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Are Incomplete Markets Able to Achieve Minimal Efficiency?


  • Egbert Dierker

    (University of Vienna)

  • Hildegard Dierker

    (University of Vienna)

  • Birgit Grodal

    (Institute of Economics, University of Copenhagen)


We consider economies with incomplete markets, one good per state, two periods, t = 0; 1, private ownership of initial endowments, a single firm, and no assets other than shares in this firm. In Dierker, Dierker, Grodal (2002), we give an example of such an economy in which all market equilibria are constrained ineffcient. In this paper, we weaken the concept of constrained effciency by taking away the planner’s right to determine consumers’ investments. An allocation is called minimally constrained efficient if a planner, who can only determine the production plan and the distribution of consumption at t = 0, cannot find a Pareto improvement. We present an example with arbitrarily small income effects in which no market equilibrium is minimally constrained effcient.

Suggested Citation

  • Egbert Dierker & Hildegard Dierker & Birgit Grodal, 2002. "Are Incomplete Markets Able to Achieve Minimal Efficiency?," Discussion Papers 03-09, University of Copenhagen. Department of Economics.
  • Handle: RePEc:kud:kuiedp:0309

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    References listed on IDEAS

    1. Nicolas Gravel, 2001. "On the difficulty of combining actual and potential criteria for an increase in social welfare," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 17(1), pages 163-180.
    2. 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.
    3. Amrita Dhillon & Jean-Francois Mertens, 1999. "Relative Utilitarianism," Econometrica, Econometric Society, vol. 67(3), pages 471-498, May.
    4. Grossman, Sanford J., 1977. "A characterization of the optimality of equilibrium in incomplete markets," Journal of Economic Theory, Elsevier, vol. 15(1), pages 1-15, June.
    5. 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.
    6. Petra Geraats & Hans Haller, 1998. "Shareholders' choice," Journal of Economics, Springer, vol. 68(2), pages 111-135, June.
    7. Cole, Harold L. & Prescott, Edward C., 1997. "Valuation Equilibrium with Clubs," Journal of Economic Theory, Elsevier, vol. 74(1), pages 19-39, May.
    8. Guesnerie, Roger, 1975. "Pareto Optimality in Non-Convex Economies," Econometrica, Econometric Society, vol. 43(1), pages 1-29, January.
    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. Peter M. DeMarzo, 1993. "Majority Voting and Corporate Control: The Rule of the Dominant Shareholder," Review of Economic Studies, Oxford University Press, vol. 60(3), pages 713-734.
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    Cited by:

    1. Stefano Demichelis & Klaus Ritzberger, 2011. "A general equilibrium analysis of corporate control and the stock market," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(2), pages 221-254, February.
    2. Bejan, Camelia, 2008. "Production and financial decisions under uncertainty," MPRA Paper 11033, University Library of Munich, Germany.
    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. repec:spr:etbull:v:3:y:2015:i:2:d:10.1007_s40505-015-0073-9 is not listed on IDEAS
    5. repec:spr:joecth:v:64:y:2017:i:1:d:10.1007_s00199-016-0968-1 is not listed on IDEAS

    More about this item


    incomplete markets with production; constrained efficiency; Drèze equilibria;

    JEL classification:

    • D2 - Microeconomics - - Production and Organizations
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • G1 - Financial Economics - - General Financial Markets

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