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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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  • Xiong, Siyang & Zheng, Charles Zhoucheng, 2007. "Core equivalence theorem with production," Journal of Economic Theory, Elsevier, vol. 137(1), pages 246-270, November.
    • Handle: RePEc:eee:jetheo:v:137:y:2007:i:1:p:246-270
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    1. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 2006. "The Organization of Production, Consumption and Learning," Studies in Economic Theory, in: Christian Schultz & Karl Vind (ed.), Institutions, Equilibria and Efficiency, chapter 9, pages 149-185, Springer.
    2. 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 823-842, November.
    3. 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.
    4. Aliprantis, Charalambos D & Brown, Donald J & Burkinshaw, Owen, 1987. "Edgeworth Equilibria," Econometrica, Econometric Society, vol. 55(5), pages 1109-1137, September.
    5. Ellickson, Bryan & Grodal, Birgit & Scotchmer, Suzanne & Zame, William R., 2001. "Clubs and the Market: Large Finite Economies," Journal of Economic Theory, Elsevier, vol. 101(1), pages 40-77, November.
    6. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1999. "Clubs and the Market," Econometrica, Econometric Society, vol. 67(5), pages 1185-1218, September.
    7. 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 143-148, February.
    8. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    9. Anderson, Robert M, 1978. "An Elementary Core Equivalence Theorem," Econometrica, Econometric Society, vol. 46(6), pages 1483-1487, November.
    10. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    11. Edgeworth, Francis Ysidro, 1881. "Mathematical Psychics," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, number edgeworth1881.
    12. Volker Boehm, 1974. "The Core of an Economy with Production," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(3), pages 429-436.
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    Cited by:

    1. Hans Gersbach & Hans Haller, 2011. "General Equilibrium with Multi-Member Households and Production," CESifo Working Paper Series 3659, CESifo.
    2. Zheng, Charles Zhoucheng, 2009. "A Coase Theorem Based on a New Concept of the Core," Staff General Research Papers Archive 13051, Iowa State University, Department of Economics.
    3. Xiong, Siyang & Zheng, Charles Zhoucheng, 2007. "Stochastic blocking and core convergence in nonconvex production economies," ISU General Staff Papers 200701210800001177, Iowa State University, Department of Economics.
    4. Maria Gabriella Graziano & Vincenzo Platino, 2024. "A measure of social loss for production economies with externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(2), pages 443-474, September.
    5. Xiong, Siyang & Zheng, Charles Zhoucheng, 2008. "Interactive Blocking in Arrow-Debreu Economies," Staff General Research Papers Archive 12882, Iowa State University, Department of Economics.
    6. Cato, Susumu, 2010. "Local strict envy-freeness in large economies," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 319-322, May.

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