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Agglomeration under Forward-Looking Expectations: Potentials and Global Stability

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  • Oyama, Daisuke
Abstract
This paper considers a class of migration dynamics with forward-looking agents in a multi-country solvable variant of the core-periphery model of Krugman (Journal of Political Economy 99 (1991)). We find that, under a symmetric externality assumption, our static model admits a potential function, which allows us to identify a stationary state that is uniquely absorbing and globally accessible under the perfect foresight dynamics whenever the degree of friction in relocation decisions is sufficiently small. In particular, when trade barriers are low enough, full agglomeration in the country with the highest barrier is the unique stable state for small frictions. New aspects in trade and tax policy that arise due to forward-looking behavior are discussed.

Suggested Citation

  • Oyama, Daisuke, 2006. "Agglomeration under Forward-Looking Expectations: Potentials and Global Stability," MPRA Paper 15239, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:15239
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    1. 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.
    2. 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.
    3. Diamond, Peter & Fudenberg, Drew, 1989. "Rational Expectations Business Cycles in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 606-619, June.
    4. Oyama, Daisuke & Tercieux, Olivier, 2009. "Iterated potential and robustness of equilibria," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1726-1769, July.
    5. Behrens, Kristian & Thisse, Jacques-Francois, 2007. "Regional economics: A new economic geography perspective," Regional Science and Urban Economics, Elsevier, vol. 37(4), pages 457-465, July.
    6. , & , & ,, 2008. "Monotone methods for equilibrium selection under perfect foresight dynamics," Theoretical Economics, Econometric Society, vol. 3(2), June.
    7. Berliant, Marcus & Kung, Fan-chin, 2009. "Bifurcations in regional migration dynamics," Regional Science and Urban Economics, Elsevier, vol. 39(6), pages 714-720, November.
    8. Vega-Redondo, Fernando, 1997. "Shaping long-run expectations in problems of coordination," European Journal of Political Economy, Elsevier, vol. 13(4), pages 783-806, December.
    9. Mussa, Michael, 1978. "Dynamic Adjustment in the Heckscher-Ohlin-Samuelson Model," Journal of Political Economy, University of Chicago Press, vol. 86(5), pages 775-791, October.
    10. Kiminori Matsuyama, 1992. "A Simple Model of Sectoral Adjustment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(2), pages 375-387.
    11. 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.
    12. Karl-Göran Mäler & Anastasios Xepapadeas & Aart de Zeeuw, 2003. "The Economics of Shallow Lakes," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 603-624, December.
    13. Fujita, Masahisa & Thisse, Jacques-François, 2009. "New Economic Geography: An appraisal on the occasion of Paul Krugman's 2008 Nobel Prize in Economic Sciences," Regional Science and Urban Economics, Elsevier, vol. 39(2), pages 109-119, March.
    14. Matsui Akihiko & Matsuyama Kiminori, 1995. "An Approach to Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 65(2), pages 415-434, April.
    15. Hopkins, Ed, 1999. "Learning, Matching, and Aggregation," Games and Economic Behavior, Elsevier, vol. 26(1), pages 79-110, January.
    16. Baldwin, Richard E., 2001. "Core-periphery model with forward-looking expectations," Regional Science and Urban Economics, Elsevier, vol. 31(1), pages 21-49, February.
    17. Mai, Chao-Cheng & Peng, Shin-Kun & Tabuchi, Takatoshi, 2008. "Economic geography with tariff competition," Regional Science and Urban Economics, Elsevier, vol. 38(5), pages 478-486, September.
    18. William H. Sandholm, 2002. "Evolutionary Implementation and Congestion Pricing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(3), pages 667-689.
    19. Spulber,Daniel F., 2011. "Global Competitive Strategy," Cambridge Books, Cambridge University Press, number 9780521367981, September.
    20. Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
    21. Vasco Leite & Sofia Castro & João Correia-da-Silva, 2009. "The core periphery model with asymmetric inter-regional and intra-regional trade costs," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 8(1), pages 37-44, April.
    22. Sandholm, William H., 2009. "Large population potential games," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1710-1725, July.
    23. Borck, Rainald & Pfluger, Michael, 2006. "Agglomeration and tax competition," European Economic Review, Elsevier, vol. 50(3), pages 647-668, April.
    24. Kiyotaki, Nobuhiro & Wright, Randall, 1991. "A contribution to the pure theory of money," Journal of Economic Theory, Elsevier, vol. 53(2), pages 215-235, April.
    25. 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.
    26. Antoci, Angelo & Gay, Antonio & Landi, Massimiliano & Sacco, Pier Luigi, 2008. "Global analysis of an expectations augmented evolutionary dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 32(12), pages 3877-3894, December.
    27. 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.
    28. Slade, Margaret E, 1994. "What Does an Oligopoly Maximize?," Journal of Industrial Economics, Wiley Blackwell, vol. 42(1), pages 45-61, March.
