IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/9287.html
   My bibliography  Save this paper

History versus Expectations in Economic Geography Reconsidered

Author

Listed:
  • Oyama, Daisuke

Abstract

This paper studies global stability of spatial configurations in a dynamic two-region model with quadratic adjustment costs where rational migrants make migration decisions so as to maximize their discounted future utilities. A global analysis is conducted to show that, except for knife-edge cases with symmetric regions, there exists a unique spatial configuration that is absorbing and globally accessible whenever the degree of friction is sufficiently small, and such a configuration is characterized as the unique maximizer of the potential function of the underlying static model.

Suggested Citation

  • Oyama, Daisuke, 2006. "History versus Expectations in Economic Geography Reconsidered," MPRA Paper 9287, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:9287
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/9287/2/MPRA_paper_9287.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kyoji Fukao & Roland Benabou, 1993. "History Versus Expectations: A Comment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(2), pages 535-542.
    2. Rikard Forslid & Gianmarco I.P. Ottaviano, 2003. "An analytically solvable core-periphery model," Journal of Economic Geography, Oxford University Press, vol. 3(3), pages 229-240, July.
    3. Baldwin, Richard E., 2001. "Core-periphery model with forward-looking expectations," Regional Science and Urban Economics, Elsevier, vol. 31(1), pages 21-49, February.
    4. , & , & ,, 2008. "Monotone methods for equilibrium selection under perfect foresight dynamics," Theoretical Economics, Econometric Society, vol. 3(2), June.
    5. Richard Baldwin & Rikard Forslid & Philippe Martin & Gianmarco Ottaviano & Frederic Robert-Nicoud, 2005. "Economic Geography and Public Policy," Economics Books, Princeton University Press, edition 1, number 7524.
    6. Ottaviano, Gianmarco I. P., 2001. "Monopolistic competition, trade, and endogenous spatial fluctuations," Regional Science and Urban Economics, Elsevier, vol. 31(1), pages 51-77, February.
    7. Kaneda, Mitsuhiro, 2003. "Policy designs in a dynamic model of infant industry protection," Journal of Development Economics, Elsevier, vol. 72(1), pages 91-115, October.
    8. Paul Krugman, 1991. "History versus Expectations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 651-667.
    9. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    10. Matsui Akihiko & Matsuyama Kiminori, 1995. "An Approach to Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 65(2), pages 415-434, April.
    11. Oyama, Daisuke, 2009. "Agglomeration under forward-looking expectations: Potentials and global stability," Regional Science and Urban Economics, Elsevier, vol. 39(6), pages 696-713, November.
    12. Hofbauer, Josef & Sorger, Gerhard, 1999. "Perfect Foresight and Equilibrium Selection in Symmetric Potential Games," Journal of Economic Theory, Elsevier, vol. 85(1), pages 1-23, March.
    13. Josef Hofbauer & Gerhard Sorger, 2002. "A Differential Game Approach To Evolutionary Equilibrium Selection," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 17-31.
    14. Suresh P. Sethi, 2021. "Optimal Control Theory," Springer Texts in Business and Economics, Springer, edition 4, number 978-3-030-91745-6, October.
    15. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    16. Richard Baldwin & Rikard Forslid & Philippe Martin & Gianmarco Ottaviano & Frederic Robert-Nicoud, 2005. "Economic Geography and Public Policy," Economics Books, Princeton University Press, edition 1, number 7524.
    17. Kiminori Matsuyama, 1991. "Increasing Returns, Industrialization, and Indeterminacy of Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 617-650.
    18. Sandholm, William H., 2001. "Potential Games with Continuous Player Sets," Journal of Economic Theory, Elsevier, vol. 97(1), pages 81-108, March.
    19. Oyama, Daisuke, 2002. "p-Dominance and Equilibrium Selection under Perfect Foresight Dynamics," Journal of Economic Theory, Elsevier, vol. 107(2), pages 288-310, December.
    20. Matsuyama, Kiminori, 1992. "The market size, entrepreneurship, and the big push," Journal of the Japanese and International Economies, Elsevier, vol. 6(4), pages 347-364, December.
