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The Probability Approach to General Equilibrium with Production

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Author Info
Quinzii, Martine (U of California, Davis)
Magill, Michael (U of Southern California)

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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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Paper provided by University of California at Davis, Department of Economics in its series Working Papers with number 08-3.

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Date of creation: Nov 2007
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Handle: RePEc:ecl:ucdeco:08-3

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  1. Ehrlich, Isaac & Becker, Gary S, 1972. "Market Insurance, Self-Insurance, and Self-Protection," Journal of Political Economy, University of Chicago Press, vol. 80(4), pages 623-48, July-Aug.. [Downloadable!] (restricted)
  2. Ross, Stephen A, 1976. "Options and Efficiency," The Quarterly Journal of Economics, MIT Press, vol. 90(1), pages 75-89, February. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
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  4. 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. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  6. Marshall, John M, 1976. "Moral Hazard," American Economic Review, American Economic Association, vol. 66(5), pages 880-90, December. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  8. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-90, September. [Downloadable!] (restricted)
  9. 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. [Downloadable!] (restricted)
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