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Do pure indivisibilities prevent core equivalence? Core equivalence theorem in an atomless economy with purely indivisible commodities only

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  • Inoue, Tomoki

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  • Inoue, Tomoki, 2005. "Do pure indivisibilities prevent core equivalence? Core equivalence theorem in an atomless economy with purely indivisible commodities only," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 571-601, August.
  • Handle: RePEc:eee:mateco:v:41:y:2005:i:4-5:p:571-601
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    References listed on IDEAS

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    1. Florig, Michael, 2001. "Hierarchic competitive equilibria," Journal of Mathematical Economics, Elsevier, vol. 35(4), pages 515-546, July.
    2. Dierker, Egbert, 1971. "Equilibrium Analysis of Exchange Economies with Indivisible Commodities," Econometrica, Econometric Society, vol. 39(6), pages 997-1008, November.
    3. Schmeidler, David, 1972. "A Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 579-580, May.
    4. Yamazaki, Akira, 1981. "Diversified Consumption Characteristics and Conditionally Dispersed Endowment Distribution: Regularizing Effect and Existence of Equilibria," Econometrica, Econometric Society, vol. 49(3), pages 639-654, May.
    5. Anderson, Robert M, 1978. "An Elementary Core Equivalence Theorem," Econometrica, Econometric Society, vol. 46(6), pages 1483-1487, November.
    6. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    7. Mas-Colell, Andreu, 1977. "Indivisible commodities and general equilibrium theory," Journal of Economic Theory, Elsevier, vol. 16(2), pages 443-456, December.
    8. W. Hildenbrand, 1968. "The Core of an Economy with a Measure Space of Economic Agents," Review of Economic Studies, Oxford University Press, vol. 35(4), pages 443-452.
    9. Hara, C., 2004. "Existence of Equilibria and Core Convergence in Economies with Bads," Cambridge Working Papers in Economics 0413, Faculty of Economics, University of Cambridge.
    10. Anderson, Robert M., 1992. "The core in perfectly competitive economies," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 14, pages 413-457 Elsevier.
    11. Ali Khan, M. & Yamazaki, Akira, 1981. "On the cores of economies with indivisible commodities and a continuum of traders," Journal of Economic Theory, Elsevier, vol. 24(2), pages 218-225, April.
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    Cited by:

    1. Inoue, Tomoki, 2011. "Strong core equivalence theorem in an atomless economy with indivisible commodities," Center for Mathematical Economics Working Papers 418, Center for Mathematical Economics, Bielefeld University.
    2. Inoue, Tomoki, 2008. "Indivisible commodities and the nonemptiness of the weak core," Journal of Mathematical Economics, Elsevier, vol. 44(2), pages 96-111, January.
    3. Inoue, Tomoki, 2011. "Core allocations may not be Walras allocations in any large finite economy with indivisible commodities," Center for Mathematical Economics Working Papers 419, Center for Mathematical Economics, Bielefeld University.
    4. Inoue, Tomoki, 2014. "Indivisible commodities and an equivalence theorem on the strong core," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 22-35.
    5. Inoue, Tomoki, 2011. "Indivisible commodities and an equivalence theorem on the strong core," Center for Mathematical Economics Working Papers 417, Center for Mathematical Economics, Bielefeld University.

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