IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2411.07674.html
   My bibliography  Save this paper

The relationship between general equilibrium models with infinite-lived agents and overlapping generations models, and some applications

Author

Listed:
  • Ngoc-Sang Pham

Abstract

We prove that a two-cycle equilibrium in a general equilibrium model with infinitely-lived agents also constitutes an equilibrium in an overlapping generations (OLG) model. Conversely, an equilibrium in an OLG model that satisfies additional conditions is part of an equilibrium in a general equilibrium model with infinitely-lived agents. Applying this result, we demonstrate that equilibrium indeterminacy and rational asset price bubbles may arise in both types of models.

Suggested Citation

  • Ngoc-Sang Pham, 2024. "The relationship between general equilibrium models with infinite-lived agents and overlapping generations models, and some applications," Papers 2411.07674, arXiv.org.
  • Handle: RePEc:arx:papers:2411.07674
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2411.07674
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bosi, Stefano & Le Van, Cuong & Pham, Ngoc-Sang, 2017. "Asset bubbles and efficiency in a generalized two-sector model," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 37-48.
    2. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-1181, September.
    3. Stefano Bosi & Cuong Le Van & Ngoc-Sang Pham, 2017. "Rational Land and Housing Bubbles in Infinite-Horizon Economies," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 203-230, Springer.
    4. Cuong Le Van & Ngoc-Sang Pham, 2016. "Intertemporal equilibrium with financial asset and physical capital," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 155-199, June.
    5. Alberto Martin & Jaume Ventura, 2018. "The Macroeconomics of Rational Bubbles: A User's Guide," Annual Review of Economics, Annual Reviews, vol. 10(1), pages 505-539, August.
    6. Bosi, Stefano & Van, Cuong Le & Pham, Ngoc-Sang, 2018. "Intertemporal equilibrium with heterogeneous agents, endogenous dividends and collateral constraints," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 1-20.
    7. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
    8. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
    9. Bosi, Stefano & Ha-Huy, Thai & Le Van, Cuong & Pham, Cao-Tung & Pham, Ngoc-Sang, 2018. "Financial bubbles and capital accumulation in altruistic economies," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 125-139.
    10. Aiyagari, S. Rao, 1992. "Co-existence of a representative agent type equilibrium with a non-representative agent type equilibrium," Journal of Economic Theory, Elsevier, vol. 57(1), pages 230-236.
    11. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    12. repec:hal:pseose:hal-01302382 is not listed on IDEAS
    13. Weil, Philippe, 1990. "On the Possibility of Price Decreasing Bubbles," Econometrica, Econometric Society, vol. 58(6), pages 1467-1474, November.
    14. repec:hal:cesptp:hal-03594185 is not listed on IDEAS
    15. Kocherlakota, Narayana R., 1992. "Bubbles and constraints on debt accumulation," Journal of Economic Theory, Elsevier, vol. 57(1), pages 245-256.
    16. 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.
    17. repec:pri:metric:wp047_2012_brunnermeier_ssrn-id2103814.pdf is not listed on IDEAS
    18. Philippe Weil, 1987. "Confidence and the Real Value of Money in an Overlapping Generations Economy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(1), pages 1-22.
    19. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    20. Michel, Philippe & Thibault, Emmanuel & Vidal, Jean-Pierre, 2006. "Intergenerational altruism and neoclassical growth models," Handbook on the Economics of Giving, Reciprocity and Altruism, in: S. Kolm & Jean Mercier Ythier (ed.), Handbook of the Economics of Giving, Altruism and Reciprocity, edition 1, volume 1, chapter 15, pages 1055-1106, Elsevier.
    21. Woodford, Michael, 1986. "Stationary sunspot equilibria in a finance constrained economy," Journal of Economic Theory, Elsevier, vol. 40(1), pages 128-137, October.
    22. Lovo, Stefano & Polemarchakis, Herakles, 2010. "Myopia and monetary equilibria," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 925-936, September.
    23. Bosi, Stefano & Le Van, Cuong & Pham, Ngoc-Sang, 2022. "Real indeterminacy and dynamics of asset price bubbles in general equilibrium," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    24. Rose-Anne Dana & Cuong Le Van & Tapan Mitra & Kazuo Nishimura (ed.), 2006. "Handbook on Optimal Growth 1," Springer Books, Springer, number 978-3-540-32310-5, April.
