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Endogenous restricted participation in general financial equilibrium

Author

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  • Carosi, Laura
  • Gori, Michele
  • Villanacci, Antonio
Abstract
We consider an incomplete market model with numeraire assets. Each household faces an individual constraint on its participation in the asset market. In related literature, the constraint is described by a function whose sole argument is the asset portfolio. On the contrary, in our analysis the constraint depends not only on the asset portfolio, but also on asset and good prices--hence the reference to endogenous (in contrast to exogenous) in the title. Economies are described by endowments of commodities, utility functions, asset yield matrices, and restriction functions. We study two specifications of the constraint function. The first one is homogeneous of degree zero with respect to spot prices. The second one does not exhibit that property. We then consistently distinguish between homogeneous and nonhomogeneous economies. After having established existence of equilibria for both types of economies, we study indeterminacy for each of them and show the following results. For an open and dense subset of the set of homogeneous economies, equilibria are finite and regular, up to innocuous price normalizations. There exists an open and nonempty set of nonhomogeneous economies, whose associated equilibria exhibit real indeterminacy.

Suggested Citation

  • Carosi, Laura & Gori, Michele & Villanacci, Antonio, 2009. "Endogenous restricted participation in general financial equilibrium," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 787-806, December.
    • Handle: RePEc:eee:mateco:v:45:y:2009:i:12:p:787-806
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    References listed on IDEAS

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    Cited by:

    1. Aouani, Zaier & Cornet, Bernard, 2011. "Reduced equivalent form of a financial structure," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 318-327.
    2. Bernard Cornet & Ramu Gopalan, 2010. "Arbitrage and equilibrium with portfolio constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 227-252, October.
    3. Ahmad Naimzada & Marina Pireddu, 2019. "A general equilibrium evolutionary model with generic utility functions and generic bell-shaped attractiveness maps, generating fashion cycle dynamics," Working Papers 401, University of Milano-Bicocca, Department of Economics, revised Mar 2019.
    4. Ngoc-Sang Pham, 2023. "Some Lectures on Macroeconomics," Working Papers hal-04366349, HAL.
    5. Gori, Michele & Pireddu, Marina & Villanacci, Antonio, 2013. "Regularity and Pareto improving on financial equilibria with price-dependent borrowing restrictions," Research in Economics, Elsevier, vol. 67(1), pages 100-110.
    6. Seghir, Abdelkrim & Torres-Martínez, Juan Pablo, 2011. "On equilibrium existence with endogenous restricted financial participation," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 37-42, January.
    7. Michele Gori & Marina Pireddu & Antonio Villanacci, 2014. "Existence of financial equilibria with endogenous short selling restrictions and real assets," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(2), pages 349-371, October.
    8. Sebastián Cea-Echenique & Juan Pablo Torres-Martínez, 2018. "General equilibrium with endogenous trading constraints," PLOS ONE, Public Library of Science, vol. 13(9), pages 1-10, September.
    9. Cea-Echenique, Sebastián & Torres-Martínez, Juan Pablo, 2016. "Credit segmentation in general equilibrium," Journal of Mathematical Economics, Elsevier, vol. 62(C), pages 19-27.
    10. Sebastián Cea-Echenique & Carlos Hervés-Beloso & Juan Pablo Torres-Martínez, 2012. "Endogenous Information: The Role of Sequential Trade and Financial Participation," Working Papers wp361, University of Chile, Department of Economics.
    11. Víctor Pérez Fernández & Juan Pablo Torres-Martínez, 2012. "Incomplete Financial Participation: Exclusive Markets, Investment Clubs, and Credit Risk," Working Papers wp363, University of Chile, Department of Economics.
    12. Michail Anthropelos & Constantinos Kardaras, 2018. "Price Impact Under Heterogeneous Beliefs and Restricted Participation," Papers 1802.09954, arXiv.org, revised Dec 2023.
    13. Ahmad Naimzada & Marina Pireddu, 2020. "A general equilibrium evolutionary model with two groups of agents, generating fashion cycle dynamics," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 155-185, June.
    14. Faias, Marta & Torres-Martínez, Juan Pablo, 2017. "Credit market segmentation, essentiality of commodities, and supermodularity," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 115-122.
    15. Anthropelos, Michail & Kardaras, Constantinos, 2024. "Price impact under heterogeneous beliefs and restricted participation," Journal of Economic Theory, Elsevier, vol. 215(C).
    16. Ngoc-Sang Pham, 2022. "Impacts of (individual and aggregate) productivity and credit shocks on equilibrium aggregate production," Working Papers halshs-03686284, HAL.
    17. Michele Gori & Marina Pireddu & Antonio Villanacci, 2010. "Regularity and Pareto Improving on financial equilibria with endogenous borrowing restrictions," Working Papers - Mathematical Economics 2010-08, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa, revised Aug 2012.
    18. P'ia Amigo & Sebasti'an Cea-Echenique & Felipe Feijoo, 2020. "An Emissions Trading System to reach NDC targets in the Chilean electric sector," Papers 2005.03843, arXiv.org.
    19. Matthew Hoelle & Marina Pireddu & Antonio Villanacci, 2016. "Incomplete financial markets with real assets and wealth-dependent credit limits," Journal of Economics, Springer, vol. 117(1), pages 1-36, January.

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