Bifurcation Theory of a Racetrack Economy in a Spatial Economy Model
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DOI: 10.1007/s11067-018-9423-0
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- 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.
References listed on IDEAS
- 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.
- BEHRENS, Kristian & THISSE, Jacques-François, 2007. "Regional economics: a new economic geography perspective," LIDAM Reprints CORE 1946, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Sofia B. S. D. Castro & Joao Correia-da-Silva & Pascal Mossay, 2009. "The core-periphery model with three regions," FEP Working Papers 325, Universidade do Porto, Faculdade de Economia do Porto.
- 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.
- IKEDA Kiyohiro & MUROTA Kazuo & AKAMATSU Takashi & TAKAYAMA Yuki, 2016. "Agglomeration Patterns in a Long Narrow Economy of a New Economic Geography Model: Analogy to a racetrack economy," Discussion papers 16018, Research Institute of Economy, Trade and Industry (RIETI).
- Zheng Shi & Zheng Wen & Jin Xia, 2010. "A Simple, Analytically Solvable, Dual-Space Economic Agglomerations Model," Networks and Spatial Economics, Springer, vol. 10(2), pages 261-271, June.
- Sofia B.S.D. Castro & João Correia-da-Silva & Pascal Mossay, 2012. "The core-periphery model with three regions and more," Papers in Regional Science, Wiley Blackwell, vol. 91(2), pages 401-418, June.
- 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.
- Ikeda, Kiyohrio & Onda, Mikihisa & Takayama, Yuki, 2017. "Bifurcation theory of a square lattice economy: Racetrack economy analogy in an economic geography model," MPRA Paper 78120, University Library of Munich, Germany.
- Mossay, P. & Picard, P.M., 2011.
"On spatial equilibria in a social interaction model,"
Journal of Economic Theory, Elsevier, vol. 146(6), pages 2455-2477.
- 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).
- Pascal Mossay & Pierre M. Picard, 2009. "On Spatial Equilibria in a Social Interaction Model," DEM Discussion Paper Series 09-02, Department of Economics at the University of Luxembourg.
- MOSSAY, Pascal & PICARD, Pierre M., 2011. "On spatial equilibria in a social interaction model," LIDAM Reprints CORE 2436, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Pierre M. Picard & Pascal Mossay, 2010. "On spatial equilibria in a social interaction model," Working Papers. Serie AD 2010-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- 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.
- Pierre Picard & Takatoshi Tabuchi, 2007. "Self-organized Agglomerations and Transport Costs," Economics Discussion Paper Series 0712, Economics, The University of Manchester.
- PICARD, Pierre M. & TABUCHI, Takatoshi, 2010. "Self-organized agglomerations and transport costs," LIDAM Reprints CORE 2182, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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.
- Ikeda, Kiyohiro & Akamatsu, Takashi & Kono, Tatsuhito, 2009. "Spatial Period-Doubling Agglomeration of a Core-Periphery Model with a System of Cities," MPRA Paper 25636, University Library of Munich, Germany.
- Ikeda, Kiyohiro & Murota, Kazuo & Akamatsu, Takashi & Kono, Tatsuhito & Takayama, Yuki, 2014. "Self-organization of hexagonal agglomeration patterns in new economic geography models," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 32-52.
- Tabuchi, Takatoshi & Thisse, Jacques-François, 2011.
"A new economic geography model of central places,"
Journal of Urban Economics, Elsevier, vol. 69(2), pages 240-252, March.
- TABUCHI, Takatoshi & THISSE, Jacques-François, 2011. "A new economic geography model of central places," LIDAM Reprints CORE 2267, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, vol. 37(2-3), pages 293-298, April.
- 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.
- Akamatsu, Takashi & Takayama, Yuki & Ikeda, Kiyohiro, 2009. "Spatial Discounting, Fourier, and Racetrack Economy: A Recipe for the Analysis of Spatial Agglomeration Models," MPRA Paper 21738, University Library of Munich, Germany, revised 25 Dec 2009.
- Minoru Osawa & Takashi Akamatsu & Yuki Takayama, 2017.
"Harris And Wilson (1978) Model Revisited: The Spatial Period‐Doubling Cascade In An Urban Retail Model,"
Journal of Regional Science, Wiley Blackwell, vol. 57(3), pages 442-466, June.
