, Maarten C.W. & Karamychev, Vladimir A. & van Reeven, Peran, 2005. "Multi-store competition: Market segmentation or interlacing?," Regional Science and Urban Economics, Elsevier, vol. 35(6), pages 700-714, November.
    12. Nicholas M. Kiefer & Timothy J. Vogelsang & Helle Bunzel, 2000. "Simple Robust Testing of Regression Hypotheses," Econometrica, Econometric Society, vol. 68(3), pages 695-714, May.
    13. Nicholas M. Kiefer & Timothy J. Vogelsang, 2002. "Heteroskedasticity-Autocorrelation Robust Standard Errors Using The Bartlett Kernel Without Truncation," Econometrica, Econometric Society, vol. 70(5), pages 2093-2095, September.
    14. Henkel, Joachim & Stahl, Konrad & Walz, Uwe, 2000. "Coalition Building in a Spatial Economy," Journal of Urban Economics, Elsevier, vol. 47(1), pages 136-163, January.
    15. Bunzel H. & Kiefer N. M. & Vogelsang T. J., 2001. "Simple Robust Testing of Hypotheses in Nonlinear Models," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1088-1096, September.
    16. 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.
    17. Martin, Philippe & Rogers, Carol Ann, 1994. "Trade Effects of Regional Aid," CEPR Discussion Papers 910, C.E.P.R. Discussion Papers.
    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. de Palma, Andre & Lindsey, Robin & von Hohenbalken, Balder & West, Douglas S., 1994. "Spatial price and variety competition in an urban retail market : A nested logit analysis," International Journal of Industrial Organization, Elsevier, vol. 12(3), pages 331-357, September.
    20. Tabuchi, Takatoshi & Thisse, Jacques-Francois, 1995. "Asymmetric equilibria in spatial competition," International Journal of Industrial Organization, Elsevier, vol. 13(2), pages 213-227.
    21. Baldwin,Richard & Haapararanta,Pertti & Kiander,Jaakko (ed.), 1995. "Expanding Membership of the European Union," Cambridge Books, Cambridge University Press, number 9780521481342.
    22. Martinez-Giralt, Xavier & Neven, Damien J, 1988. "Can Price Competition Dominate Market Segmentation?," Journal of Industrial Economics, Wiley Blackwell, vol. 36(4), pages 431-442, June.
    23. Neven, Damien, 1985. "Two Stage (Perfect) Equilibrium in Hotelling's Model," Journal of Industrial Economics, Wiley Blackwell, vol. 33(3), pages 317-325, March.
    24. Kiefer, Nicholas M. & Vogelsang, Timothy J., 2002. "Heteroskedasticity-Autocorrelation Robust Testing Using Bandwidth Equal To Sample Size," Econometric Theory, Cambridge University Press, vol. 18(6), pages 1350-1366, December.
    25. Alastair R. Hall, 2000. "Covariance Matrix Estimation and the Power of the Overidentifying Restrictions Test," Econometrica, Econometric Society, vol. 68(6), pages 1517-1528, November.
    26. Pal, Debashis & Sarkar, Jyotirmoy, 2002. "Spatial competition among multi-store firms," International Journal of Industrial Organization, Elsevier, vol. 20(2), pages 163-190, February.
    27. A. P. Lerner & H. W. Singer, 1937. "Some Notes on Duopoly and Spatial Competition," Journal of Political Economy, University of Chicago Press, vol. 45, pages 145-145.
    28. Neven, Damien J., 1987. "Endogenous sequential entry in a spatial model," International Journal of Industrial Organization, Elsevier, vol. 5(4), pages 419-434.
    29. Paul W. Dobson & Michael Waterson, 2005. "Chain‐Store Pricing Across Local Markets," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 14(1), pages 93-119, March.
    30. Shaked, Avner & Sutton, John, 1983. "Natural Oligopolies," Econometrica, Econometric Society, vol. 51(5), pages 1469-1483, September.
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    Cited by:

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    2. Yi‐Ling Cheng & Takatoshi Tabuchi, 2018. "Multiproduct oligopoly and trade between asymmetric countries," Review of International Economics, Wiley Blackwell, vol. 26(3), pages 524-538, August.
    3. Tabuchi, Takatoshi, 2009. "Self-organizing marketplaces," Journal of Urban Economics, Elsevier, vol. 66(3), pages 179-185, November.
    4. Kelemen, József, 2020. "Szimultán Hotelling-modell Cobb-Douglas-hasznosságfüggvénnyel [A simultaneous Hotelling model with a Cobb-Douglas utility function]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(1), pages 14-30.
    5. repec:rre:publsh:v:38:y:2008:i:1:p:8-28 is not listed on IDEAS
    6. Wang, Xin & Ouyang, Yanfeng, 2013. "A continuum approximation approach to competitive facility location design under facility disruption risks," Transportation Research Part B: Methodological, Elsevier, vol. 50(C), pages 90-103.
    7. Mitsukuni Nishida, 2017. "First-Mover Advantage Through Distribution: A Decomposition Approach," Marketing Science, INFORMS, vol. 36(4), pages 590-609, July.
    8. Kress, Dominik & Pesch, Erwin, 2012. "Sequential competitive location on networks," European Journal of Operational Research, Elsevier, vol. 217(3), pages 483-499.
    9. Karamychev, Vladimir & van Reeven, Peran, 2009. "Retail sprawl and multi-store firms: An analysis of location choice by retail chains," Regional Science and Urban Economics, Elsevier, vol. 39(3), pages 277-286, May.
    10. Iida, Tetsuya & Matsubayashi, Nobuo, 2011. "Strategic multi-store opening under financial constraint," European Journal of Operational Research, Elsevier, vol. 210(2), pages 379-389, April.
    11. Takaki, Masaya & Matsubayashi, Nobuo, 2013. "Sequential multi-store location in a duopoly," Regional Science and Urban Economics, Elsevier, vol. 43(3), pages 491-506.
    12. Chih-Peng Chu & Wen-Chung Guo & Fu-Chuan Lai, 2012. "On the competition between an online bookstore and a physical bookstore," Netnomics, Springer, vol. 13(3), pages 141-154, October.
    13. Toshiharu Ishikawa, 2013. "An analysis of the effects of the variety of items on the retailer's market areas and the urban system," ERSA conference papers ersa13p9, European Regional Science Association.
    14. Takatoshi Tabuchi, 2009. "Hotelling's Spatial Competition Reconsidered," CIRJE F-Series CIRJE-F-674, CIRJE, Faculty of Economics, University of Tokyo.
    15. Gu, Yiquan & Wenzel, Tobias, 2009. "A note on the excess entry theorem in spatial models with elastic demand," International Journal of Industrial Organization, Elsevier, vol. 27(5), pages 567-571, September.
    16. Stefano Colombo & Noriaki Matsushima, 2020. "Competition Between Offline and Online Retailers with Heterogeneous Customers," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 57(3), pages 647-664, November.
    17. repec:zbw:rwirep:0033 is not listed on IDEAS
    18. Matsubayashi, Nobuo & Ishii, Yasuaki & Watanabe, Kentaro & Yamada, Yoshiyasu, 2009. "Full-line or specialization strategy? The negative effect of product variety on product line strategy," European Journal of Operational Research, Elsevier, vol. 196(2), pages 795-807, July.
    19. Hong Hwang & Chao‐Cheng Mai & Hiroshi Ohta, 2010. "Who Benefits From Pricing Regulations When Economic Space Matters?," The Japanese Economic Review, Japanese Economic Association, vol. 61(2), pages 218-233, June.
    20. Yi-Ling Cheng & Shin-Kun Peng, 2012. "Quality and Quantity Competition in a Multiproduct Duopoly," Southern Economic Journal, John Wiley & Sons, vol. 79(1), pages 180-202, July.
    21. Garrido-da-Silva, Liliana & Castro, Sofia B.S.D. & Correia-da-Silva, João, 2022. "Location of housing and industry around city centre amenities," Regional Science and Urban Economics, Elsevier, vol. 95(C).
    22. Yiquan Gu & Tobias Wenzel, 2007. "A Note on the Excess Entry Theorem in Spatial Models with Elastic Demand," Ruhr Economic Papers 0033, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.

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    More about this item

    Keywords

    multi-store firms; multi-product firms; variety competition; spatial preemption; natural oligopoly;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • R30 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - General

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