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The probability approach to general equilibrium with production

  • Michael Magill

    ()

  • Martine Quinzii

    ()

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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File URL: http://hdl.handle.net/10.1007/s00199-008-0336-x
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Article provided by Springer in its journal Economic Theory.

Volume (Year): 39 (2009)
Issue (Month): 1 (April)
Pages: 1-41

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Handle: RePEc:spr:joecth:v:39:y:2009:i:1:p:1-41
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  1. Edward C Prescott & Robert M Townsend, 1997. "General Competitive Analysis in an Economy with Private Information," Levine's Working Paper Archive 1578, David K. Levine.
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  5. 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.
  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. 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. Ross, Stephen A, 1976. "Options and Efficiency," The Quarterly Journal of Economics, MIT Press, vol. 90(1), pages 75-89, February.
  10. Marcos B. Lisboa, 2001. "Moral hazard and general equilibrium in large economies," Economic Theory, Springer, vol. 18(3), pages 555-575.
  11. 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.
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