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Self-organization of hexagonal agglomeration patterns in new economic geography models

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  • Ikeda, Kiyohiro
  • Murota, Kazuo
  • Akamatsu, Takashi
  • Kono, Tatsuhito
  • Takayama, Yuki

Abstract

Self-organization of agglomeration patterns for economic models in a two-dimensional economic space is studied from a multi-disciplinary viewpoint of new economic geography, central place theory, and bifurcation theory. Emergence of hexagonal distributions of various sizes in a homogeneous space is predicted theoretically for core–periphery models. The existence of hexagonal distributions as stable equilibria is demonstrated by a comparative static analysis with respect to transport costs for specific core–periphery models. These distributions are the ones envisaged by central place theory and also inferred to emerge by Krugman (1996) for a core–periphery model in two dimensions.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Behavior & Organization.

Volume (Year): 99 (2014)
Issue (Month): C ()
Pages: 32-52

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Handle: RePEc:eee:jeborg:v:99:y:2014:i:c:p:32-52

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Web page: http://www.elsevier.com/locate/jebo

Related research

Keywords: Bifurcation; Central place theory; Core–periphery models; Group-theoretic bifurcation theory; Hexagons; New economic geography; Self-organization;

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  1. Y Ioannides & Henry Overman, 2000. "Spatial Evolution of the US Urban System," CEP Discussion Papers dp0482, Centre for Economic Performance, LSE.
  2. Paul Krugman, 1990. "Increasing Returns and Economic Geography," NBER Working Papers 3275, National Bureau of Economic Research, Inc.
  3. Eaton, B Curtis & Lipsey, Richard G, 1975. "The Principle of Minimum Differentiation Reconsidered: Some New Developments in the Theory of Spatial Competition," Review of Economic Studies, Wiley Blackwell, vol. 42(1), pages 27-49, January.
  4. J. Peter Neary, 2000. "Of Hype and Hyperbolas - Introducing the new Economic Geography," Working Papers 200019, School Of Economics, University College Dublin.
  5. Hofbauer, Josef & Sandholm, William H., 2007. "Evolution in games with randomly disturbed payoffs," Journal of Economic Theory, Elsevier, vol. 132(1), pages 47-69, January.
  6. N Sanglier & P M Allen, 1989. "Evolutionary models of urban systems: an application to the Belgian provinces," Environment and Planning A, Pion Ltd, London, vol. 21(4), pages 477-498, April.
  7. TABUCHI, Takatoshi & THISSE, Jacques-François, . "Taste heterogeneity, labor mobility and economic geography," CORE Discussion Papers RP -1570, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Pierre Picard & Takatoshi Tabuchi, 2010. "Self-organized agglomerations and transport costs," Economic Theory, Springer, vol. 42(3), pages 565-589, March.
  9. Munz, M & Weidlich, W, 1990. "Settlement Formation: Part II: Numerical Simulation," The Annals of Regional Science, Springer, vol. 24(3), pages 177-96.
  10. 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.
  11. TABUCHI, Takatoshi & THISSE, Jacques-François, . "A new economic geography model of central places," CORE Discussion Papers RP -2267, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  12. Murata, Yasusada, 2003. "Product diversity, taste heterogeneity, and geographic distribution of economic activities:: market vs. non-market interactions," Journal of Urban Economics, Elsevier, vol. 53(1), pages 126-144, January.
  13. Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, vol. 37(2-3), pages 293-298, April.
  14. Drew Fudenberg & David K. Levine, 1996. "The Theory of Learning in Games," Levine's Working Paper Archive 624, David K. Levine.
  15. 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.
  16. 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.
  17. David Barker, 2012. "Slime mold cities," Environment and Planning B: Planning and Design, Pion Ltd, London, vol. 39(2), pages 262-286, March.
  18. Eaton, B Curtis & Lipsey, Richard G, 1982. "An Economic Theory of Central Places," Economic Journal, Royal Economic Society, vol. 92(365), pages 56-72, March.
  19. 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.
  20. Fujita, Masahisa & Mori, Tomoya, 2005. "Frontiers of the New Economic Geography," IDE Discussion Papers 27, Institute of Developing Economies, Japan External Trade Organization(JETRO).
  21. 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.
  22. Flam, Harry & Helpman, Elhanan, 1987. "Industrial policy under monopolistic competition," Journal of International Economics, Elsevier, vol. 22(1-2), pages 79-102, February.
  23. Dirk Stelder, 2005. "Where Do Cities Form? A Geographical Agglomeration Model for Europe," Journal of Regional Science, Wiley Blackwell, vol. 45(4), pages 657-679.
  24. Fujita, Masahisa & Krugman, Paul & Mori, Tomoya, 1999. "On the evolution of hierarchical urban systems1," European Economic Review, Elsevier, vol. 43(2), pages 209-251, February.
  25. Maarten Bosker & Steven Brakman & Harry Garretsen & Marc Schramm, 2010. "Adding geography to the new economic geography: bridging the gap between theory and empirics," Journal of Economic Geography, Oxford University Press, vol. 10(6), pages 793-823, November.
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