    29. Sandholm, William H., 2007. "Pigouvian pricing and stochastic evolutionary implementation," Journal of Economic Theory, Elsevier, vol. 132(1), pages 367-382, January.
    30. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    31. Oyama, Daisuke, 2009. "History versus expectations in economic geography reconsidered," Journal of Economic Dynamics and Control, Elsevier, vol. 33(2), pages 394-408, February.
    32. Paul Krugman, 1991. "History versus Expectations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 651-667.
    33. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    34. Sandholm, William H., 2001. "Potential Games with Continuous Player Sets," Journal of Economic Theory, Elsevier, vol. 97(1), pages 81-108, March.
    35. Oyama, Daisuke, 2002. "p-Dominance and Equilibrium Selection under Perfect Foresight Dynamics," Journal of Economic Theory, Elsevier, vol. 107(2), pages 288-310, December.
    36. Martin, Philippe & Rogers, Carol Ann, 1994. "Trade Effects of Regional Aid," CEPR Discussion Papers 910, C.E.P.R. Discussion Papers.
    37. Jianjun Miao, 2005. "Optimal Capital Structure and Industry Dynamics," Journal of Finance, American Finance Association, vol. 60(6), pages 2621-2659, December.
    38. Matsui, Akihiko & Oyama, Daisuke, 2006. "Rationalizable foresight dynamics," Games and Economic Behavior, Elsevier, vol. 56(2), pages 299-322, August.
    39. SCHMEIDLER, David, 1973. "Equilibrium points of nonatomic games," LIDAM Reprints CORE 146, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    40. Swinkels Jeroen M., 1993. "Adjustment Dynamics and Rational Play in Games," Games and Economic Behavior, Elsevier, vol. 5(3), pages 455-484, July.
    41. Baldwin,Richard & Haapararanta,Pertti & Kiander,Jaakko (ed.), 1995. "Expanding Membership of the European Union," Cambridge Books, Cambridge University Press, number 9780521481342, September.
    42. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    43. Gilboa, Itzhak & Matsui, Akihiko, 1991. "Social Stability and Equilibrium," Econometrica, Econometric Society, vol. 59(3), pages 859-867, May.
    44. Ui, Takashi, 2001. "Robust Equilibria of Potential Games," Econometrica, Econometric Society, vol. 69(5), pages 1373-1380, September.
    45. 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.
    46. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    47. Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu, 2008. "Ex-post implementation and preference aggregation via potentials," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(3), pages 469-490, December.
    48. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
    49. Pfluger, Michael, 2004. "A simple, analytically solvable, Chamberlinian agglomeration model," Regional Science and Urban Economics, Elsevier, vol. 34(5), pages 565-573, September.
    50. Kiminori Matsuyama & Takaaki Takahashi, 1998. "Self-Defeating Regional Concentration," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(2), pages 211-234.
    51. Behrens, Kristian & Lamorgese, Andrea R. & Ottaviano, Gianmarco I.P. & Tabuchi, Takatoshi, 2007. "Changes in transport and non-transport costs: Local vs global impacts in a spatial network," Regional Science and Urban Economics, Elsevier, vol. 37(6), pages 625-648, November.
    52. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    53. 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.
    54. Thisse, Jacques-François & Tabuchi, Takatoshi & Zeng, Dao-Zhi, 2002. "On the Number and Size of Cities," CEPR Discussion Papers 3386, C.E.P.R. Discussion Papers.
    55. Thisse, Jacques-François & Fujita, Masahisa, 2008. "New Economic Geography: an appraisal on the occasion of Paul Krugman's 2008 Nobel Prize in Economics," CEPR Discussion Papers 7063, C.E.P.R. Discussion Papers.
    56. 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.
    57. Takatoshi Tabuchi & Jacques-François Thisse & Dao-Zhi Zeng, 2005. "On the number and size of cities*," Journal of Economic Geography, Oxford University Press, vol. 5(4), pages 423-448, August.
    58. Hofbauer, Josef & Sandholm, William H., 2009. "Stable games and their dynamics," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1665-1693.4, July.
    59. Frédéric Robert-Nicoud, 2005. "The structure of simple 'New Economic Geography' models (or, On identical twins)," Journal of Economic Geography, Oxford University Press, vol. 5(2), pages 201-234, April.
    60. Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August.
    61. Alexandre Scheinkman, Jose, 1976. "On optimal steady states of n-sector growth models when utility is discounted," Journal of Economic Theory, Elsevier, vol. 12(1), pages 11-30, February.
    62. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
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    More about this item

    Keywords

    economic geography; agglomeration; perfect foresight dynamics; history versus expectations; stability; potential game; equilibrium selection;
    All these keywords.

    JEL classification:

    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • F12 - International Economics - - Trade - - - Models of Trade with Imperfect Competition and Scale Economies; Fragmentation
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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