IDEAS home Printed from https://ideas.repec.org/p/cpr/ceprdp/7764.html
   My bibliography  Save this paper

Hierarchical Trade

Author

Listed:
  • Gersbach, Hans
  • Haller, Hans

Abstract

We study the allocation of commodities through a two-stage hierarchy of competitive markets. Groups or countries trade at global prices while individuals within a group trade at local prices. We identify the free trade and the autarky equilibrium as polar cases. We show that no other two-stage market equilibria exist if the commodity space is two-dimensional. An example demonstrates that other, so-called intermediate equilibria exist for three dimensional commodity spaces. We give two existence proofs for intermediate equilibria in higher dimensions. Each proof provides an explicit construction of special classes of intermediate equilibria. Finally, we consider the consequences for welfare and trade flows when some countries control the agency that organizes trade at the global level.

Suggested Citation

  • Gersbach, Hans & Haller, Hans, 2010. "Hierarchical Trade," CEPR Discussion Papers 7764, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:7764
    as

    Download full text from publisher

    File URL: https://cepr.org/publications/DP7764
    Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org
    ---><---

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

    Other versions of this item:

    References listed on IDEAS

    as
    1. de Sousa, José & Mayer, Thierry & Zignago, Soledad, 2012. "Market access in global and regional trade," Regional Science and Urban Economics, Elsevier, vol. 42(6), pages 1037-1052.
    2. Andrew Atkeson & Ariel Burstein, 2008. "Pricing-to-Market, Trade Costs, and International Relative Prices," American Economic Review, American Economic Association, vol. 98(5), pages 1998-2031, December.
    3. James E. Anderson & Eric van Wincoop, 2004. "Trade Costs," Journal of Economic Literature, American Economic Association, vol. 42(3), pages 691-751, September.
    4. Geanakoplos, John & Mas-Colell, Andreu, 1989. "Real indeterminacy with financial assets," Journal of Economic Theory, Elsevier, vol. 47(1), pages 22-38, February.
    5. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-392, May.
    6. Engel, Charles & Rogers, John H, 1996. "How Wide Is the Border?," American Economic Review, American Economic Association, vol. 86(5), pages 1112-1125, December.
    7. Yongmin Chen & Keith Maskus, 2005. "Vertical Pricing and Parallel Imports," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 14(1), pages 1-18.
    8. Citanna, Alessandro & Cres, Herve & Dreze, Jacques & Herings, P. Jean-Jacques & Villanacci, Antonio, 2001. "Continua of underemployment equilibria reflecting coordination failures, also at Walrasian prices," Journal of Mathematical Economics, Elsevier, vol. 36(3), pages 169-200, December.
    9. Keith E. Maskus & Yongmin Chen, 2004. "Vertical Price Control and Parallel Imports: Theory and Evidence," Review of International Economics, Wiley Blackwell, vol. 12(4), pages 551-570, September.
    10. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    11. David Hummels, 2007. "Transportation Costs and International Trade in the Second Era of Globalization," Journal of Economic Perspectives, American Economic Association, vol. 21(3), pages 131-154, Summer.
    12. Bell, Clive, 2003. "Development Policy as Public Finance," OUP Catalogue, Oxford University Press, number 9780198773672.
    13. Ganslandt, Mattias & Maskus, Keith E., 2007. "Vertical distribution, parallel trade, and price divergence in integrated markets," European Economic Review, Elsevier, vol. 51(4), pages 943-970, May.
    14. Dreze, Jacques H, 1975. "Existence of an Exchange Equilibrium under Price Rigidities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(2), pages 301-320, June.
    15. Yun, Kwan Koo, 1995. "Structure of Distortion Equilibria and Welfare in a Multiregional Economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(3), pages 491-512, May.
    16. Maureen B. M. Lankhuizen & Thomas De Graaff & Henri L. F. de Groot, 2015. "Product Heterogeneity, Intangible Barriers and Distance Decay: The Effect of Multiple Dimensions of Distance on Trade across Different Product Categories," Spatial Economic Analysis, Taylor & Francis Journals, vol. 10(2), pages 137-159, June.
    17. Costas Arkolakis & Arnaud Costinot & Andres Rodriguez-Clare, 2012. "New Trade Models, Same Old Gains?," American Economic Review, American Economic Association, vol. 102(1), pages 94-130, February.
    18. Matthias Lutz, 2004. "Pricing in Segmented Markets, Arbitrage Barriers, and the Law of One Price: Evidence from the European Car Market," Review of International Economics, Wiley Blackwell, vol. 12(3), pages 456-475, August.
    19. Maskus, Keith E. & Stähler, Frank, 2014. "Retailers as agents and the limits of parallel trade," European Economic Review, Elsevier, vol. 70(C), pages 186-196.
    20. Herings, P. Jean-Jacques, 1998. "On the existence of a continuum of constrained equilibria1," Journal of Mathematical Economics, Elsevier, vol. 30(3), pages 257-273, October.
    21. Koutsougeras, Leonidas C., 2003. "Non-Walrasian equilibria and the law of one price," Journal of Economic Theory, Elsevier, vol. 108(1), pages 169-175, January.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Hans Gersbach & Hans Haller, 2007. "Hierarchical Trade and Endogenous Price Distortions," CER-ETH Economics working paper series 07/72, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.

    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. Kazuko Kano & Takashi Kano & Kazutaka Takechi, 2012. "Nonparametric Identification and Estimation of the Number of Components in Multivariate Mixtures," Global COE Hi-Stat Discussion Paper Series gd12-246, Institute of Economic Research, Hitotsubashi University.
    2. Kano, Kazuko & 加納, 和子 & Kano, Takashi & 加納, 隆 & Takechi, Kazutaka & 武智, 一貴, 2013. "The Price of Distance: Producer Heterogeneity, Pricing to Market, and Geographic Barriers," Discussion Papers 2013-03, Graduate School of Economics, Hitotsubashi University.
    3. KANO Kazuko & KANO Takashi & TAKECHI Kazutaka, 2015. "The Price of Distance: Pricing to market, producer heterogeneity, and geographic barriers," Discussion papers 15017, Research Institute of Economy, Trade and Industry (RIETI).
    4. Keith Head & Thierry Mayer, 2019. "Brands in Motion: How Frictions Shape Multinational Production," American Economic Review, American Economic Association, vol. 109(9), pages 3073-3124, September.
    5. Keith Head & Thierry Mayer, 2013. "What separates us? Sources of resistance to globalization," Canadian Journal of Economics, Canadian Economics Association, vol. 46(4), pages 1196-1231, November.
    6. Yulin Hou & Yun Wang & Hakan Yilmazkuday, 2023. "Gravity channels in trade," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 32(1), pages 37-65, January.
    7. Asturias, Jose, 2020. "Endogenous transportation costs," European Economic Review, Elsevier, vol. 123(C).
    8. Demet Yilmazkuday & Hakan Yilmazkuday, 2017. "The role of direct flights in trade costs," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 153(2), pages 249-270, May.
    9. Giri, Rahul, 2012. "Local costs of distribution, international trade costs and micro evidence on the law of one price," Journal of International Economics, Elsevier, vol. 86(1), pages 82-100.
    10. Agnosteva, Delina E. & Anderson, James E. & Yotov, Yoto V., 2019. "Intra-national trade costs: Assaying regional frictions," European Economic Review, Elsevier, vol. 112(C), pages 32-50.
    11. Kano, Kazuko & Kano, Takashi & Takechi, Kazutaka, 2013. "Exaggerated death of distance: Revisiting distance effects on regional price dispersions," Journal of International Economics, Elsevier, vol. 90(2), pages 403-413.
    12. Dvir, Eyal & Strasser, Georg, 2018. "Does marketing widen borders? Cross-country price dispersion in the European car market," Journal of International Economics, Elsevier, vol. 112(C), pages 134-149.
    13. Laura Birg, 2015. "Externalities of National Pharmaceutical Policy when Markets are Integrated through Parallel Trade," Review of International Economics, Wiley Blackwell, vol. 23(3), pages 558-574, August.
    14. Michel Fouquin & Jules Hugot, 2016. "Back to the Future: International Trade Costs and the Two Globalizations," Vniversitas Económica, Universidad Javeriana - Bogotá, vol. 0(0), pages 1-35, August.
    15. Jean Imbs & Isabelle Mejean, 2015. "Elasticity Optimism," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(3), pages 43-83, July.
    16. Costinot, Arnaud & Rodríguez-Clare, Andrés, 2014. "Trade Theory with Numbers: Quantifying the Consequences of Globalization," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 197-261, Elsevier.
    17. Drèze, Jacques H. & Herings, P. Jean-Jacques, 2008. "Sequentially complete markets remain incomplete," Economics Letters, Elsevier, vol. 100(3), pages 445-447, September.
    18. Takumi Naito, 2016. "Aid for Trade and Global Growth," Review of International Economics, Wiley Blackwell, vol. 24(5), pages 1178-1201, November.
    19. Simonovska, Ina & Waugh, Michael E., 2014. "The elasticity of trade: Estimates and evidence," Journal of International Economics, Elsevier, vol. 92(1), pages 34-50.
    20. Kristian Behrens & Giordano Mion & Yasusada Murata & Jens Südekum, 2014. "Trade, Wages, And Productivity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(4), pages 1305-1348, November.

    More about this item

    Keywords

    Control of trading platforms; Hierarchical trade; Intermediate equilibria;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • F10 - International Economics - - Trade - - - General

    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:cpr:ceprdp:7764. 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: the person in charge (email available below). General contact details of provider: https://www.cepr.org .

    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.