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Discrete Dynamics in Nature and Society
Volume 2017, Article ID 9341502, 7 pages
https://doi.org/10.1155/2017/9341502
Research Article

Existence and Uniqueness of Solutions to the Wage Equation of Dixit-Stiglitz-Krugman Model with No Restriction on Transport Costs

1Department of Mathematical Sciences, Osaka Prefecture University, Sakai, Osaka 599-8531, Japan
2Center for Educational Outreach and Admissions, Kyoto University, Kyoto 606-8501, Japan

Correspondence should be addressed to Minoru Tabata; pj.en.nco.kcul@atabatrnm

Received 18 April 2017; Revised 6 June 2017; Accepted 7 June 2017; Published 11 July 2017

Academic Editor: Pavel Rehak

Copyright © 2017 Minoru Tabata and Nobuoki Eshima. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. Fujita and J.-F. Thisse, Economics of Agglomeration: Cities, Industrial Location, and Globalization, Cambridge University Press, 2013. View at Publisher · View at Google Scholar · View at Scopus
  2. M. Fujita, “The evolution of spatial economics: from Thöen to the new economic geography,” Japanese Economic Review, vol. 61, no. 1, pp. 1–32, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  3. P. Krugman, “The official homepage of the Nobel Prize in Economic Sciences,” 2008, http://www.nobelprize.org/nobel_prizes/economic-sciences/laureates/. View at Google Scholar
  4. G. I. P. Ottaviano and D. Puga, “Agglomeration in the global economy: a survey of the ‘new economic geography’,” World Economy, vol. 21, no. 6, pp. 707–731, 1998. View at Publisher · View at Google Scholar · View at Scopus
  5. M. Fujita, P. Krugman, and A. Venables, The Spatial Economy: Cities, Regions, and International Trade, MIT Press, 2001. View at Publisher · View at Google Scholar
  6. T. Akamatsu, Y. Takayama, and K. Ikeda, “Spatial discounting, Fourier, and racetrack economy: a recipe for the analysis of spatial agglomeration models,” Journal of Economic Dynamics & Control, vol. 36, no. 11, pp. 1729–1759, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  7. R. Forslid and G. I. P. Ottaviano, “An analytically solvable core-periphery model,” Journal of Economic Geography, vol. 3, no. 3, pp. 229–240, 2003. View at Publisher · View at Google Scholar · View at Scopus
  8. K. Ikeda and K. Murota, Bifurcation Theory for Hexagonal Agglomeration in Economic Geography, Springer, Tokyo, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  9. K. Ikeda, K. Murota, T. Akamatsu, and Y. Takayama, “Agglomeration patterns in a long narrow economy of a new economic geography model: analogy to a racetrack economy,” International Journal of Economic Theory, vol. 13, no. 1, pp. 113–145, 2017. View at Publisher · View at Google Scholar · View at MathSciNet
  10. P. Krugman, The Self-Organizing Economy, Blackwell Publishers, Cambridge, Mass, USA, 1996.
  11. M. Pflüger, “A simple, analytically solvable, Chamberlinian agglomeration model,” Regional Science and Urban Economics, vol. 34, no. 5, pp. 565–573, 2004. View at Publisher · View at Google Scholar · View at Scopus
  12. T. Ago, I. Isono, and T. Tabuchi, “Locational disadvantage of the hub,” Annals of Regional Science, vol. 40, no. 4, pp. 819–848, 2006. View at Publisher · View at Google Scholar · View at Scopus
  13. P. Krugman and R. L. Elizondo, “Trade policy and the third world metropolis,” Journal of Development Economics, vol. 49, no. 1, pp. 137–150, 1996. View at Publisher · View at Google Scholar · View at Scopus
  14. T. Mori and K. Nishikimi, “Economies of transport density and industrial agglomeration,” Regional Science and Urban Economics, vol. 32, no. 2, pp. 167–200, 2002. View at Publisher · View at Google Scholar · View at Scopus
  15. P. Mossay, “The core-periphery model: a note on the existence and uniqueness of short-run equilibrium,” Journal of Urban Economics, vol. 59, no. 3, pp. 389–393, 2006. View at Publisher · View at Google Scholar · View at Scopus
  16. N. G. Pavlidis, M. N. Vrahatis, and P. Mossay, “Existence and computation of short-run equilibria in economic geography,” Applied Mathematics and Computation, vol. 184, no. 1, pp. 93–103, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. M. Tabata, N. Eshima, Y. Kiyonari, and I. Takagi, “The existence and uniqueness of short-run equilibrium of the Dixit-Stiglitz-Krugman model in an urban-rural setting,” IMA Journal of Applied Mathematics, vol. 80, no. 2, pp. 474–493, 2015. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. I. Farmakis and M. Moskowitz, Fixed Point Theorems and Their Applications, World Scientific, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  19. M. Tabata, N. Eshima, and Y. Sakai, “Existence, uniqueness, and computation of short-run and long-run equilibria of the Dixit-Stiglitz-Krugman model in an urban setting,” Applied Mathematics and Computation, vol. 234, pp. 339–355, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus