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Spatial Discounting, Fourier, and Racetrack Economy: A Recipe for the Analysis of Spatial Agglomeration Models

Citations

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Cited by:

  1. Kogure, Yosuke & Ikeda, Kiyohiro, 2022. "Group-theoretic Study of Economic Agglomerations on a Square Lattice," MPRA Paper 112842, University Library of Munich, Germany.
  2. Tomoya Mori, 2017. "Agglomeration," KIER Working Papers 960, Kyoto University, Institute of Economic Research.
  3. 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.
  4. 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).
  5. Mori, Tomoya & Smith, Tony E., 2015. "On the spatial scale of industrial agglomerations," Journal of Urban Economics, Elsevier, vol. 89(C), pages 1-20.
  6. 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.
  7. 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.
  8. Stef Proost & Jacques-François Thisse, 2019. "What Can Be Learned from Spatial Economics?," Journal of Economic Literature, American Economic Association, vol. 57(3), pages 575-643, September.
  9. 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).
  10. Marcus Berliant & Tomoya Mori, 2017. "Beyond urban form: How Masahisa Fujita shapes us," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(1), pages 5-28, March.
  11. Tomoya Mori & Tony E. Smith, 2011. "Analysis of Industrial Agglomeration Patterns: An Application to Manufacturing Industries in Japan," KIER Working Papers 794, Kyoto University, Institute of Economic Research.
  12. Minoru Osawa & Jos'e M. Gaspar, 2020. "Production externalities and dispersion process in a multi-region economy," Papers 2001.05095, arXiv.org, revised May 2021.
  13. Akamatsu, Takashi & Takayama, Yuki, 2009. "A Simplified Approach to Analyzing Multi-regional Core-Periphery Models," MPRA Paper 21739, University Library of Munich, Germany, revised 29 Oct 2009.
  14. 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.
  15. Carolina Guevara, 2015. "The effect of trade on agglomeration within regions," Working Papers halshs-01233389, HAL.
  16. Ikeda, Kiyohiro & Aizawa, Hiroki & Gaspar, Jose M., 2020. "How and where satellite cities form around a large city: Bifurcation mechanism of a long narrow economy," MPRA Paper 104748, University Library of Munich, Germany.
  17. W. Brock & A. Xepapadeas & A. Yannacopoulos, 2014. "Robust Control and Hot Spots in Spatiotemporal Economic Systems," Dynamic Games and Applications, Springer, vol. 4(3), pages 257-289, September.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. MORI Tomoya, 2018. "Spatial Pattern and City Size Distribution," Discussion papers 18053, Research Institute of Economy, Trade and Industry (RIETI).
  23. Sofia B. S. D. Castro & João Correia-da-Silva & José M. Gaspar, 2022. "Economic geography meets Hotelling: the home-sweet-home effect," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(1), pages 183-209, February.
  24. Akamatsu, Takashi & Mori, Tomoya & Osawa, Minoru & Takayama, Yuki, 2017. "Spatial scale of agglomeration and dispersion: Theoretical foundations and empirical implications," MPRA Paper 80689, University Library of Munich, Germany.
  25. Kiyohiro Ikeda & Mikihisa Onda & Yuki Takayama, 2019. "Bifurcation Theory of a Racetrack Economy in a Spatial Economy Model," Networks and Spatial Economics, Springer, vol. 19(1), pages 57-82, March.
  26. José M. Gaspar & Sofia B. S. D. Castro & João Correia-da-Silva, 2018. "Agglomeration patterns in a multi-regional economy without income effects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(4), pages 863-899, December.
  27. 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.
  28. 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.
  29. 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.
  30. Haichao Yu & Shangze Dai & Haiqian Ke, 2024. "Industrial collaborative agglomeration and green economic efficiency—Based on the intermediary effect of technical change," Growth and Change, Wiley Blackwell, vol. 55(2), June.
  31. Venkatachalam, Ragupathy & Kumar, Sunil Mitra, 2022. "Economic Structures and Dynamics: A Morphogenetic View," Structural Change and Economic Dynamics, Elsevier, vol. 61(C), pages 474-485.
  32. Ohtake, Kensuke, 2023. "Agglomeration and welfare of the Krugman model in a continuous space," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 137-142.
  33. Osawa, Minoru & Akamatsu, Takashi, 2019. "Emergence of Urban Landscapes: Equilibrium Selection in a Model of Internal Structure of the Cities," MPRA Paper 92395, University Library of Munich, Germany.
  34. Kogure, Yosuke & Ikeda, Kiyohiro, 2021. "Group-theoretic analysis of a scalar field on a square lattice," MPRA Paper 107740, University Library of Munich, Germany.
  35. Kensuke Ohtake, 2023. "A Continuous Space Model of New Economic Geography with a Quasi-Linear Log Utility Function," Networks and Spatial Economics, Springer, vol. 23(4), pages 905-930, December.
  36. Hiroki Aizawa & Kiyohiro Ikeda & Yosuke Kogure, 2023. "Satellite City Formation for a Spatial Economic Model," Networks and Spatial Economics, Springer, vol. 23(3), pages 529-558, September.
  37. Maniadakis, Dimitris & Varoutas, Dimitris, 2014. "Network congestion analysis of gravity generated models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 114-127.
  38. Minoru Osawa & Takashi Akamatsu & Yosuke Kogure, 2020. "Stochastic stability of agglomeration patterns in an urban retail model," Papers 2011.06778, arXiv.org.
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