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A multiperiod Drèze rule

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  • Egbert Dierker

    (Institute for Advanced Studies
    Vienna Graduate School of Economics)

Abstract

The purpose of this paper is to extend the concept of a Drèze equilibrium to multi-period production economies with incomplete markets. Constrained efficiency cannot serve as a basis for such an extension, because multi-period models tend to violate even weak constrained efficiency requirements. Examples illustrate how the difficulties that arise in the case of sequential trade can be taken into account. Finally, the concept of minimal efficiency, which has been introduced by Dierker et al. (2005) in a two-period model, provides a way to derive an extension of the Drèze rule to finite trees. This is possible because minimal efficiency relies on a planner who can choose the production plan, but who cannot interfere with future consumption otherwise.

Suggested Citation

  • Egbert Dierker, 2015. "A multiperiod Drèze rule," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 129-151, October.
  • Handle: RePEc:spr:etbull:v:3:y:2015:i:2:d:10.1007_s40505-015-0073-9
    DOI: 10.1007/s40505-015-0073-9
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    References listed on IDEAS

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    1. Bonnisseau, Jean-Marc & Lachiri, Oussama, 2004. "On the objective of firms under uncertainty with stock markets," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 493-513, August.
    2. 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.
    3. Dierker, Egbert & Dierker, Hildegard, 2010. "Welfare and efficiency in incomplete market economies with a single firm," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 652-665, September.
    4. Egbert Dierker & Hildegard Dierker & Birgit Grodal, 2002. "Nonexistence of Constrained Efficient Equilibria When Markets are Incomplete," Econometrica, Econometric Society, vol. 70(3), pages 1245-1251, May.
    5. Egbert Dierker & Hildegard Dierker & Birgit Grodal, 2006. "Are Incomplete Markets Able to Achieve Minimal Efficiency?," Studies in Economic Theory, in: Christian Schultz & Karl Vind (ed.), Institutions, Equilibria and Efficiency, chapter 7, pages 117-129, Springer.
    6. Jean-Marc Bonnisseau & Oussama Lachiri, 2006. "About the second theorem of welfare economics with stock markets," Post-Print halshs-00118822, HAL.
    7. Guesnerie, Roger, 1975. "Pareto Optimality in Non-Convex Economies," Econometrica, Econometric Society, vol. 43(1), pages 1-29, January.
    8. 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.
    9. 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.
    10. Egbert Dierker & Hildegard Dierker, 2012. "Ownership structure and control in incomplete market economies with transferable utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 713-728, November.
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    Cited by:

    1. Zierhut, Michael, 2019. "Nonexistence of constrained efficient production plans," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 127-136.

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    More about this item

    Keywords

    Incomplete markets with production; The objective of a firm; Drèze equilibria with sequential trade; Efficiency and social welfare;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

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