    21. , & , & ,, 2008. "Monotone methods for equilibrium selection under perfect foresight dynamics," Theoretical Economics, Econometric Society, vol. 3(2), June.
    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. Oyama, Daisuke, 2009. "Agglomeration under forward-looking expectations: Potentials and global stability," Regional Science and Urban Economics, Elsevier, vol. 39(6), pages 696-713, November.
    2. Oyama, Daisuke & Tercieux, Olivier, 2009. "Iterated potential and robustness of equilibria," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1726-1769, July.
    3. Daisuke Oyama & Satoru Takahashi & Josef Hofbauer, 2011. "Perfect foresight dynamics in binary supermodular games," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(3), pages 251-267, September.
    4. Anna Agliari & Pasquale Commendatore & Ilaria Foroni & Ingrid Kubin, 2014. "Expectations and industry location: a discrete time dynamical analysis," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 3-26, April.
    5. Matsui, Akihiko & Oyama, Daisuke, 2006. "Rationalizable foresight dynamics," Games and Economic Behavior, Elsevier, vol. 56(2), pages 299-322, August.
    6. Kato, Hayato, 2015. "The importance of government commitment in attracting firms: A dynamic analysis of tax competition in an agglomeration economy," European Economic Review, Elsevier, vol. 74(C), pages 57-78.
    7. José M. Gaspar, 2018. "A prospective review on New Economic Geography," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 61(2), pages 237-272, September.
    8. Fujishima, Shota, 2013. "Evolutionary implementation of optimal city size distributions," Regional Science and Urban Economics, Elsevier, vol. 43(2), pages 404-410.
    9. Mossay, Pascal, 2013. "A theory of rational spatial agglomerations," Regional Science and Urban Economics, Elsevier, vol. 43(2), pages 385-394.
    10. Barreda-Tarrazona, Iván & Kundu, Tapas & Østbye, Stein, 2021. "On rational forward-looking behavior in economic geography: An experimental analysis," Regional Science and Urban Economics, Elsevier, vol. 87(C).
    11. , & , & ,, 2008. "Monotone methods for equilibrium selection under perfect foresight dynamics," Theoretical Economics, Econometric Society, vol. 3(2), June.
    12. Federico Trionfetti, 2015. "Public Debt and Economic Geography," International Regional Science Review, , vol. 38(1), pages 92-113, January.
    13. José Gaspar & Sofia Balbina Santos Dias de Castro & João Correia da Silva, 2013. "The Footloose Entrepreneur Model with 3 Regions," FEP Working Papers 496, Universidade do Porto, Faculdade de Economia do Porto.
    14. Takashi Akamatsu & Tomoya Mori & Yuki Takayama, 2015. "Agglomerations in a multi-region economy: Poly-centric versus mono-centric patterns," KIER Working Papers 929, Kyoto University, Institute of Economic Research.
    15. Ottaviano, Gianmarco & Thisse, Jacques-Francois, 2004. "Agglomeration and economic geography," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 58, pages 2563-2608, Elsevier.
    16. Lapo Valentina, 2007. "Welfare-maximizing regional government: who benefits from it?," EERC Working Paper Series 07-01e, EERC Research Network, Russia and CIS.
    17. Fabien Candau, 2008. "Entrepreneurs' Location Choice And Public Policies: A Survey Of The New Economic Geography," Journal of Economic Surveys, Wiley Blackwell, vol. 22(5), pages 909-952, December.
    18. Stephen J. Redding, 2013. "Economic Geography: A Review of the Theoretical and Empirical Literature," Palgrave Macmillan Books, in: Daniel Bernhofen & Rod Falvey & David Greenaway & Udo Kreickemeier (ed.), Palgrave Handbook of International Trade, chapter 16, pages 497-531, Palgrave Macmillan.
    19. Kojima, Fuhito, 2006. "Risk-dominance and perfect foresight dynamics in N-player games," Journal of Economic Theory, Elsevier, vol. 128(1), pages 255-273, May.
    20. Fabien Candau, 2008. "Good governance, trade and agglomeration," Papers in Regional Science, Wiley Blackwell, vol. 87(4), pages 483-504, November.

    More about this item

    Keywords

    economic geography; mutiple equilibria; forward-looking expectation; global stability; potential;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

    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:pra:mprapa:9287. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.