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The probability approach to general equilibrium with production

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  • Michael Magill
  • Martine Quinzii

Abstract

We develop an alternative approach to the general equilibrium analysis of a stochastic production economy when firms? choices of investment influence the probability distributions of their output. Using a normative approach we derive the criterion that a firm should maximize to obtain a Pareto optimal equilibrium: the criterion expresses the firm?s contribution to the expected social utility of output, and is not the linear criterion of market value. If firms do not know agents utility functions, and are restricted to using the information conveyed by prices then they can construct an approximate criterion which leads to a second-best choice of investment which, in examples, is found to be close to the first best.
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  • Michael Magill & Martine Quinzii, 2009. "The probability approach to general equilibrium with production," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(1), pages 1-41, April.
    • Handle: RePEc:spr:joecth:v:39:y:2009:i:1:p:1-41
    DOI: 10.1007/s00199-008-0336-x
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    1. William R. Zame, 2007. "Incentives, Contracts, and Markets: A General Equilibrium Theory of Firms," Econometrica, Econometric Society, vol. 75(5), pages 1453-1500, September.
    2. Prescott, Edward C & Townsend, Robert M, 1984. "General Competitive Analysis in an Economy with Private Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 1-20, February.
    3. Prescott, Edward C & Townsend, Robert M, 1984. "Pareto Optima and Competitive Equilibria with Adverse Selection and Moral Hazard," Econometrica, Econometric Society, vol. 52(1), pages 21-45, January.
    4. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614, Elsevier.
    5. Marcos B. Lisboa, 2001. "Moral hazard and general equilibrium in large economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(3), pages 555-575.
    6. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
    7. Stephen A. Ross, 1976. "Options and Efficiency," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(1), pages 75-89.
    8. 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.
    9. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-1190, September.
    10. Marshall, John M, 1976. "Moral Hazard," American Economic Review, American Economic Association, vol. 66(5), pages 880-890, December.
    11. Kocherlakota, Narayana R., 1998. "The effects of moral hazard on asset prices when financial markets are complete," Journal of Monetary Economics, Elsevier, vol. 41(1), pages 39-56, February.
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    7. Jean-Marc Robin & Stéphane Bonhomme & Koen Jochmans, 2014. "Estimating Multivariate Latent-Structure Models," Sciences Po publications 2014-18, Sciences Po.
    8. Carvalho, Jaimilton & Orrillo, Jaime & da Silva, Fernanda Rocha Gomes, 2020. "Probability of default in collateralized credit operations for small business," The North American Journal of Economics and Finance, Elsevier, vol. 52(C).

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    More about this item

    Keywords

    Optimal investment; Probability distribution of output; Equilibrium; D21; D51;
    All these keywords.

    JEL classification:

    • A1 - General Economics and Teaching - - General Economics
    • R3 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location

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