[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/27837.html
   My bibliography  Save this paper

On the Equilibrium Properties of Network Models with Heterogeneous Agents

Author

Listed:
  • Treb Allen
  • Costas Arkolakis
  • Xiangliang Li
Abstract
We consider a broad class of spatial models where there are many types of interactions across a large number of locations. We provide a new theorem that offers an iterative algorithm for calculating an equilibrium and sufficient and “globally necessary” conditions under which the equilibrium is unique. We show how this theorem enables the characterization of equilibrium properties for two important spatial systems: an urban model with spillovers across a large number of different types of agents and a dynamic migration model with forward looking agents. An Online Appendix provides eleven additional examples of both spatial and non-spatial economic frameworks for which our theorem provides new equilibrium characterizations.

Suggested Citation

  • Treb Allen & Costas Arkolakis & Xiangliang Li, 2020. "On the Equilibrium Properties of Network Models with Heterogeneous Agents," NBER Working Papers 27837, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:27837
    Note: EFG ITI
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w27837.pdf
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bruno Conte & Klaus Desmet & Dávid Krisztián Nagy & Esteban Rossi-Hansberg, 2021. "Local sectoral specialization in a warming world," Journal of Economic Geography, Oxford University Press, vol. 21(4), pages 493-530.
    2. Xavier Giroud & Simone Lenzu & Quinn Maingi & Holger Mueller, 2021. "Propagation and Amplification of Local Productivity Spillovers," NBER Working Papers 29084, National Bureau of Economic Research, Inc.
    3. Benny Kleinman & Ernest Liu & Stephen J. Redding, 2023. "Dynamic Spatial General Equilibrium," Econometrica, Econometric Society, vol. 91(2), pages 385-424, March.
    4. Costas Arkolakis & Federico Huneeus & Yuhei Miyauchi, 2023. "Spatial Production Networks," Working Papers Central Bank of Chile 971, Central Bank of Chile.
    5. Luke Heath Milsom, 2023. "Moving OpportunityLocal Connectivity and Spatial Inequality," CEPREMAP Working Papers (Docweb) 2303, CEPREMAP.
    6. Ishan Nath, 2021. "Climate Change, The Food Problem, and the Challenge of Adaptation through Sectoral Reallocation," Working Papers 21-29, Center for Economic Studies, U.S. Census Bureau.
    7. Stephan Heblich & David Krisztian Nagy & Alex Trew & Yanos Zylberberg, 2023. "The Death and Life of Great British Cities," Working Papers 2023_09, Business School - Economics, University of Glasgow.
    8. Bahlali, Mohamed & Petit, Quentin, 2024. "An equilibrium model of city with atmospheric pollution dispersion," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    9. Piyush Panigrahi, 2021. "Endogenous Spatial Production Networks: Quantitative Implications for Trade and Productivity," CESifo Working Paper Series 9466, CESifo.
    10. Nagy, Dávid Krisztián, 2022. "Quantitative economic geography meets history: Questions, answers and challenges," Regional Science and Urban Economics, Elsevier, vol. 94(C).
    11. Jonathan I. Dingel & Felix Tintelnot, 2020. "Spatial Economics for Granular Settings," NBER Working Papers 27287, National Bureau of Economic Research, Inc.
    12. Kokovin, Sergey & Molchanov, Pavel & Bykadorov, Igor, 2022. "Increasing returns, monopolistic competition, and international trade: Revisiting gains from trade," Journal of International Economics, Elsevier, vol. 137(C).
    13. Krebs, Oliver & Pflüger, Michael, 2023. "On the road (again): Commuting and local employment elasticities in Germany," Regional Science and Urban Economics, Elsevier, vol. 99(C).
    14. David Krisztián Nagy, 2020. "Quantitative economic geography meets history: Questions, answers and challenges," Economics Working Papers 1774, Department of Economics and Business, Universitat Pompeu Fabra, revised Mar 2021.
    15. Parkhomenko, Andrii & Delventhal, Matthew J, 2023. "Spatial Implications of Telecommuting in the United States," Institute of Transportation Studies, Working Paper Series qt97q6c2rg, Institute of Transportation Studies, UC Davis.
    16. Allen, Treb & Donaldson, Dave, 2022. "Persistence and path dependence: A primer," Regional Science and Urban Economics, Elsevier, vol. 94(C).
    17. Dávid Krisztián Nagy, 2021. "Quantitative Economic Geography Meets History: Questions, Answers and Challenges," Working Papers 1249, Barcelona School of Economics.
    18. Nath, Ishan, 2022. "Climate Change, The Food Problem, and the Challenge of Adaptation through Sectoral Reallocation," Conference papers 333404, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
    19. Piyush Panigrahi, 2021. "Endogenous Spatial Production Networks: Quantitative Implications for Trade & Productivity," Cowles Foundation Discussion Papers 2314, Cowles Foundation for Research in Economics, Yale University.

    More about this item

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
    • F4 - International Economics - - Macroeconomic Aspects of International Trade and Finance
    • O18 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Urban, Rural, Regional, and Transportation Analysis; Housing; Infrastructure
    • R13 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - General Equilibrium and Welfare Economic Analysis of Regional Economies

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:nbr:nberwo:27837. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.html .

    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.