- Akamatsu, Takashi & Osawa, Minoru & Takayama, Yuki, 2015. "Harris and Wilson (1978) Model Revisited: The Spatial Period-doubling Cascade in an Urban Retail Model," MPRA Paper 67974, University Library of Munich, Germany.
- Alex Anas, 2004.
"Vanishing cities: what does the new economic geography imply about the efficiency of urbanization?,"
Journal of Economic Geography, Oxford University Press, vol. 4(2), pages 181-199, April.
- Alex Anas, 2003. "Vanishing Cities: What Does the New Economic Geography Imply About the Efficiency of Urbanization?," Urban/Regional 0302005, University Library of Munich, Germany.
- Barbero, Javier & Zofío, José Luis, 2012. "The multiregional core-periphery model: The role of the spatial topology," Working Papers in Economic Theory 2012/12, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
- 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.
- Ikeda, Kiyohiro & Onda, Mikihisa & Takayama, Yuki, 2018. "Spatial period doubling, invariant pattern, and break point in economic agglomeration in two dimensions," Journal of Economic Dynamics and Control, Elsevier, vol. 92(C), pages 129-152.
- Michael Pflüger & Jens Südekum, 2008. "A synthesis of footloose-entrepreneur new economic geography models: when is agglomeration smooth and easily reversible?," Journal of Economic Geography, Oxford University Press, vol. 8(1), pages 39-54, January.
- Nuria Gallego & José L. Zofío, 2018. "Trade Openness, Transport Networks and the Spatial Location of Economic Activity," Networks and Spatial Economics, Springer, vol. 18(1), pages 205-236, March.
Citations
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Cited by:
- Kogure, Yosuke & Ikeda, Kiyohiro, 2022. "Group-theoretic Study of Economic Agglomerations on a Square Lattice," MPRA Paper 112842, University Library of Munich, Germany.
- Takayama, Yuki & Ikeda, Kiyohiro & Thisse, Jacques-François, 2020.
"Stability and sustainability of urban systems under commuting and transportation costs,"
Regional Science and Urban Economics, Elsevier, vol. 84(C).
- TAKAYAMA Yuki, & IKEDA Kiyohiro, & THISSE Jacques-François,, 2020. "Stability and sustainability of urban systems under commuting and transportation costs," LIDAM Discussion Papers CORE 2020005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Thisse, Jacques-François & Takayama, Yuki & Ikeda, Kiyohiro, 2020. "Stability and sustainability of urban systems under commuting and transportation costs," CEPR Discussion Papers 14728, C.E.P.R. Discussion Papers.
- Osawa, Minoru & Akamatsu, Takashi, 2020. "Equilibrium refinement for a model of non-monocentric internal structures of cities: A potential game approach," Journal of Economic Theory, Elsevier, vol. 187(C).
- Kiyohiro Ikeda & Yuki Takayama & José M. Gaspar & Minoru Osawa, 2022. "Perturbed cusp catastrophe in a population game: Spatial economics with locational asymmetries," Journal of Regional Science, Wiley Blackwell, vol. 62(4), pages 961-980, September.
- Minoru Tabata & Nobuoki Eshima, 2023. "Approximation of a Continuous Core-periphery Model by Core-periphery Models with a Large Number of Small Regions," Networks and Spatial Economics, Springer, vol. 23(1), pages 223-283, March.
- Kensuke Ohtake & Atsushi Yagi, 2022. "Pointwise agglomeration in continuous racetrack model," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 21(2), pages 211-235, May.
- Takashi Akamatsu & Tomoya Mori & Minoru Osawa & Yuki Takayama, 2019. "Spatial scale of agglomeration and dispersion: Number, spacing, and the spatial extent of cities," Papers 1912.05113, arXiv.org, revised Aug 2024.
- Douglas Silveira & Izak Silva & Silvinha Vasconcelos & Fernando Perobelli, 2020. "The Brexit game: uncertainty and location decision," Papers in Regional Science, Wiley Blackwell, vol. 99(6), pages 1515-1538, December.
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More about this item
Keywords
Bifurcation; Economic agglomeration; Racetrack economy; Replicator dynamics; Spatial economy model;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)
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