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Core Equivalence Theorem with Production

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  • Xiong, Siyang
  • Zheng, Charles Zhoucheng

Abstract

In production economies, the extent to which non-equilibria are blocked depends on the allocation of control rights among shareholders, because a blocking coalition's resources are affected by the firms it jointly owns with outsiders. We formulate a notion of blocking that takes such interdependency problem into account, and we prove an analog of the Debreu-Scarf theorem for replica production economies. Our theorem differs from theirs in using an additional assumption, which we argue is indispensable and is driven by the interdependency problem.

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Bibliographic Info

Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 12697.

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Date of creation: 01 Nov 2007
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Publication status: Published in Journal of Economic Theory, November 2007, vol. 137 no. 1, pp. 246-270
Handle: RePEc:isu:genres:12697

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Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
Phone: +1 515.294.6741
Fax: +1 515.294.0221
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Web page: http://www.econ.iastate.edu
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  1. Boehm, Volker, 1974. "The Core of an Economy with Production," Review of Economic Studies, Wiley Blackwell, vol. 41(3), pages 429-36, July.
  2. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William Zame, 1997. "Clubs and the Market: Large Finite Economies," UCLA Economics Working Papers 766, UCLA Department of Economics.
  3. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1999. "Clubs and the Market," Econometrica, Econometric Society, vol. 67(5), pages 1185-1218, September.
  4. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
  5. Boehm, Volker, 1974. "The Limit of the Core of an Economy with Production," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(1), pages 143-48, February.
  6. Edgeworth, Francis Ysidro, 1881. "Mathematical Psychics," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, number edgeworth1881.
  7. Haller, Hans, 1991. "Corporate Production and Shareholder Cooperation under Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(4), pages 823-42, November.
  8. Donald J. Brown & Charalambos Aliprantis & Owen Burkinshaw, 1985. "Edgeworth Equilibria," Cowles Foundation Discussion Papers 756R, Cowles Foundation for Research in Economics, Yale University.
    • Aliprantis, Charalambos D & Brown, Donald J & Burkinshaw, Owen, 1987. "Edgeworth Equilibria," Econometrica, Econometric Society, vol. 55(5), pages 1109-37, September.
  9. Aliprantis, Charalambos D. & Brown, Donald J. & Burkinshaw, Owen, 1987. "Edgeworth equilibria in production economies," Journal of Economic Theory, Elsevier, vol. 43(2), pages 252-291, December.
  10. Anderson, Robert M, 1978. "An Elementary Core Equivalence Theorem," Econometrica, Econometric Society, vol. 46(6), pages 1483-87, November.
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Cited by:
  1. Xiong, Siyang & Zheng, Charles Zhoucheng, 2008. "Interactive Blocking in Arrow-Debreu Economies," Staff General Research Papers 12882, Iowa State University, Department of Economics.
  2. Cato, Susumu, 2010. "Local strict envy-freeness in large economies," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 319-322, May.
  3. Zheng, Charles Zhoucheng, 2009. "A Coase Theorem Based on a New Concept of the Core," Staff General Research Papers 13051, Iowa State University, Department of Economics.
  4. Xiong, Siyang & Zheng, Charles Zhoucheng, 2007. "Stochastic Blocking and Core Convergence in Nonconvex Production Economies," Staff General Research Papers 12711, Iowa State University, Department of Economics.

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