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On Spatial Equilibria in a Social Interaction Model

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  • Pascal Mossay
  • Pierre M. Picard

    () (CREA, University of Luxembourg)

Abstract

Social interactions are at the essence of societies and explain the gathering of in- dividuals in villages, agglomerations, or cities. We study the emergence of multiple agglomerations as resulting from the interplay between spatial interaction external- ities and competition in the land market. We show that the geographical nature of the residential space tremendously a¤ects the properties of spatial equilibria. In particular, when agents locate on an open land strip (line segment), a single city emerges in equilibrium. In contrast, when the spatial economy extends along a closed land strip (circumference), multiple equilibria with odd numbers of cities arise. Spatial equilibrium configurations involve a high degree of spatial symmetry in terms of city size and location, and can be Pareto-ranked.

Suggested Citation

  • Pascal Mossay & Pierre M. Picard, 2009. "On Spatial Equilibria in a Social Interaction Model," CREA Discussion Paper Series 09-02, Center for Research in Economic Analysis, University of Luxembourg.
  • Handle: RePEc:luc:wpaper:09-02
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    References listed on IDEAS

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    1. Cuberes, David & Dougan, William, 2009. "How Endogenous Is Money? Evidence from a New Microeconomic Estimate," MPRA Paper 17744, University Library of Munich, Germany.
    2. Edward L. Glaeser & Jose Scheinkman, 2000. "Non-Market Interactions," NBER Working Papers 8053, National Bureau of Economic Research, Inc.
    3. Fujita,Masahisa, 1991. "Urban Economic Theory," Cambridge Books, Cambridge University Press, number 9780521396455.
    4. Pierre Picard & Takatoshi Tabuchi, 2010. "Self-organized agglomerations and transport costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(3), pages 565-589, March.
    5. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    6. Maliar, Lilia & Maliar, Serguei & Valli, Fernando, 2010. "Solving the incomplete markets model with aggregate uncertainty using the Krusell-Smith algorithm," Journal of Economic Dynamics and Control, Elsevier, vol. 34(1), pages 42-49, January.
    7. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    8. Tabuchi, Takatoshi, 1986. "Urban agglomeration economies in a Linear City," Regional Science and Urban Economics, Elsevier, vol. 16(3), pages 421-436, August.
    9. Pascal Mossay, 2003. "Increasing Returns And Heterogeneity In A Spatial Economy," Working Papers. Serie AD 2003-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    10. Menner, Martin, 2007. "The role of search frictions for output and inflation dynamics: a Bayesian assessment," UC3M Working papers. Economics we076235, Universidad Carlos III de Madrid. Departamento de Economía.
    11. Berliant, Marcus & Peng, Shin-Kun & Wang, Ping, 2002. "Production Externalities and Urban Configuration," Journal of Economic Theory, Elsevier, vol. 104(2), pages 275-303, June.
    12. Fujita, Masahisa & Ogawa, Hideaki, 1982. "Multiple equilibria and structural transition of non-monocentric urban configurations," Regional Science and Urban Economics, Elsevier, vol. 12(2), pages 161-196, May.
    13. Mossay, Pascal, 2003. "Increasing returns and heterogeneity in a spatial economy," Regional Science and Urban Economics, Elsevier, vol. 33(4), pages 419-444, July.
    14. José J. Sempere Monerris & Rafael Moner Colonques & Amparo Urbano Salvador, 2010. "Trade liberalization in vertically related markets," Working Papers. Serie AD 2010-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    15. Robert E. Lucas & Esteban Rossi-Hansberg, 2002. "On the Internal Structure of Cities," Econometrica, Econometric Society, vol. 70(4), pages 1445-1476, July.
    16. Berliant, Marcus & Wang, Ping, 2008. "Urban growth and subcenter formation: A trolley ride from the Staples Center to Disneyland and the Rose Bowl," Journal of Urban Economics, Elsevier, vol. 63(2), pages 679-693, March.
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    Citations

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    Cited by:

