Group-theoretic analysis of a scalar field on a square lattice
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- B. Curtis Eaton & Richard G. Lipsey, 1975.
"The Principle of Minimum Differentiation Reconsidered: Some New Developments in the Theory of Spatial Competition,"
The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(1), pages 27-49.
- B.Curtis Eaton & Richard G. Lipsey, 1972. "The Principle of Minimum Differentiation Reconsidered: Some New Developments in the Theory of Spatial Competition," Working Paper 87, Economics Department, Queen's University.
- Weidlich, Wolfgang & Munz, Martin, 1990. "Settlement Formation: Part 1: A Dynamic Theory," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 24(2), pages 83-106.
- 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).
- 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.
- 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).
- 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.
- 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).
- 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.
- Krugman, Paul, 1991.
"Increasing Returns and Economic Geography,"
Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
- Paul Krugman, 1990. "Increasing Returns and Economic Geography," NBER Working Papers 3275, National Bureau of Economic Research, Inc.
- 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.
- 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.
- Munz, M & Weidlich, W, 1990. "Settlement Formation: Part II: Numerical Simulation," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 24(3), pages 177-196.
- Minoru Osawa & Takashi Akamatsu & Yosuke Kogure, 2020. "Stochastic stability of agglomeration patterns in an urban retail model," Papers 2011.06778, arXiv.org.
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.- 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.
- Kogure, Yosuke & Ikeda, Kiyohiro, 2022. "Group-theoretic Study of Economic Agglomerations on a Square Lattice," MPRA Paper 112842, University Library of Munich, Germany.
- 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.
- 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.
- 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.
- Kiyohiro Ikeda & Hiroki Aizawa & José M. Gaspar, 2021. "How and where satellite cities form around a large city: Bifurcation mechanism of a long narrow economy," Working Papers de Economia (Economics Working Papers) 01, Católica Porto Business School, Universidade Católica Portuguesa.
- 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.
- 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.
- AKAMATSU Takashi & MORI Tomoya & TAKAYAMA Yuki, 2016. "Agglomerations in a Multi-region Economy: Polycentric versus monocentric patterns," Discussion papers 16009, Research Institute of Economy, Trade and Industry (RIETI).
- 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.
- 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.
- 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.
- José M. Gaspar, 2018. "A prospective review on New Economic Geography," FEP Working Papers 605, Universidade do Porto, Faculdade de Economia do Porto.
- Takashi Akamatsu & Tomoya Mori & Minoru Osawa & Yuki Takayama, 2017.
"Spatial Scale of Agglomeration and Dispersion: Theoretical Foundations and Empirical Implications,"
KIER Working Papers
974, Kyoto University, Institute of Economic Research.
- 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.
- AKAMATSU Takashi & MORI Tomoya & OSAWA Minoru & TAKAYAMA Yuki, 2017. "Spatial Scale of Agglomeration and Dispersion: Theoretical foundations and empirical implications," Discussion papers 17125, Research Institute of Economy, Trade and Industry (RIETI).
- 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.
- José M. Gaspar & Sofia B.S.D. Castro & João Correia-da-Silva, 2017. "Agglomeration patterns in a multi-regional economy without income effects," FEP Working Papers 591, 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).
- Aizawa, Hiroki & Saka, Takuhiro, 2024. "Disutility caused by remote work in urban system," MPRA Paper 122913, University Library of Munich, Germany.
- 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.
- 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.
- Ohtake, Kensuke, 2023. "Agglomeration and welfare of the Krugman model in a continuous space," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 137-142.
- Tomoya Mori, 2018.
"Spatial Pattern and City Size Distribution,"
KIER Working Papers
996, Kyoto University, Institute of Economic Research.
- Tomoya Mori, 2019. "Spatial pattern and city size distribution," Papers 1908.09706, arXiv.org.
- MORI Tomoya, 2018. "Spatial Pattern and City Size Distribution," Discussion papers 18053, Research Institute of Economy, Trade and Industry (RIETI).
- 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.
- 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.
- Berliant, Marcus & Mori, Tomoya, 2016. "Beyond urban form: How Masahisa Fujita shapes us," MPRA Paper 69100, University Library of Munich, Germany.
- Marcus Berliant & Tomoya Mori, 2016. "Beyond Urban Form: How Masahisa Fujita Shapes Us," KIER Working Papers 932, Kyoto University, Institute of Economic Research.
- Berliant, Marcus & Mori, Tomoya, 2016. "Beyond urban form: How Masahisa Fujita shapes us," MPRA Paper 70844, University Library of Munich, Germany.
- 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.
More about this item
Keywords
bifurcation; group-theoretic bifurcation theory; invariant pattern; new economic geography; replicator dynamics; self-organization; spatial economic model; square lattice;All these keywords.
JEL classification:
- R10 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - General
- R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
NEP fields
This paper has been announced in the following NEP Reports:- NEP-GEO-2021-05-24 (Economic Geography)
Statistics
Access and download statisticsCorrections
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:107740. 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.