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The Probability Approach To General Equilibrium With Production

Author

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  • Martine Quinzii
  • Michael Magill

    (Department of Economics, University of California Davis)

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.

Suggested Citation

  • Martine Quinzii & Michael Magill, 2007. "The Probability Approach To General Equilibrium With Production," Working Papers 80, University of California, Davis, Department of Economics.
  • Handle: RePEc:cda:wpaper:80
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    References listed on IDEAS

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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. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-1190, September.
    3. 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.
    4. Stephen A. Ross, 1976. "Options and Efficiency," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(1), pages 75-89.
    5. 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.
    6. Marshall, John M, 1976. "Moral Hazard," American Economic Review, American Economic Association, vol. 66(5), pages 880-890, December.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
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    Cited by:

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    4. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2012. "Stationary Markovian equilibrium in altruistic stochastic OLG models with limited commitment," Journal of Mathematical Economics, Elsevier, vol. 48(2), pages 115-132.
    5. Milo Bianchi & Rose-Anne Dana & Elyes Jouini, 2022. "Shareholder heterogeneity, asymmetric information, and the equilibrium manager," Post-Print hal-03693971, HAL.
    6. Jean-Marc Robin & Stéphane Bonhomme & Koen Jochmans, 2014. "Estimating Multivariate Latent-Structure Models," Sciences Po publications 2014-18, Sciences Po.
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    More about this item

    Keywords

    equilibrium; production;

    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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