IDEAS home Printed from https://ideas.repec.org/p/isu/genres/12711.html
   My bibliography  Save this paper

Stochastic Blocking and Core Convergence in Nonconvex Production Economies

Author

Listed:
  • Xiong, Siyang
  • Zheng, Charles Zhoucheng

Abstract

In production economies, the extent to which non-equilibria are blocked depends on specific rules that allocate authority among shareholders, because a blocking coalition's resources are affected by the firms it jointly owns with outsiders. Based on a notion of stochastic blocking, we extend Anderson's (1978) core convergence theorem to production economies where preferences and technologies are not necessarily convex.

Suggested Citation

  • Xiong, Siyang & Zheng, Charles Zhoucheng, 2007. "Stochastic Blocking and Core Convergence in Nonconvex Production Economies," Staff General Research Papers Archive 12711, Iowa State University, Department of Economics.
  • Handle: RePEc:isu:genres:12711
    as

    Download full text from publisher

    File URL: http://www2.econ.iastate.edu/papers/p3864-2007-01-21.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Xiong, Siyang & Zheng, Charles Zhoucheng, 2007. "Core equivalence theorem with production," Journal of Economic Theory, Elsevier, vol. 137(1), pages 246-270, November.
    3. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    4. Anderson, Robert M, 1978. "An Elementary Core Equivalence Theorem," Econometrica, Econometric Society, vol. 46(6), pages 1483-1487, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. "Core equivalence theorem with production," Journal of Economic Theory, Elsevier, vol. 137(1), pages 246-270, November.
    4. Xiong, Siyang & Zheng, Charles Zhoucheng, 2008. "Interactive Blocking in Arrow-Debreu Economies," Staff General Research Papers Archive 12882, Iowa State University, Department of Economics.
    5. Sun, Ning & Trockel, Walter & Yang, Zaifu, 2008. "Competitive outcomes and endogenous coalition formation in an n-person game," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 853-860, July.
    6. 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.
    7. Athreya, Kartik B., 2014. "Big Ideas in Macroeconomics: A Nontechnical View," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262019736, April.
    8. Furth, Dave, 1998. "The core of the inductive limit of a direct system of economies with a communication structure," Journal of Mathematical Economics, Elsevier, vol. 30(4), pages 433-472, November.
    9. Alejandro Manelli, 1990. "Core Convergence Without Monotone Preferences or Free Disposal," Discussion Papers 891, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    10. Hervés-Beloso, Carlos & Moreno-García, Emma, 2009. "Walrasian analysis via two-player games," Games and Economic Behavior, Elsevier, vol. 65(1), pages 220-233, January.
    11. Kovalenkov, Alexander & Wooders, Myrna, 2003. "Approximate cores of games and economies with clubs," Journal of Economic Theory, Elsevier, vol. 110(1), pages 87-120, May.
    12. GREENBERG, Joseph & WEBER, Shlomo & YAMAZAKI, Akira, 2004. "On blocking coalitions : linking Mas-Colell with Grodal-Schmeidler-Vind," LIDAM Discussion Papers CORE 2004060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. Fatma Aslan & Papatya Duman & Walter Trockel, 2019. "Duality for General TU-games Redefined," Working Papers CIE 121, Paderborn University, CIE Center for International Economics.
    14. Alexander Kovalenkov & Myrna Wooders, 2003. "Advances in the theory of large cooperative games and applications to club theory; the side payments case," Chapters, in: Carlo Carraro (ed.), The Endogenous Formation of Economic Coalitions, chapter 1, Edward Elgar Publishing.
    15. Khan, M. Ali Khan, 2007. "Perfect Competition," MPRA Paper 2202, University Library of Munich, Germany.
    16. Dubey, Pradeep & Neyman, Abraham, 1997. "An Equivalence Principle for Perfectly Competitive Economies," Journal of Economic Theory, Elsevier, vol. 75(2), pages 314-344, August.
    17. 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.
    18. Yusuke Kamishiro & Roberto Serrano & Myrna Wooders, 2021. "Monopolists of scarce information and small group effectiveness in large quasilinear economies," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 801-827, December.
    19. Roberto Serrano, 2007. "Cooperative Games: Core and Shapley Value," Working Papers wp2007_0709, CEMFI.
    20. Inoue, Tomoki, 2014. "Indivisible commodities and an equivalence theorem on the strong core," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 22-35.

    More about this item

    Keywords

    core; coalition; production; blocking; core convergence; nonconvexity; stochastic blocking;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:isu:genres:12711. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Curtis Balmer (email available below). General contact details of provider: https://edirc.repec.org/data/deiasus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.