IDEAS home Printed from https://ideas.repec.org/p/cor/louvco/2009063.html
   My bibliography  Save this paper

On spatial equilibria in a social interaction model

Author

Listed:
  • MOSSAY, Pascal

    (School of Economics, Henley Business School, University of Reading, U.K.)

  • PICARD, Pierre M.

    (SoSS, University of Manchester, U.K. and Université catholique de Louvain (UCL). Center for Operations Research and Econometrics (CORE))

Abstract

Social interactions are at the essence of societies and explain the gathering of individuals in villages, agglomerations, or cities. We study the emergence of multiple agglomerations as resulting from the interplay between spatial interaction externalities and competition in the land market. We show that the geographical nature of the residential space tremendously affects 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

  • MOSSAY, Pascal & PICARD, Pierre M., 2009. "On spatial equilibria in a social interaction model," LIDAM Discussion Papers CORE 2009063, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:2009063
    as

    Download full text from publisher

    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp2009.html
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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, January.
    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. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818728.
    6. Mathias Dewatripont & Lars Peter Hansen & Stephen Turnovsky, 2003. "Advances in Economics and Econometrics: Theory and Applications, Eighth World Congress," ULB Institutional Repository 2013/176002, ULB -- Universite Libre de Bruxelles.
    7. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524131.
    8. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    9. 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.
    10. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    11. Tabuchi, Takatoshi, 1986. "Urban agglomeration economies in a Linear City," Regional Science and Urban Economics, Elsevier, vol. 16(3), pages 421-436, August.
    12. 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).
    13. María Dolores Furió & Vicente Meneu, 2009. "Expectations and Forward Risk Premium in the Spanish Power Market," Working Papers. Serie AD 2009-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    14. 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.
    15. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818742.
    16. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524117.
    17. 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.
    18. 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.
    19. Mossay, Pascal, 2003. "Increasing returns and heterogeneity in a spatial economy," Regional Science and Urban Economics, Elsevier, vol. 33(4), pages 419-444, July.
    20. 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).
    21. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818735.
    22. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524124.
    23. Robert E. Lucas & Esteban Rossi-Hansberg, 2002. "On the Internal Structure of Cities," Econometrica, Econometric Society, vol. 70(4), pages 1445-1476, July.
    24. 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.
    25. Mathias Dewatripont & Lars Peter Hansen & Stephen Turnovsky, 2003. "Advances in economics and econometrics :theory and applications," ULB Institutional Repository 2013/9557, ULB -- Universite Libre de Bruxelles.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Adrien BLANCHET & Pascal MOSSAY & Filippo SANTAMBROGIO, 2013. "Existence and Uniqueness of Equilibrium for a Spatial Model of Social Interactions," Discussion papers 13055, Research Institute of Economy, Trade and Industry (RIETI).
    2. Adrien Blanchet & Pascal Mossay & Filippo Santambrogio, 2016. "Existence And Uniqueness Of Equilibrium For A Spatial Model Of Social Interactions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(1), pages 31-60, February.
    3. Bragard, Jean & Mossay, Pascal, 2016. "Stability of a spatial model of social interactions," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 140-146.
    4. Grover,Arti & Lall,Somik V., 2016. "Jobs in the city : explaining urban spatial structure in Kampala," Policy Research Working Paper Series 7655, The World Bank.
    5. Koster, Hans R.A. & Rouwendal, Jan, 2013. "Agglomeration, commuting costs, and the internal structure of cities," Regional Science and Urban Economics, Elsevier, vol. 43(2), pages 352-366.
    6. Picard, Pierre M. & Tabuchi, Takatoshi, 2013. "On microfoundations of the city," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2561-2582.
    7. Hans R. A. Koster & Piet Rietveld & Jos N. van Ommerren, 2011. "Is the Sky the Limit? An Analysis of High-Rise Office Buildings," SERC Discussion Papers 0086, Centre for Economic Performance, LSE.
    8. Akamatsu, Takashi & Takayama, Yuki & Ikeda, Kiyohiro, 2012. "Spatial discounting, Fourier, and racetrack economy: A recipe for the analysis of spatial agglomeration models," Journal of Economic Dynamics and Control, Elsevier, vol. 36(11), pages 1729-1759.
    9. David Card & Alexandre Mas & Jesse Rothstein, 2008. "Are Mixed Neighborhoods Always Unstable? Two-Sided and One-Sided Tipping," NBER Working Papers 14470, National Bureau of Economic Research, Inc.
    10. Koster, Hans R.A. & van Ommeren, Jos & Rietveld, Piet, 2014. "Estimation of semiparametric sorting models: Explaining geographical concentration of business services," Regional Science and Urban Economics, Elsevier, vol. 44(C), pages 14-28.
    11. Raffaella Santolini, 2009. "The political trend in local government tax setting," Public Choice, Springer, vol. 139(1), pages 125-134, April.
    12. Christian Hellwig, 2004. "Heterogeneous Information and the Benefits of Public Information Disclosures (October 2005)," UCLA Economics Online Papers 283, UCLA Department of Economics.
    13. Christoph Breunig, 2019. "Goodness-of-Fit Tests based on Series Estimators in Nonparametric Instrumental Regression," Papers 1909.10133, arXiv.org.
    14. Buccirossi, Paolo & Spagnolo, Giancarlo, 2006. "Leniency policies and illegal transactions," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1281-1297, August.
    15. Yoo, Seung Han, 2014. "Learning a population distribution," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 188-201.
    16. Chassang, Sylvain, 2008. "Uniform selection in global games," Journal of Economic Theory, Elsevier, vol. 139(1), pages 222-241, March.
    17. Kasahara, Tetsuya, 2009. "Coordination failure among multiple lenders and the role and effects of public policy," Journal of Financial Stability, Elsevier, vol. 5(2), pages 183-198, June.
    18. Stolpe, Michael, 2004. "Europe's entry into the venture capital business: efficiency and policy," Kiel Working Papers 1223, Kiel Institute for the World Economy (IfW Kiel).
    19. Ahnert, Toni & Martinez-Miera, David, 2021. "Bank Runs, Bank Competition and Opacity," VfS Annual Conference 2021 (Virtual Conference): Climate Economics 242348, Verein für Socialpolitik / German Economic Association.
    20. Stephen Morris & Ming Yang, 2016. "Coordination and the Relative Cost of Distinguishing Nearby States," Working Papers 079_2016, Princeton University, Department of Economics, Econometric Research Program..

    More about this item

    Keywords

    social interaction; multiple agglomerations; spatial economy;
    All these keywords.

    JEL classification:

    • R10 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - General
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • R13 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - General Equilibrium and Welfare Economic Analysis of Regional Economies

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cor:louvco:2009063. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Alain GILLIS (email available below). General contact details of provider: https://edirc.repec.org/data/coreebe.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.