IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2508.16002.html

Land and Infinite Debt Rollover

Author

Listed:
  • Tomohiro Hirano
  • Alexis Akira Toda

Abstract

Since McCallum (1987), it is well known that in an overlapping generations (OLG) economy with land, the equilibrium is Pareto efficient because with balanced growth, the interest rate exceeds the economic growth rate ($R>G$), which rules out infinite debt rollover (a Ponzi scheme). We show that once we remove knife-edge restrictions on the production function and allow unbalanced growth, under some conditions an efficient equilibrium with land bubbles necessarily emerges and infinite debt rollover becomes possible, which is a markedly different insight from the conventional view derived from the Diamond (1965) landless economy. We also examine the possibility of Pareto inefficient equilibria.

Suggested Citation

  • Tomohiro Hirano & Alexis Akira Toda, 2025. "Land and Infinite Debt Rollover," Papers 2508.16002, arXiv.org, revised Sep 2025.
  • Handle: RePEc:arx:papers:2508.16002
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2508.16002
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Stefano Di Bucchianico, 2023. "The negative natural rate of interest in the modern theories of Liquidity Trap and Secular Stagnation: back to Böhm-Bawerk via Samuelson," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 30(1), pages 40-61, January.
    2. Wolfram Richter, 1993. "Intergenerational risk sharing and social security in an economy with land," Journal of Economics, Springer, vol. 7(1), pages 91-103, December.
    3. Andrew B. Abel & N. Gregory Mankiw & Lawrence H. Summers & Richard J. Zeckhauser, 1989. "Assessing Dynamic Efficiency: Theory and Evidence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(1), pages 1-19.
    4. Poutvaara, Panu, 2004. "Gerontocracy revisited: unilateral transfer to the young may benefit the middle-aged," Journal of Public Economics, Elsevier, vol. 88(1-2), pages 161-174, January.
    5. Pingle, Mark & Tesfatsion, Leigh, 1998. "Active intermediation in a monetary overlapping generations economy1," Journal of Economic Dynamics and Control, Elsevier, vol. 22(10), pages 1543-1574, August.
    6. Andrew B. Abel & Stavros Panageas, 2025. "Running Primary Deficits Forever in a Dynamically Efficient Economy: Feasibility and Optimality," Econometrica, Econometric Society, vol. 93(5), pages 1601-1633, September.
    7. Ngoc-Sang Pham & Alexis Akira Toda, 2025. "Asset Prices with Overlapping Generations and Capital Accumulation: Tirole (1985) Revisited," Papers 2501.16560, arXiv.org.
    8. Mark Pingle & Leigh Tesfatsion, 1993. "``Active Intermediation in a Monetary Overlapping Generations Economy''," Macroeconomics 9312001, University Library of Munich, Germany, revised 04 Dec 1993.
    9. Benveniste, Lawrence M., 1976. "A complete characterization of efficiency for a general capital accumulation model," Journal of Economic Theory, Elsevier, vol. 12(2), pages 325-337, April.
    10. Masahiro Okuno & Itzhak Zilcha, 1980. "On the Efficiency of a Competitive Equilibrium in Infinite Horizon Monetary Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(4), pages 797-807.
    11. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    12. Dennis Epple & Brett Gordon & Holger Sieg, 2010. "A New Approach to Estimating the Production Function for Housing," American Economic Review, American Economic Association, vol. 100(3), pages 905-924, June.
    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. Pham, Ngoc Sang & Le Van, Cuong & Bosi, Stefano, 2025. "To Bubble or Not to Bubble: Asset Price Dynamics and Optimality in OLG Economies," MPRA Paper 125772, University Library of Munich, Germany.
    2. Stefano Bosi & Cuong Le Van & Ngoc-Sang Pham, 2025. "To Bubble or Not to Bubble: Asset Price Dynamics and Optimality in OLG Economies," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-05199274, HAL.

    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. Pham, Ngoc Sang & Le Van, Cuong & Bosi, Stefano, 2025. "To Bubble or Not to Bubble: Asset Price Dynamics and Optimality in OLG Economies," MPRA Paper 125605, University Library of Munich, Germany.
    2. Stefano Bosi & Cuong Le Van & Ngoc-Sang Pham, 2025. "To Bubble or Not to Bubble: Asset Price Dynamics and Optimality in OLG Economies," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-05199274, HAL.
    3. Barbie, Martin & Hagedorn, Marcus & Kaul, Ashok, 2000. "Dynamic Efficiency and Pareto Optimality in a Stochastic OLG Model with Production and Social Security," Bonn Econ Discussion Papers 8/2000, University of Bonn, Bonn Graduate School of Economics (BGSE).
    4. Julia, Knolle, 2014. "An Empirical Comparison of Interest and Growth Rates," MPRA Paper 59520, University Library of Munich, Germany.
    5. Chattopadhyay, Subir, 2008. "The Cass criterion, the net dividend criterion, and optimality," Journal of Economic Theory, Elsevier, vol. 139(1), pages 335-352, March.
    6. Barbie, Martin & Hagedorn, Marcus & Kaul, Ashok, 2001. "Government Debt as Insurance against Macroeconomic Risk," IZA Discussion Papers 412, Institute of Labor Economics (IZA).
    7. d'Albis, Hippolyte & Decreuse, Bruno, 2009. "Parental altruism, life expectancy and dynamically inefficient equilibria," Journal of Economic Dynamics and Control, Elsevier, vol. 33(11), pages 1897-1911, November.
    8. Chattopadhyay, Subir, 2006. "Optimality in stochastic OLG models: Theory for tests," Journal of Economic Theory, Elsevier, vol. 131(1), pages 282-294, November.
    9. Raurich, Xavier & Seegmuller, Thomas, 2019. "On the interplay between speculative bubbles and productive investment," European Economic Review, Elsevier, vol. 111(C), pages 400-420.
    10. Larch, Martin, 1993. "Dynamically Inefficient Equilibria in the Auerbach-Kotlikoff Model," Empirical Economics, Springer, vol. 18(1), pages 159-172.
    11. Elmendorf, Douglas W. & Gregory Mankiw, N., 1999. "Government debt," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 25, pages 1615-1669, Elsevier.
    12. Stefan Homburg, 2014. "Overaccumulation, Public Debt and the Importance of Land," German Economic Review, Verein für Socialpolitik, vol. 15(4), pages 411-435, November.
    13. Aoki, Kosuke & Nakajima, Tomoyuki & Nikolov, Kalin, 2014. "Safe asset shortages and asset price bubbles," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 164-174.
    14. Alberto Martin & Jaume Ventura, 2012. "Economic Growth with Bubbles," American Economic Review, American Economic Association, vol. 102(6), pages 3033-3058, October.
    15. Stefanou, Spiro E., 2009. "A Dynamic Characterization of Efficiency," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 10(01), pages 1-16.
    16. Nina Biljanovska & Alexandros Vardoulakis & Lucyna Gornicka, 2019. "Optimal Macroprudential Policy and Asset Price Bubbles," 2019 Meeting Papers 663, Society for Economic Dynamics.
    17. Jaume Ventura, 2002. "Bubbles and capital flows," Economics Working Papers 846, Department of Economics and Business, Universitat Pompeu Fabra, revised Mar 2010.
    18. Bloise, Gaetano, 2008. "Efficiency and prices in economies of overlapping generations," Journal of Economic Theory, Elsevier, vol. 141(1), pages 200-224, July.
    19. Marko Köthenbürger & Panu Poutvaara, 2006. "Social Security Reform and Investment in Education: Is There Scope for a Pareto Improvement?," Economica, London School of Economics and Political Science, vol. 73(290), pages 299-319, May.
    20. Brunnermeier, Markus K. & Oehmke, Martin, 2013. "Bubbles, Financial Crises, and Systemic Risk," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1221-1288, Elsevier.

    More about this item

    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:arx:papers:2508.16002. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.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.