    1. Behrens, Kristian & Robert-Nicoud, Frédéric, 2015. "Agglomeration Theory with Heterogeneous Agents," Handbook of Regional and Urban Economics, Elsevier.
    2. Patacchini, Eleonora & Picard, Pierre M & Zenou, Yves, 2015. "Urban Social Structure, Social Capital and Spatial Proximity," CEPR Discussion Papers 10501, C.E.P.R. Discussion Papers.
    3. repec:bla:ijethy:v:13:y:2017:i:1:p:113-145 is not listed on IDEAS
    4. Helsley, Robert W. & Zenou, Yves, 2014. "Social networks and interactions in cities," Journal of Economic Theory, Elsevier, vol. 150(C), pages 426-466.
    5. Takayama, Yuki, 2015. "Bottleneck congestion and distribution of work start times: The economics of staggered work hours revisited," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 830-847.
    6. Smicha Ait Amokthar & Nadjia El Saadi & Yacine Belarbi, 2015. "Mod\'{e}lisation spatiale de la formation des agglom\'{e}rations dans la zone alg\'{e}roise," Papers 1508.00511, arXiv.org.
    7. Picard, Pierre M. & Zenou, Yves, 2018. "Urban spatial structure, employment and social ties," Journal of Urban Economics, Elsevier, vol. 104(C), pages 77-93.
    8. Sato, Yasuhiro & Zenou, Yves, 2015. "How urbanization affect employment and social interactions," European Economic Review, Elsevier, vol. 75(C), pages 131-155.
    9. Topa, Giorgio & Zenou, Yves, 2015. "Neighborhood and Network Effects," Handbook of Regional and Urban Economics, Elsevier.
    10. Akamatsu, Takashi & Fujishima, Shota & Takayama, Yuki, 2014. "On Stable Equilibria in Discrete-Space Social Interaction Models," MPRA Paper 55938, University Library of Munich, Germany.
    11. Kiyohiro Ikeda & Kazuo Murota & Takashi Akamatsu & Yuki Takayama, 2017. "Agglomeration patterns in a long narrow economy of a new economic geography model: Analogy to a racetrack economy," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(1), pages 113-145, March.
    12. Picard, Pierre M. & Tabuchi, Takatoshi, 2013. "On microfoundations of the city," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2561-2582.
    13. Akamatsu, Takashi & Mori, Tomoya & Osawa, Minoru & Takayama, Yuki, 2017. "Spatial scale of agglomeration and dispersion: Theoretical foundations and empirical implications," MPRA Paper 80689, University Library of Munich, Germany.
    14. Ikeda, Kiyohiro & Onda, Mikihisa & Takayama, Yuki, 2018. "Bifurcation theory of a racetrack economy in a spatial economy model," MPRA Paper 86923, University Library of Munich, Germany.
    15. Christian Ghiglino & Antonella Nocco, 2017. "When Veblen meets Krugman: social network and city dynamics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 431-470, February.
    16. Akamatsu, Takashi & Fujishima, Shota & Takayama, Yuki, 2017. "Discrete-space agglomeration model with social interactions: Multiplicity, stability, and continuous limit of equilibria," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 22-37.
    17. Picard, Pierre M. & Zenou, Yves, 2015. "Urban Spatial Structure, Employment and Social Ties: European versus American Cities," IZA Discussion Papers 9166, Institute for the Study of Labor (IZA).
    18. Nikita Malykhin & Philip Ushchev, 2016. "Clustering or Co-Agglomeration? A Love-for-Variety Approach," HSE Working papers WP BRP 140/EC/2016, National Research University Higher School of Economics.
    19. repec:bla:manchs:v:85:y:2017:i:6:p:744-764 is not listed on IDEAS
    20. Vincent Boitier, 2014. "Unemployment Dispersion and City Configurations: Beyond the Bid Rent Theory," Working Papers hal-00999559, HAL.

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    JEL classification:

    • A10 - General Economics and Teaching - - General Economics - - - General

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