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A note on the Drèze’s criterion for large capitalist firms

Author

Listed:
  • Jean-Marc Bonnisseau

    (CERMSEM)

  • Oussama Lachiri

    (CERMSEM)

Abstract

The paper extends the Drèze's Criterion [Investment under private ownership: optimality, equilibrium and stability, in «Allocation under Uncertainty; Equilibrium and Optimality», Wiley, New York, 1974, p.129] for firms to non-smooth and non-convex technologies and to non-ordered preferences for the consumers. Technically, the proofs follow the lines of Guesnerie [Pareto Optimality in Non-convex Economies, in Econometrica, 43, p.1-31, (1975)]. Using recent tools of non-smooth analysis, we exhibit the first-order-necessary conditions for constrained Pareto optimal allocations. The Drèze's criterion for firms is recovered, but the profit maximization is replaced by a first-order- necessary condition for optimality, together with other relations between state prices and consumptions. A new stock-market equilibrium is formalized. We show that stock holders buy nothing but stocks of a firm that maximize his expected profit with respect to his own shadow price

Suggested Citation

  • Jean-Marc Bonnisseau & Oussama Lachiri, 2004. "A note on the Drèze’s criterion for large capitalist firms," Cahiers de la Maison des Sciences Economiques b04120, Université Panthéon-Sorbonne (Paris 1).
    • Handle: RePEc:mse:wpsorb:b04120
    as

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    File URL: ftp://mse.univ-paris1.fr/pub/mse/cahiers2004/B04120.pdf
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    References listed on IDEAS

    as
    1. Egbert Dierker & Hildegard Dierker & Birgit Grodal, 1999. "Incomplete Markets and the Firm," CIE Discussion Papers 1999-05, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
    2. Cornet, B., 1986. "The second welfare theorem in nonconvex economies," LIDAM Discussion Papers CORE 1986030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Geanakoplos, J. & Magill, M. & Quinzii, M. & Dreze, J., 1990. "Generic inefficiency of stock market equilibrium when markets are incomplete," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 113-151.
    4. Grossman, Sanford J & Hart, Oliver D, 1979. "A Theory of Competitive Equilibrium in Stock Market Economies," Econometrica, Econometric Society, vol. 47(2), pages 293-329, March.
    5. Roy Radner, 1974. "A Note on Unanimity of Stockholders' Preferences among Alternative Production Plans: A Reformulation of the Ekern-Wilson Model," Bell Journal of Economics, The RAND Corporation, vol. 5(1), pages 181-184, Spring.
    6. Guesnerie, Roger, 1975. "Pareto Optimality in Non-Convex Economies," Econometrica, Econometric Society, vol. 43(1), pages 1-29, January.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Stock market; non-smooth analysis; present value; market value;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D60 - Microeconomics - - Welfare Economics - - - General

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