IDEAS home Printed from https://ideas.repec.org/a/kap/netspa/v24y2024i4d10.1007_s11067-024-09636-0.html
   My bibliography  Save this article

A Ramsey-Type Equilibrium Model with Spatially Dispersed Agents

Author

Listed:
  • Leonhard Frerick

    (Trier University)

  • Georg Müller-Fürstenberger

    (Trier University)

  • Martin Schmidt

    (Trier University)

  • Max Späth

    (Trier University)

Abstract

We present a spatial and time-continuous Ramsey-type equilibrium model for households and firms that interact on a spatial domain to model labor mobility in the presence of commuting costs. After discretization in space and time, we obtain a mixed complementarity problem that represents the spatial equilibrium model. We prove existence of equilibria using the theory of finite-dimensional variational inequalities and derive a tailored diagonalization method to solve the resulting large-scale instances. Finally, we present a case study that highlights the influence of commuting costs and show that the model allows to analyze transitory effects of industrial agglomeration that emerge and vanish over time as in the real economy.

Suggested Citation

  • Leonhard Frerick & Georg Müller-Fürstenberger & Martin Schmidt & Max Späth, 2024. "A Ramsey-Type Equilibrium Model with Spatially Dispersed Agents," Networks and Spatial Economics, Springer, vol. 24(4), pages 869-896, December.
    • Handle: RePEc:kap:netspa:v:24:y:2024:i:4:d:10.1007_s11067-024-09636-0
    DOI: 10.1007/s11067-024-09636-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11067-024-09636-0
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11067-024-09636-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Francisco Facchinei & Veronica Piccialli & Marco Sciandrone, 2011. "Decomposition algorithms for generalized potential games," Computational Optimization and Applications, Springer, vol. 50(2), pages 237-262, October.
    2. Aruoba, S. Boragan & Fernandez-Villaverde, Jesus & Rubio-Ramirez, Juan F., 2006. "Comparing solution methods for dynamic equilibrium economies," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2477-2508, December.
    3. William Nordhaus, 2018. "Projections and Uncertainties about Climate Change in an Era of Minimal Climate Policies," American Economic Journal: Economic Policy, American Economic Association, vol. 10(3), pages 333-360, August.
    4. 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.
    5. Boragan Aruoba & Jesus Fernandez-Villaverde, 2003. "Comparing Linear and Nonlinear Solution Methods for Dynamic Equilibrium Economies," Computing in Economics and Finance 2003 133, Society for Computational Economics.
    Full references (including those not matched with items on IDEAS)

    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.
    1. Leonhard Frerick & Georg Müller-Fürstenberger & Martin Schmidt & Max Späth, 2022. "Complementarity Modeling of a Ramsey-Type Equilibrium Problem with Heterogeneous Agents," Computational Economics, Springer;Society for Computational Economics, vol. 60(3), pages 1135-1154, October.
    2. Feigenbaum, James, 2005. "Second-, third-, and higher-order consumption functions: a precautionary tale," Journal of Economic Dynamics and Control, Elsevier, vol. 29(8), pages 1385-1425, August.
    3. Atolia, Manoj & Chatterjee, Santanu & Turnovsky, Stephen J., 2010. "How misleading is linearization? Evaluating the dynamics of the neoclassical growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 34(9), pages 1550-1571, September.
    4. Dongya Koh & Raül Santaeulà lia-Llopis, 2017. "Countercyclical Elasticity of Substitution," Working Papers 946, Barcelona School of Economics.
    5. Daisuke Murakami & Pavel V. Shevchenko & Tomoko Matsui & Aleksandar Arandjelovi'c & Tor A. Myrvoll, 2025. "Climate-economy projections under shared socioeconomic pathways and net-zero scenarios," Papers 2504.11721, arXiv.org.
    6. Idriss Fontaine, 2021. "Uncertainty and Labour Force Participation," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 83(2), pages 437-471, April.
    7. Barthélemy, Jean & Marx, Magali, 2017. "Solving endogenous regime switching models," Journal of Economic Dynamics and Control, Elsevier, vol. 77(C), pages 1-25.
    8. Aldrich, Eric M. & Fernández-Villaverde, Jesús & Ronald Gallant, A. & Rubio-Ramírez, Juan F., 2011. "Tapping the supercomputer under your desk: Solving dynamic equilibrium models with graphics processors," Journal of Economic Dynamics and Control, Elsevier, vol. 35(3), pages 386-393, March.
    9. Gagliarducci, Stefano & Paserman, M. Daniele & Patacchini, Eleonora, 2019. "Hurricanes, Climate Change Policies and Electoral Accountability," IZA Discussion Papers 12334, Institute of Labor Economics (IZA).
    10. Caragliu, Andrea & Graziano, Marcello, 2022. "The spatial dimension of energy transition policies, practices and technologies," Energy Policy, Elsevier, vol. 168(C).
    11. Xu, Qi & Liu, Kui, 2024. "Hero or Devil: A comparison of different carbon tax policies for China," Energy, Elsevier, vol. 306(C).
    12. Heer Burkhard & Maußner Alfred, 2011. "Value Function Iteration as a Solution Method for the Ramsey Model," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 231(4), pages 494-515, August.
    13. Carlo A. Favero, 2007. "Model Evaluation in Macroeconometrics: from early empirical macroeconomic models to DSGE models," Working Papers 327, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    14. Eric Jondeau & Gregory Levieuge & Jean-Guillaume Sahuc & Gauthier Vermandel, 2022. "Environmental Subsidies to Mitigate Transition Risk," Swiss Finance Institute Research Paper Series 22-45, Swiss Finance Institute.
    15. Li, Shuoshuo & Liu, Yaobin & Wei, Guoen & Bi, Mo & He, Bao-Jie, 2024. "Carbon surplus or carbon deficit under land use transformation in China?," Land Use Policy, Elsevier, vol. 143(C).
    16. Rogna, Marco & Vogt, Carla J., 2021. "Accounting for inequality aversion can justify the 2° C goal," Ruhr Economic Papers 925, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    17. Ravenna, Federico & Seppälä, Juha, 2007. "Monetary policy, expected inflation and inflation risk premia," Bank of Finland Research Discussion Papers 18/2007, Bank of Finland.
    18. Raffaella Giacomini, 2013. "The relationship between DSGE and VAR models," CeMMAP working papers CWP21/13, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    19. Jesus Fernandez-Villaverde & Pablo Guerron-Quintana & Juan F. Rubio-Ramirez & Martin Uribe, 2011. "Risk Matters: The Real Effects of Volatility Shocks," American Economic Review, American Economic Association, vol. 101(6), pages 2530-2561, October.
    20. Andrew Foerster & Juan F. Rubio‐Ramírez & Daniel F. Waggoner & Tao Zha, 2016. "Perturbation methods for Markov‐switching dynamic stochastic general equilibrium models," Quantitative Economics, Econometric Society, vol. 7(2), pages 637-669, July.

    Corrections

    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:kap:netspa:v:24:y:2024:i:4:d:10.1007_s11067-024-09636-0. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.