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Non-Trivial Equilibrium in an Economy With Stochastic Rationing

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  • Seppo Honkapohja
  • Takatoshi Ito

Abstract

Stochastic rationing when the market does not clear draws attention because both Dreze (1975) and Benassy (1975) quantity-constrained equilibria have some undesirable features. Gale (1978)gave the existence proof of trade under uncertainty. His stochastic rationing depends on all the individual effective demands. It is too vague to characterize a rationing mechanism. Moreover, his assumption to ensure a non-trivial equilibrium is economically not clear. In this paper we extend Green (1978) to characterizing the rationing scheme as the individual effective demand times the rationing number which is a function of the aggregate quantity signals. We also construct an economy with money and overlapping generations. We show the existence of the non-trivial equilibrium and provide an example of a non-Wairasian equilibrium at the Walrasian equilibrium prices.

Suggested Citation

  • Seppo Honkapohja & Takatoshi Ito, 1979. "Non-Trivial Equilibrium in an Economy With Stochastic Rationing," NBER Working Papers 0322, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:0322
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    References listed on IDEAS

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    1. Fuchs, Gerard, 1977. "Formation of expectations : A model in temporary general equilibrium theory," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 167-187, August.
    2. Grandmont, Jean-Michel & Laroque, Guy, 1973. "Money in the pure consumption loan model," Journal of Economic Theory, Elsevier, vol. 6(4), pages 382-395, August.
    3. Fuchs, Gerard & Laroque, Guy, 1976. "Dynamics of Temporary Equilibria and Expectations," Econometrica, Econometric Society, vol. 44(6), pages 1157-1178, November.
    4. Jean-Pascal Benassy, 1975. "Neo-Keynesian Disequilibrium Theory in a Monetary Economy," Review of Economic Studies, Oxford University Press, vol. 42(4), pages 503-523.
    5. Fuchs, Gerard, 1976. "Asymptotic stability of stationary temporary equilibria and changes in expectations," Journal of Economic Theory, Elsevier, vol. 13(2), pages 201-216, October.
    6. Grandmont, Jean-Michel, 1972. "Continuity properties of a von Neumann-Morgenstern utility," Journal of Economic Theory, Elsevier, vol. 4(1), pages 45-57, February.
    7. Bohm, Volker, 1978. "Disequilibrium dynamics in a simple macroeconomic model," Journal of Economic Theory, Elsevier, vol. 17(2), pages 179-199, April.
    8. Walter Perrin Heller & Ross M. Starr, 1979. "Unemployment Equilibrium with Myopic Complete Information," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 339-359.
    9. Ito, Takatoshi, 1979. "An example of a non-Walrasian equilibrium with stochastic rationing at the Walrasian equilibrium prices," Economics Letters, Elsevier, vol. 2(1), pages 13-19.
    10. Green, Jerry R & Majumdar, Mukul, 1975. "The Nature of Stochastic Equilibria," Econometrica, Econometric Society, vol. 43(4), pages 647-660, July.
    11. Grandmont, Jean-Michel & Hildenbrand, Werner, 1974. "Stochastic processes of temporary equilibria," Journal of Mathematical Economics, Elsevier, vol. 1(3), pages 247-277, December.
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    Cited by:

    1. Weinrich, Gerd, 1984. "Les effets du changement du taux de salaire dans un état de chômage keynésien avec rationnement stochastique," L'Actualité Economique, Société Canadienne de Science Economique, vol. 60(4), pages 452-470, décembre.
    2. Seppo Honkapohja & Takatoshi Ito, 1979. "A Stochastic Approach to Disequilibrium Macroeconomics," NBER Technical Working Papers 0001, National Bureau of Economic Research, Inc.
    3. Takatoshi Ito, 1979. "A Note on Stochastic Rationing Mechanisms," NBER Working Papers 0313, National Bureau of Economic Research, Inc.

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