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Two-dimensional Geographical Position as a Factor in Determining the Growth and Decline of Retail Agglomeration

Author

Listed:
  • Aizawa, Hiroki
  • Kono, Tatsuhito

Abstract

We investigate where retail stores agglomerate in a road network with radial roads and a ring road in a two-dimensional space. Per-distance travel cost on the radial roads can be different from that on the ring road. The transition of the two-dimensional agglomeration patterns of retail stores is investigated with decreases in the travel costs. Results show 1) a difference in improvement sequences in the radial and ring roads generates a difference in the agglomeration patterns with different welfare levels and 2) how the two-dimensional geographical position of shopping agglomerations ensuring the highest welfare level differs from that in equilibrium.

Suggested Citation

  • Aizawa, Hiroki & Kono, Tatsuhito, 2022. "Two-dimensional Geographical Position as a Factor in Determining the Growth and Decline of Retail Agglomeration," MPRA Paper 112274, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:112274
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    References listed on IDEAS

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    1. Hyunho Kim & Konstantinos Serfes, 2006. "A Location Model With Preference For Variety," Journal of Industrial Economics, Wiley Blackwell, vol. 54(4), pages 569-595, December.
    2. Masahisa Fujita & Jacques-François Thisse, 1986. "Spatial Competition with a Land Market: Hotelling and Von Thunen Unified," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 819-841.
    3. Ikeda, Kiyohiro & Murota, Kazuo & Akamatsu, Takashi & Kono, Tatsuhito & Takayama, Yuki, 2014. "Self-organization of hexagonal agglomeration patterns in new economic geography models," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 32-52.
    4. 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.
    5. Irmen, Andreas & Thisse, Jacques-Francois, 1998. "Competition in Multi-characteristics Spaces: Hotelling Was Almost Right," Journal of Economic Theory, Elsevier, vol. 78(1), pages 76-102, January.
    6. Ikeda, Kiyohiro & Akamatsu, Takashi & Kono, Tatsuhito, 2012. "Spatial period-doubling agglomeration of a core–periphery model with a system of cities," Journal of Economic Dynamics and Control, Elsevier, vol. 36(5), pages 754-778.
    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. Kiyohiro Ikeda & Kazuo Murota & Yuki Takayama, 2017. "Stable Economic Agglomeration Patterns In Two Dimensions: Beyond The Scope Of Central Place Theory," Journal of Regional Science, Wiley Blackwell, vol. 57(1), pages 132-172, January.
    9. Tatsuhito Kono & Kirti Kusum Joshi, 2018. "Spatial externalities and land use regulation: an integrated set of multiple density regulations," Journal of Economic Geography, Oxford University Press, vol. 18(3), pages 571-598.
    10. Takanori Ago, 2008. "Central agglomeration of monopolistically competitive firms," Journal of Economic Geography, Oxford University Press, vol. 8(6), pages 811-823, November.
    11. Brandão, António & Correia-da-Silva, João & Pinho, Joana, 2014. "Spatial competition between shopping centers," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 234-250.
    12. Tabuchi, Takatoshi, 2009. "Self-organizing marketplaces," Journal of Urban Economics, Elsevier, vol. 66(3), pages 179-185, November.
    13. Ushchev, Philip & Sloev, Igor & Thisse, Jacques-François, 2015. "Do we go shopping downtown or in the ‘burbs?," Journal of Urban Economics, Elsevier, vol. 85(C), pages 1-15.
    14. Capozza, Dennis R & Van Order, Robert, 1977. "Pricing under Spatial Competition and Spatial Monopoly," Econometrica, Econometric Society, vol. 45(6), pages 1329-1338, September.
    15. Minoru Osawa & Takashi Akamatsu & Yuki Takayama, 2017. "Harris And Wilson (1978) Model Revisited: The Spatial Period‐Doubling Cascade In An Urban Retail Model," Journal of Regional Science, Wiley Blackwell, vol. 57(3), pages 442-466, June.
    16. Wen-Chung Guo & Fu-Chuan Lai, 2015. "Spatial Cournot competition in a linear–circular market," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 54(3), pages 819-834, May.
    17. Tabuchi, Takatoshi, 1994. "Two-stage two-dimensional spatial competition between two firms," Regional Science and Urban Economics, Elsevier, vol. 24(2), pages 207-227, April.
    18. Simon P. Anderson & Øystein Foros & Hans Jarle Kind, 2017. "Product Functionality, Competition, And Multipurchasing," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(1), pages 183-210, February.
    19. Ralph Braid, 2013. "The locations of firms on intersecting roadways," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 50(3), pages 791-808, June.
    20. Gordon F. Mulligan, 1996. "Myopic Spatial Competition: Boundary Effects And Network Solutions," Papers in Regional Science, Wiley Blackwell, vol. 75(2), pages 155-176, April.
    21. Mun, Se-il, 1997. "Transport Network and System of Cities," Journal of Urban Economics, Elsevier, vol. 42(2), pages 205-221, September.
    22. Akio Kishi & Tatsuhito Kono & Yoshitaka Nozoe, 2015. "Location of Retail Stores in City Center and Outskirts under Spatial Price Competition: Improvements in Radial and Ring Roads," The Review of Regional Studies, Southern Regional Science Association, vol. 45(2), pages 173-194, Fall.
    23. Wen-Chung Guo & Fu-Chuan Lai, 2017. "Prices, Locations and Welfare When an Online Retailer Competes with Heterogeneous Brick-and-Mortar Retailers," Journal of Industrial Economics, Wiley Blackwell, vol. 65(2), pages 439-468, June.
    24. Simon P. Anderson & Øystein Foros & Hans Jarle Kind, 2017. "Product Functionality, Competition, And Multipurchasing," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58, pages 183-210, February.
    25. Bergstrand, Jeffrey H. & Egger, Peter & Larch, Mario, 2013. "Gravity Redux: Estimation of gravity-equation coefficients, elasticities of substitution, and general equilibrium comparative statics under asymmetric bilateral trade costs," Journal of International Economics, Elsevier, vol. 89(1), pages 110-121.
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    More about this item

    Keywords

    Agglomeration; Bifurcation; Monopolistic competition; Two-dimensional road network;
    All these keywords.

    JEL classification:

    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
    • R1 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics
    • R4 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics

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