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When Non-Transitive Relations Take Maxima and Competitive Equilibrium Can't Be Beat

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Author Info
Bergstrom, T.

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Abstract

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Publisher Info
Paper provided by Michigan - Center for Research on Economic & Social Theory in its series Papers with number 18.

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Length: 24 pages
Date of creation: 1991
Date of revision:
Handle: RePEc:fth:michet:18

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Postal: UNIVERSITY OF MICHIGAN, DEPARTMENT OF ECONOMICS CENTER FOR RESEARCH ON ECONOMIC AND SOCIAL THEORY, ANN ARBOR MICHIGAN U.S.A.

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Keywords: economic equilibrium ; economic models;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Yannelis, Nicholas C. & Prabhakar, N. D., 1983. "Existence of maximal elements and equilibria in linear topological spaces," Journal of Mathematical Economics, Elsevier, vol. 12(3), pages 233-245, December. [Downloadable!] (restricted)
  2. Ted Bergstrom, 1975. "Maximal elements of Acyclic Relations on Compact Sets," University of California at Santa Barbara, Economics Working Paper Series 1975B, Department of Economics, UC Santa Barbara. [Downloadable!]
    Other versions:
  3. Mehta, Ghanshyam, 1987. "Weakly lower demicontinuous preference maps," Economics Letters, Elsevier, vol. 23(1), pages 15-18. [Downloadable!] (restricted)
  4. Schofield, Norman., . "Existence of Equilibrium on a Manifold," Working Papers 482, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  5. Schofield, Norman., . "Social Equilibrium and Cycles on Compact Sets," Working Papers 484, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
    Other versions:
  6. Geistdoerfer-Florenzano, Monique, 1982. "The gale-nikaido-debreu lemma and the existence of transitive equilibrium with or without the free-disposal assumption," Journal of Mathematical Economics, Elsevier, vol. 9(1-2), pages 113-134, January. [Downloadable!] (restricted)
  7. Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December. [Downloadable!] (restricted)
    Other versions:
  8. Shafer, Wayne J., 1976. "Equilibrium in economies without ordered preferences or free disposal," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 135-137, July. [Downloadable!] (restricted)
  9. Birchenhall, C. R., 1977. "Conditions for the existence of maximal elements in compact sets," Journal of Economic Theory, Elsevier, vol. 16(1), pages 111-115, October. [Downloadable!] (restricted)
  10. McKenzie, Lionel W, 1981. "The Classical Theorem on Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 49(4), pages 819-41, June. [Downloadable!] (restricted)
  11. Shafer, Wayne J, 1974. "The Nontransitive Consumer," Econometrica, Econometric Society, vol. 42(5), pages 913-19, September. [Downloadable!] (restricted)
  12. Ted Bergstrom & Robert Parks & Trout Rader, 1976. "Preferences Which Have Open Graphs," University of California at Santa Barbara, Economics Working Paper Series 1976B, Department of Economics, UC Santa Barbara. [Downloadable!]
    Other versions:
  13. Aliprantis, Charalambos D. & Brown, Donald J., 1983. "Equilibria in markets with a Riesz space of commodities," Journal of Mathematical Economics, Elsevier, vol. 11(2), pages 189-207, April. [Downloadable!] (restricted)
    Other versions:
  14. Ted Bergstrom, 1975. "The Existence of Maximal Elements and Equilibria in the Absence of Transitivity," University of California at Santa Barbara, Economics Working Paper Series 1975C, Department of Economics, UC Santa Barbara. [Downloadable!]
  15. Walker, Mark, 1977. "On the existence of maximal elements," Journal of Economic Theory, Elsevier, vol. 16(2), pages 470-474, December. [Downloadable!] (restricted)
  16. Shafer, Wayne & Sonnenschein, Hugo, 1976. "Equilibrium with Externalities, Commodity Taxation, and Lump Sum Transfers," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(3), pages 601-11, October. [Downloadable!] (restricted)
Full references

Cited by:
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  1. Norman Schofield & Robert P. Parks, 1993. "EXISTENCE OF NASH EQUILIBRIUM IN A SPATIAL MODEL OF n-PARTY COMPETITION," Public Economics 9308002, EconWPA, revised 25 Aug 1993. [Downloadable!]
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