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Core Convergence Without Monotone Preferences or Free Disposal

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Author Info
Alejandro Manelli
Abstract

We prove some core convergence theorems for finite economies without monotone preferences or free disposal of commodities. When these assumptions are relaxed, the relationship between the continuum and the large finite economies is lost. Extra conditions are needed, in general, to obtain convergence results.

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File URL: http://www.kellogg.northwestern.edu/research/math/papers/891.pdf
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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 891.

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Date of creation: May 1990
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Handle: RePEc:nwu:cmsems:891

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  1. Anderson, Robert M, 1988. "The Second Welfare Theorem with Nonconvex Preferences," Econometrica, Econometric Society, vol. 56(2), pages 361-82, March. [Downloadable!] (restricted)
  2. Anderson, Robert M, 1978. "An Elementary Core Equivalence Theorem," Econometrica, Econometric Society, vol. 46(6), pages 1483-87, November. [Downloadable!] (restricted)
  3. Anderson, Robert M, 1985. "Strong Core Theorems with Nonconvex Preferences," Econometrica, Econometric Society, vol. 53(6), pages 1283-94, November. [Downloadable!] (restricted)
  4. Anderson, Robert M, 1981. "Core Theory with Strongly Convex Preferences," Econometrica, Econometric Society, vol. 49(6), pages 1457-68, November. [Downloadable!] (restricted)
  5. Hart, Oliver D. & Kuhn, Harold W., 1975. "A proof of the existence of equilibrium without the free disposal assumption," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 335-343, December. [Downloadable!] (restricted)
  6. Shitovitz, Benyamin, 1973. "Oligopoly in Markets with a Continuum of Traders," Econometrica, Econometric Society, vol. 41(3), pages 467-501, May. [Downloadable!] (restricted)
  7. Trockel, Walter, 1976. "A limit theorem on the core," Journal of Mathematical Economics, Elsevier, vol. 3(3), pages 247-264, December. [Downloadable!] (restricted)
  8. Robert M. Anderson, 1981. "Core Theory with Strongly Convex Preferences," Cowles Foundation Discussion Papers 578, Cowles Foundation, Yale University. [Downloadable!]
  9. Bergstrom, Theodore C., 1976. "How to discard `free disposability' - at no cost," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 131-134, July. [Downloadable!] (restricted)
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  10. Khan, M Ali, 1974. "Some Equivalence Theorems," Review of Economic Studies, Blackwell Publishing, vol. 41(4), pages 549-65, October. [Downloadable!] (restricted)
  11. Gerard Debreu, 1961. "New Concepts and Techniques for Equilibrium Analysis," Cowles Foundation Discussion Papers 129, Cowles Foundation, Yale University. [Downloadable!]
  12. Bewley, Truman F, 1973. "Edgeworth's Conjecture," Econometrica, Econometric Society, vol. 41(3), pages 425-54, May. [Downloadable!] (restricted)
  13. Gabszewicz, Jean Jaskold & Mertens, Jean-Francois, 1971. "An Equivalence Theorem for the Core of an Economy Whose Atoms Are Not 'Too' Big," Econometrica, Econometric Society, vol. 39(5), pages 713-21, September. [Downloadable!] (restricted)
  14. Ted Bergstrom, 1973. "Competitive Equilibrium Without Transitivity, Monotonicity, or Free Disposal," University of California at Santa Barbara, Economics Working Paper Series 1973D, Department of Economics, UC Santa Barbara. [Downloadable!]
  15. Dierker, Egbert, 1975. "Gains and losses at core allocations," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 119-128. [Downloadable!] (restricted)
  16. Grodal, Birgit & Trockel, Walter & Weber, Shlomo, 1984. "On approximate cores of non-convex economies," Economics Letters, Elsevier, vol. 15(3-4), pages 197-202. [Downloadable!] (restricted)
  17. Alejandro Manelli, 1989. "Monotonic Preferences and Core Equivalence," Discussion Papers 859, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  18. Brown, Donald J. & Robinson, Abraham, 1974. "The cores of large standard exchange economies," Journal of Economic Theory, Elsevier, vol. 9(3), pages 245-254, November. [Downloadable!] (restricted)
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