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Intertemporal equilibrium with heterogeneous agents, endogenous dividends and collateral constraints

Author

Listed:
  • Stefano Bosi

    (EPEE - Centre d'Etudes des Politiques Economiques - UEVE - Université d'Évry-Val-d'Essonne)

  • Cuong Le Van

    (IPAG Business School, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Ngoc-Sang Pham

    (Groupe Sup de Co Montpellier (GSCM) - Montpellier Business School)

Abstract

We build a dynamic general equilibrium model with heterogeneous producers and financial frictions (collateral constraints and incompleteness). First, we provide a characterization to check whether a sequence is an equilibrium or not. Second, we study the effects of financial imperfections on output and land prices. Third, we develop a theory of valuation of land by introducing the notion of endogenous land dividends (or yields) and different concepts of land-price bubbles. Some examples of bubbles are provided in economies with and without short-sales.

Suggested Citation

  • Stefano Bosi & Cuong Le Van & Ngoc-Sang Pham, 2018. "Intertemporal equilibrium with heterogeneous agents, endogenous dividends and collateral constraints," PSE-Ecole d'économie de Paris (Postprint) halshs-03260777, HAL.
  • Handle: RePEc:hal:pseptp:halshs-03260777
    DOI: 10.1016/j.jmateco.2018.01.006
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. Ngoc‐Sang Pham & Hien Pham, 2021. "Effects of credit limit on efficiency and welfare in a simple general equilibrium model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 17(4), pages 446-470, December.
    5. Ngoc-Sang Pham, 2023. "Some Lectures on Macroeconomics," Working Papers hal-04366349, HAL.
    6. Stefano Bosi & Thai Ha-Huy & Cao‐tung Pham & Ngoc‐sang Pham, 2021. "Ascendant altruism and asset price bubbles," Post-Print halshs-03409931, HAL.
    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. 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).
    9. 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.
    10. Ngoc-Sang Pham, 2025. "(Non-Monotonic) Effects of Productivity and Credit Constraints on Equilibrium Aggregate Production in General Equilibrium Models with Heterogeneous Producers," Papers 2501.12700, arXiv.org, revised Sep 2025.
    11. Le Van, Cuong & Pham, Ngoc-Sang, 2021. "Equilibrium with non-convex preferences: some examples," MPRA Paper 106774, University Library of Munich, Germany.
    12. Cuong Le Van & Ngoc-Sang Pham, 2025. "Equilibrium with non-convex preferences: some insights," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03177843, HAL.
    13. 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, revised Jan 2026.
    14. 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.
    15. Pham, Ngoc-Sang, 2017. "Assets with possibly negative dividends," MPRA Paper 78193, University Library of Munich, Germany.
    16. repec:hal:wpaper:halshs-03409931 is not listed on IDEAS
    17. repec:hal:wpaper:halshs-02993656 is not listed on IDEAS
    18. 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.
    19. Ngoc-Sang Pham, 2022. "Impacts of (individual and aggregate) productivity and credit shocks on equilibrium aggregate production," Working Papers halshs-03686284, HAL.
    20. Pham, Ngoc-Sang, 2018. "Credit limits and heterogeneity in general equilibrium models with a finite number of agents," MPRA Paper 88736, University Library of Munich, Germany.
    21. Stefano Bosi & Thai Ha-Huy & Ngoc-Sang Pham, 2019. "Rational bubbles in altruistic economies: when Tirole meets Ramsey," Economics Bulletin, AccessEcon, vol. 39(2), pages 816-829.

    More about this item

    Keywords

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    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • D9 - Microeconomics - - Micro-Based Behavioral Economics
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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