Skip to main content
SpringerLink
Log in

Some Dynamical Models in Regional Economics: Economic Structure and Analytic Tools

  • Conference paper
  • First Online:
Qualitative Theory of Dynamical Systems, Tools and Applications for Economic Modelling

Part of the book series: Springer Proceedings in Complexity ((SPCOM))

  • 687 Accesses

Abstract

This chapter aquaints the reader with the use of dynamic models in regional economics. The focus is on the New Economic Geography (NEG) approach. A brief comparison is provided between NEG and other economic approaches to investigate regional inequalities. The analytic structure of a general multi-regional model is described, and some simple examples are presented, where the number of regions is assumed to be small to obtain more easily analytic and numerical results. Tools from the mathematical theory of dynamical systems are drawn to study the qualitative properties of such multi-regional model.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    The Nomenclature of Territorial Units for Statistics.

  2. 2.

    We do not explicit the solutions of the models presented here. For these solutions, the interested reader can refer to the corresponding papers.

  3. 3.

    Given the unitary wage rate, the number of immobile regional workers coincides with that part of local expenditure that does not change through time.

  4. 4.

    In short, a border-transcritical bifurcation of a fixed point of a piecewise smooth continuous map occurs when at the moment of the bifurcation this fixed point belongs to a border at which the system function is not differentiable, its one-side multiplier is equal to 1 and it merges with another fixed point. After the bifurcation, one fixed point disappears, while another one changes its stability.

References

  1. Abreu, M.: Neoclassical growth models. In: Fischer, M., Nijkamp, P. (eds.) Handbook of Regional Science. Springer, Amsterdam (2013)

    Google Scholar 

  2. Agliari, A., Commedatore, P., Foroni, I., Kubin, I.: Border collision bifurcations in a footloose capital model with first nature firms. Comput. Econ. 38, 349–366 (2011)

    Article  MATH  Google Scholar 

  3. Agliari, A., Commedatore, P., Foroni, I., Kubin, I.: Expectations and industry location: a discrete time dynamical analysis. Decis. Econ. Finan. 37, 3–26 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  4. Agliari, A., Commedatore, P., Foroni, I., Kubin, I.: Agglomeration dynamics and first nature asymmetries. Math. Comput. Simul. 108, 81–98 (2015)

    Article  MathSciNet  Google Scholar 

  5. Baldwin, R.E., Forslid, R., Martin, P., Ottaviano, G., Robert-Nicoud, F.: Economic Geography and Public Policy. Princeton University Press, Princeton (2003)

    Google Scholar 

  6. Caselli, F.: Accounting for cross-country income differences. In: Aghion, P., Durlauf, S. (eds.) Handbook of Economic Growth. Elsevier, Amsterdam (2005)

    Google Scholar 

  7. Commedatore, P., Currie, M., Kubin, I.: Footloose entrepreneurs, taxes and subsidies. Spat. Econ. Anal. 3, 115–141 (2008)

    Article  Google Scholar 

  8. Commedatore, P., Currie, M., Kubin, I.: Chaotic footloose capital, nonlinear dynamics. Psychol. Life Sci. 11, 267–289 (2007)

    Google Scholar 

  9. Commedatore, P., Kubin, I., Petraglia, C.: Productive public expenditure in a new economic geography model. Economie Internationale 114, 133–160 (2008)

    Google Scholar 

  10. Commedatore, P., Kubin, I., Petraglia, C.: Footloose capital and productive public services. In: Salvadori, N., Commendatore, P., Tamberi, M. (eds.) Geography, Structural Change and Economic Development: Theory and Empirics. Edward Elgar, Cheltenham (2009)

    Google Scholar 

  11. Commedatore, P., Kubin, I., Petraglia, C.: R&d public expenditure, knowledge spillovers and agglomeration: comparative statics and dynamics. In: Bischi, G.I., Chiarella, C., Gardini, L. (eds.) Nonlinear Dynamics in Economics, Finance and the Social Sciences. Springer, Berlin (2010)

    Google Scholar 

  12. Commendatore, P., Filosofo, V., Grafenender-Weissteiner, T., Kubin, I.: Towards a multiregional neg framework: comparing alternative modelling strategies. In: Commendatore, P., Kayam, S., Kubin, I. (eds.) Complexity and Geographical Economics: Topics and Tools. Springer, Cham (2015)