    25. Tomohiro Hirano & Alexis Akira Toda, 2024. "Note on Bubbles Attached to Real Assets," Papers 2410.17425, arXiv.org.
    26. repec:hal:spmain:info:hdl:2441/8701 is not listed on IDEAS
    27. Roger E A Farmer, 2019. "The Indeterminacy Agenda in Macroeconomics," National Institute of Economic and Social Research (NIESR) Discussion Papers 507, National Institute of Economic and Social Research.
    28. Luigi Montrucchio, 2004. "Cass transversality condition and sequential asset bubbles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 645-663, October.
    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. Pham, Ngoc-Sang, 2024. "The relationship between general equilibrium models with infinite-lived agents and overlapping generations models, and some applications," MPRA Paper 122659, University Library of Munich, Germany.
    2. Stefano Bosi & Thai Ha‐Huy & Cao‐Tung Pham & Ngoc‐Sang Pham, 2022. "Ascendant altruism and asset price bubbles," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(4), pages 532-551, December.
    3. Bosi, Stefano & Le Van, Cuong & Pham, Ngoc-Sang, 2022. "Real indeterminacy and dynamics of asset price bubbles in general equilibrium," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    4. repec:hal:wpaper:halshs-02993656 is not listed on IDEAS
    5. Bosi, Stefano & Van, Cuong Le & Pham, Ngoc-Sang, 2018. "Intertemporal equilibrium with heterogeneous agents, endogenous dividends and collateral constraints," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 1-20.
    6. Bosi, Stefano & Ha-Huy, Thai & Le Van, Cuong & Pham, Cao-Tung & Pham, Ngoc-Sang, 2018. "Financial bubbles and capital accumulation in altruistic economies," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 125-139.
    7. Stefano Bosi & Cuong Le Van & Ngoc-Sang Pham, 2017. "Rational Land and Housing Bubbles in Infinite-Horizon Economies," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 203-230, Springer.
    8. Pham, Ngoc-Sang, 2023. "Intertemporal equilibrium with physical capital and financial asset: Role of dividend taxation," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 95-104.
    9. Bosi, Stefano & Le Van, Cuong & Pham, Ngoc-Sang, 2017. "Asset bubbles and efficiency in a generalized two-sector model," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 37-48.
    10. Pham, Ngoc-Sang, 2017. "Assets with possibly negative dividends," MPRA Paper 78193, University Library of Munich, Germany.
    11. Stefano Bosi & Cuong Le Van & Ngoc-Sang Pham, 2015. "Intertemporal equilibrium with heterogeneous agents, endogenous dividends, and borrowing constraints," Documents de recherche 15-05, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    12. Pham, Ngoc-Sang, 2017. "Dividend taxation in an infinite-horizon general equilibrium model," MPRA Paper 80580, University Library of Munich, Germany.
    13. Hirano, Tomohiro & Toda, Alexis Akira, 2024. "Bubble economics," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    14. Bo Zhao, 2015. "Rational housing bubble," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 141-201, September.
    15. Vuillemey, Guillaume & Wasmer, Etienne, 2020. "Frictional unemployment with stochastic bubbles," European Economic Review, Elsevier, vol. 122(C).
    16. Zhou, Ge, 2011. "Rational bubbles and the spirit of capitalism," MPRA Paper 33988, University Library of Munich, Germany.
    17. Pablo A. Guerron-Quintana & Tomohiro Hirano & Ryo Jinnai, 2021. "Bubbles, Crashes, Ups and Downs in Economic Growth Theory and Evidence," CIGS Working Paper Series 21-006E, The Canon Institute for Global Studies.
    18. Hirano, Tomohiro & Inaba, Masaru & Yanagawa, Noriyuki, 2015. "Asset bubbles and bailouts," Journal of Monetary Economics, Elsevier, vol. 76(S), pages 71-89.
    19. Robert Becker & Stefano Bosi & Cuong Van & Thomas Seegmuller, 2015. "On existence and bubbles of Ramsey equilibrium with borrowing constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 329-353, February.
    20. Tomohiro Hirano & Ryo Jinnai & Alexis Akira Toda, 2022. "Leverage, Endogenous Unbalanced Growth, and Asset Price Bubbles," Papers 2211.13100, arXiv.org, revised Feb 2024.
    21. Boucekkine, Raouf & Nishimura, Kazuo & Venditti, Alain, 2015. "Introduction to financial frictions and debt constraints," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 271-275.

    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:2411.07674. 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.