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


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  • Polterovich, Victor
  • Spivak, Vladimir


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.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 21814.

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Date of creation: 1982
Date of revision:
Publication status: Published in Journal of Mathematical Sciences 26.4(1984): pp. 2013-2047
Handle: RePEc:pra:mprapa:21814

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

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  1. Sato, Ryuzo, 1972. "The Stability of the Competitive System which Contains Gross Complementary Goods," Review of Economic Studies, Wiley Blackwell, vol. 39(4), pages 495-99, October.
  2. Okuguchi, Koji, 1978. "Matrices with dominant diagonal blocks and economic theory," Journal of Mathematical Economics, Elsevier, vol. 5(1), pages 43-52, March.
  3. Victor Ginsburgh & Jean Waelbroeck, 1979. "A note on the simultaneous stability of tâtonnement processes for computing equilibria," ULB Institutional Repository 2013/1773, ULB -- Universite Libre de Bruxelles.
  4. 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.
  5. 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 687-94, October.
  6. 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 509-35, May.
  7. 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.
  8. Guesnerie, Roger & Laffont, Jean-Jacques, 1978. "Advantageous Reallocations of Initial Resources," Econometrica, Econometric Society, vol. 46(4), pages 835-41, July.
  9. Sandberg, I. W., 1975. "A note on market equilibrium with fixed supply," Journal of Economic Theory, Elsevier, vol. 11(3), pages 456-461, December.
  10. 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 753-64, October.
  11. Tamir, Arie, 1977. "A further note on market equilibrium with fixed supply," Journal of Economic Theory, Elsevier, vol. 15(2), pages 392-393, August.
  12. Morishima, M, 1970. "A Generalization of the Gross Substitute System," Review of Economic Studies, Wiley Blackwell, vol. 37(2), pages 177-86, April.
  13. Rader, Trout, 1972. "General equilibrium theory with complementary factors," Journal of Economic Theory, Elsevier, vol. 4(3), pages 372-380, June.
  14. Champsaur, Paul & Dreze, Jacques H & Henry, Claude, 1977. "Stability Theorems with Economic Applications," Econometrica, Econometric Society, vol. 45(2), pages 273-94, March.
  15. Ohyama, Michihiro, 1972. "On the Stability of Generalized Metzlerian Systems," Review of Economic Studies, Wiley Blackwell, vol. 39(2), pages 193-203, April.
  16. 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.
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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.


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