    Chapter  Google Scholar 

  13. Commendatore, P., Kubin, I.: Source versus residence: a comparison from a new economic geography perspective. Forthcoming in Papers in Regional Science

    Google Scholar 

  14. Commendatore, P., Kubin, I.: Taxation, public expenditures and agglomeration. Economica Politica 3, 357–386 (2013)

    Google Scholar 

  15. Commendatore, P., Kubin, I., Mossay, P., Sushko, I.: The role of centrality and market size in a 4-region asymmetric new economic geography model. Submitted to J. Evol. Econ

    Google Scholar 

  16. Commendatore, P., Kubin, I., Mossay, P., Sushko, I.: Dynamic agglomeration patterns in a two-country new economic geography model with four regions. Chaos Solitons Fractals 79, 2–17 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  17. Commendatore, P., Kubin, I., Petraglia, C., Sushko, I.: Economic integration and agglomeration in a customs union in the presence of an outside region. Working Paper 146, Vienna University of Economics and Business Administration, Department of Economics (2012)

    Google Scholar 

  18. Commendatore, P., Kubin, I., Petraglia, C., Sushko, I.: Regional integration, international liberalisation and the dynamics of industrial agglomeration. J. Econ. Dyn. Control 48, 265–287 (2014)

    Article  MathSciNet  Google Scholar 

  19. Commendatore, P., Kubin, I., Sushko, I.: Typical bifurcation scenario in a three region identical new economic geography model. Math. Comput. Simul. 108, 63–80 (2015)

    Article  MathSciNet  Google Scholar 

  20. Currie, M., Kubin, I.: Chaos in the core periphery model. J. Econ. Behav. Organ. 60, 252–275 (2006)

    Article  Google Scholar 

  21. Feenstra, R.F.: Advanced International Trade. Princeton University Press, Princeton (2004)

    Google Scholar 

  22. Forslid, R., Ottaviano, G.I.P.: An analytically solvable core periphery model. J. Econ. Geogr. 3, 229–240 (2003)

    Article  Google Scholar 

  23. Krugman, P.: Increasing returns and economic geography. J. Polit. Econ. 99, 483–499 (1991)

    Article  Google Scholar 

  24. Kuznetsov, Y.: Elements of Applied Bifurcation Theory. Springer, New York (1995)

    Book  MATH  Google Scholar 

  25. Le Gallo, J., Fingleton, B.: Regional growth and convergence empirics. In: Fischer, M., Nijkamp, P. (eds.) Handbook of Regional Science. Springer, Amsterdam (2014)

    Google Scholar 

  26. Martin, P., Rogers, C.A.: Industrial location and public infrastructure. J. Int. Econ. 39, 335–351 (1995)

    Article  Google Scholar 

  27. Milnor, J.: On the concept of attractor. Commun. Math. Phys. 99, 177–195 (1985)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  28. Mira, C., Gardini, L., Barugola, A., Cathala, J.C.: Chaotic Dynamics in Two-Dimensional Noninvertible Maps. World Scientific, Singapore (1996)

    MATH  Google Scholar 

  29. Wiggins, S.: Introduction to Applied Nonlinear Dynamical Systems and Chaos. Springer, New York (2003)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Economics, Institute for International Economics and Development (WU Vienna University of Economics and Business), 1 Welthandelsplatz, 1020, Vienna, Austria

    Ingrid Kubin

  2. Department of Law, University of Naples Federico II, 16 Via Mezzocannone, 80134, Naples, NA, Italy

    Pasquale Commendatore

  3. Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivska str. 3, Kiev, 01601, Ukraine

    Iryna Sushko

Authors
  1. Ingrid Kubin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Pasquale Commendatore
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Iryna Sushko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Iryna Sushko .

Editor information

Editors and Affiliations

  1. Università di Urbino "Carlo Bo", Urbino, Italy

    Gian Italo Bischi

  2. National Academy of Sciences of Ukraine, Kiew, Ukraine

    Anastasiia Panchuk

  3. LIUC - Università Cattaneo, Castellanza, Italy

    Davide Radi

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Kubin, I., Commendatore, P., Sushko, I. (2016). Some Dynamical Models in Regional Economics: Economic Structure and Analytic Tools. In: Bischi, G., Panchuk, A., Radi, D. (eds) Qualitative Theory of Dynamical Systems, Tools and Applications for Economic Modelling. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-319-33276-5_4

Download citation

Publish with us

Policies and ethics

Search

Navigation