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The Existence of Competitive Equilibrium over an Infinite Horizon with Production and General Consumption Sets

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  • Boyd, John H, III
  • McKenzie, Lionel W

Abstract

Although many theorems have been proved on the existence of competitive equilibrium in production economies with an infinite set of goods and a finite set of consumers, nearly all suff er from a major defect. The consumption possibility sets are required t o equal the positive orthant. This rules out trade in personal service s and it does not allow for substitutions between goods on the subsistence boundary. Using methods similar to B. Peleg and M. E. Yaari (1970), the authors show both equilibrium existence and core equivalence for economies with production and general consumption sets. Copyright 1993 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

Suggested Citation

  • Boyd, John H, III & McKenzie, Lionel W, 1993. "The Existence of Competitive Equilibrium over an Infinite Horizon with Production and General Consumption Sets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(1), pages 1-20, February.
  • Handle: RePEc:ier:iecrev:v:34:y:1993:i:1:p:1-20
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    Cited by:

    1. van der Laan, Gerard & Withagen, Cees, 2003. "Quasi-equilibrium in economies with infinite dimensional commodity spaces: a truncation approach," Journal of Economic Dynamics and Control, Elsevier, vol. 27(3), pages 423-444, January.
    2. Tourky, Rabee, 1998. "A New Approach to the Limit Theorem on the Core of an Economy in Vector Lattices," Journal of Economic Theory, Elsevier, vol. 78(2), pages 321-328, February.
    3. Sun, Ning & Kusumoto, Sho-Ichiro, 1997. "A note on the Boyd-McKenzie theorem," Economics Letters, Elsevier, vol. 55(3), pages 327-332, September.
    4. Allouch, Nizar & Wooders, Myrna, 2008. "Price taking equilibrium in economies with multiple memberships in clubs and unbounded club sizes," Journal of Economic Theory, Elsevier, vol. 140(1), pages 246-278, May.
    5. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 19(1), pages 113-185, March.
    6. Gerard van der Laan & Cees Withagen, 2000. "General Equilibrium in Economies with Infinite Dimensional Commodity Spaces: A Truncation Approach," Tinbergen Institute Discussion Papers 00-023/1, Tinbergen Institute.
    7. Suzuki, Takashi, 2013. "Core and competitive equilibria of a coalitional exchange economy with infinite time horizon," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 234-244.
    8. Kaori Hasegawa, 2000. "The Second Fundamental Theorem of Welfare Economics and the Existence of Competitive Equilibrium over an Infinite Horizon with General Consumption Sets," Econometric Society World Congress 2000 Contributed Papers 1377, Econometric Society.
    9. Monique Florenzano & Valeri Marakulin, 2000. "Production Equilibria in Vector Lattices," Econometric Society World Congress 2000 Contributed Papers 1396, Econometric Society.
    10. Tourky, Rabee, 1999. "Production equilibria in locally proper economies with unbounded and unordered consumers," Journal of Mathematical Economics, Elsevier, vol. 32(3), pages 303-315, November.
    11. Takashi Suzuki, 2016. "A coalitional production economy with infinitely many indivisible commodities," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(1), pages 35-52, April.

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