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Constrained inefficiency in GEI: a geometric argument

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  • Mario Tirelli

Abstract

In this paper we use global analysis to study the welfare properties of general equilibrium economies with incomplete markets (GEI). Our main result is to show that constrained Pareto optimal equilibria are contained in a submanifold of the equilibrium set. This result is explicitly derived for economies with real assets and xed aggregate resources, of which real numeraire assets are a special case. As a by product of our analysis, we propose an original global parametrization of the equilibrium set that generalizes to incomplete markets the classical one, rst, proposed by Lange (1942).

Suggested Citation

  • Mario Tirelli, 2008. "Constrained inefficiency in GEI: a geometric argument," Departmental Working Papers of Economics - University 'Roma Tre' 0086, Department of Economics - University Roma Tre.
  • Handle: RePEc:rtr:wpaper:0086
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    References listed on IDEAS

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    Cited by:

    1. Tirelli, Mario & Turner, Sergio, 2010. "A social welfare function characterizing competitive equilibria of incomplete financial markets," Research in Economics, Elsevier, vol. 64(1), pages 58-65, March.
    2. Mendolicchio, C. & Pietra, T., 2019. "A re-examination of constrained Pareto inefficiency in economies with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 80(C), pages 39-55.
    3. Tirelli, Mario & Turner, Sergio, 2010. "A social welfare function characterizing competitive equilibria of incomplete financial markets," Research in Economics, Elsevier, vol. 64(1), pages 58-65, March.

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    More about this item

    Keywords

    General equilibrium; incomplete markets; optimality; global analysis;
    All these keywords.

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D62 - Microeconomics - - Welfare Economics - - - Externalities

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