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Отображения С Валовой Заменимостью В Теории Экономического Равновесия
[Gross Substitutability Mappings in Economic Equilibrium Theory]

Author

Listed:
  • Polterovich, Victor
  • Spivak, Vladimir

Abstract

A survey of the results relating to the application of gross substitutability in economic equilibrium theory. The topics considered include existence and uniqueness of equilibrium, comparative statics, coalition stability, and stability of price-adjustment tatonnement processes. The main theorems cover the case of multivalued demand satisfying the gross substitutability condition and, in particular, are applicable to linear exchange models.

Suggested Citation

  • Polterovich, Victor & Spivak, Vladimir, 1982. "Отображения С Валовой Заменимостью В Теории Экономического Равновесия
    [Gross Substitutability Mappings in Economic Equilibrium Theory]
    ," MPRA Paper 21814, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:21814
    as

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    File URL: https://mpra.ub.uni-muenchen.de/21814/1/MPRA_paper_21814.pdf
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    References listed on IDEAS

    as
    1. J. P. Quirk, 1968. "Comparative Statics under Walras' Law: the Case of Strong Dependence," Review of Economic Studies, Oxford University Press, vol. 35(1), pages 11-21.
    2. Kusumoto, Sho-Ichiro, 1976. "Extensions of the Le Chatelier-Samuelson Principle and Their Applications to Analytical Economics-Constraints and Economic Analysis," Econometrica, Econometric Society, vol. 44(3), pages 509-535, May.
    3. Champsaur, Paul & Dreze, Jacques H & Henry, Claude, 1977. "Stability Theorems with Economic Applications," Econometrica, Econometric Society, vol. 45(2), pages 273-294, March.
    4. Sato, Ryuzo, 1973. "On the Stability Properties of Dynamic Economic Systems," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 753-764, October.
    5. W. M. Gorman, 1964. "More Scope for Qualitative Economics," Review of Economic Studies, Oxford University Press, vol. 31(1), pages 65-68.
    6. Ginsburgh, Victor & Waelbroeck, Jean, 1979. "A Note on the Simultaneous Stability of Tatonnement Processes for Computing Equilibria," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(2), pages 367-380, June.
    7. Ryuzo Sato, 1972. "The Stability of the Competitive System which contains Gross Complementary Goods," Review of Economic Studies, Oxford University Press, vol. 39(4), pages 495-499.
    8. Sandberg, I. W., 1975. "A note on market equilibrium with fixed supply," Journal of Economic Theory, Elsevier, vol. 11(3), pages 456-461, December.
    9. Tamir, Arie, 1977. "A further note on market equilibrium with fixed supply," Journal of Economic Theory, Elsevier, vol. 15(2), pages 392-393, August.
    10. Okuguchi, Koji, 1978. "Matrices with dominant diagonal blocks and economic theory," Journal of Mathematical Economics, Elsevier, vol. 5(1), pages 43-52, March.
    11. M. Morishima, 1970. "A Generalization of the Gross Substitute System," Review of Economic Studies, Oxford University Press, vol. 37(2), pages 177-186.
    12. Blad, Michael C., 1978. "On the speed of adjustment in the classical tatonnement process: A limit result," Journal of Economic Theory, Elsevier, vol. 19(1), pages 186-191, October.
    13. Rader, Trout, 1972. "General equilibrium theory with complementary factors," Journal of Economic Theory, Elsevier, vol. 4(3), pages 372-380, June.
    14. Guesnerie, Roger & Laffont, Jean-Jacques, 1978. "Advantageous Reallocations of Initial Resources," Econometrica, Econometric Society, vol. 46(4), pages 835-841, July.
    15. Koo Yun, Kwan, 1979. "On the existence of a unique and stable market equilibrium," Journal of Economic Theory, Elsevier, vol. 20(1), pages 118-123, February.
    16. Balasko, Yves, 1978. "The Transfer Problem and the Theory of Regular Economies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(3), pages 687-694, October.
    17. Michihiro Ohyama, 1972. "On the Stability of Generalized Metzlerian Systems," Review of Economic Studies, Oxford University Press, vol. 39(2), pages 193-203.
    18. Sandberg, I. W., 1978. "A criterion for the global stability of a price adjustment process," Journal of Economic Theory, Elsevier, vol. 19(1), pages 192-199, October.
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    Citations

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    Cited by:

    1. Marakulin Valery, 2006. "On convergence of contractual trajectories in pure exchange economies," EERC Working Paper Series 06-07e, EERC Research Network, Russia and CIS.

    More about this item

    Keywords

    gross substitutability; economic equilibrium theory; existence and uniqueness of equilibrium; coalition stability; stability of price-adjustment tatonnement processes;

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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