IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v44y2008i2p96-111.html
   My bibliography  Save this article

Indivisible commodities and the nonemptiness of the weak core

Author

Listed:
  • Inoue, Tomoki

Abstract

No abstract is available for this item.

Suggested Citation

  • Inoue, Tomoki, 2008. "Indivisible commodities and the nonemptiness of the weak core," Journal of Mathematical Economics, Elsevier, vol. 44(2), pages 96-111, January.
    • Handle: RePEc:eee:mateco:v:44:y:2008:i:2:p:96-111
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(07)00002-X
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Emmerson, Richard D., 1972. "Optima and market equilibria with indivisible commodities," Journal of Economic Theory, Elsevier, vol. 5(2), pages 177-188, October.
    2. Konishi, Hideo & Quint, Thomas & Wako, Jun, 2001. "On the Shapley-Scarf economy: the case of multiple types of indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 35(1), pages 1-15, February.
    3. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    4. Danilov, Vladimir & Koshevoy, Gleb & Murota, Kazuo, 2001. "Discrete convexity and equilibria in economies with indivisible goods and money," Mathematical Social Sciences, Elsevier, vol. 41(3), pages 251-273, May.
    5. 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.
    6. Kazuo Murota & Akiyoshi Shioura, 1999. "M-Convex Function on Generalized Polymatroid," Mathematics of Operations Research, INFORMS, vol. 24(1), pages 95-105, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Satoru Fujishige & Zaifu Yang, 2019. "Markovian Core, Indivisibility, and Successive Pareto-Improvements," Discussion Papers 19/11, Department of Economics, University of York.
    2. Michael Florig & Jorge Rivera, 2015. "Existence of a competitive equilibrium when all goods are indivisible," Working Papers wp403, University of Chile, Department of Economics.
    3. Federico Echenique & Sumit Goel & SangMok Lee, 2022. "Stable allocations in discrete exchange economies," Papers 2202.04706, arXiv.org, revised Feb 2024.
    4. Florig, Michael & Rivera, Jorge, 2017. "Existence of a competitive equilibrium when all goods are indivisible," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 145-153.
    5. Inoue, Tomoki, 2014. "Indivisible commodities and an equivalence theorem on the strong core," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 22-35.
    6. Satoru Fujishige & Zaifu Yang, 2022. "Barter markets, indivisibilities, and Markovian core," Bulletin of Economic Research, Wiley Blackwell, vol. 74(1), pages 39-48, January.
    7. Afacan, Mustafa Oğuz & Hu, Gaoji & Li, Jiangtao, 2024. "Housing markets since Shapley and Scarf," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    8. Kazuo Murota, 2016. "Discrete convex analysis: A tool for economics and game theory," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 151-273, December.
    9. 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.
    10. 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.

    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. Aslan, Fatma & Lainé, Jean, 2020. "Competitive equilibria in Shapley–Scarf markets with couples," Journal of Mathematical Economics, Elsevier, vol. 89(C), pages 66-78.
    2. Ivan Balbuzanov & Maciej H. Kotowski, 2019. "Endowments, Exclusion, and Exchange," Econometrica, Econometric Society, vol. 87(5), pages 1663-1692, September.
    3. Yu, Jingsheng & Zhang, Jun, 2022. "Cores and mechanisms in restricted housing markets," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    4. Morimitsu Kurino, 2014. "House Allocation with Overlapping Generations," American Economic Journal: Microeconomics, American Economic Association, vol. 6(1), pages 258-289, February.
    5. de Regt, E.R., 2005. "Overtime and short-time with fluctuating absenteeism and demand," Research Memorandum 027, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    6. Elizabeth Baldwin & Paul Klemperer, 2019. "Understanding Preferences: “Demand Types”, and the Existence of Equilibrium With Indivisibilities," Econometrica, Econometric Society, vol. 87(3), pages 867-932, May.
    7. Di Feng, 2023. "Endowments-swapping-proofness and Efficiency in Multiple-Type Housing Markets," Discussion Paper Series DP2023-14, Research Institute for Economics & Business Administration, Kobe University.
    8. Aziz, Haris & Brandt, Felix & Harrenstein, Paul, 2013. "Pareto optimality in coalition formation," Games and Economic Behavior, Elsevier, vol. 82(C), pages 562-581.
    9. Morrill, Thayer & Roth, Alvin E., 2024. "Top trading cycles," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    10. William Phan, 2019. "Efficient and incentive compatible exchange of real-time information," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 205-242, March.
    11. Satoru Fujishige & Zaifu Yang, 2002. "Existence of an Equilibrium in a General Competitive Exchange Economy with Indivisible Goods and Money," Annals of Economics and Finance, Society for AEF, vol. 3(1), pages 135-147, May.
    12. Michael Florig & Jorge Rivera, 2015. "Existence of a competitive equilibrium when all goods are indivisible," Working Papers wp403, University of Chile, Department of Economics.
    13. Takaaki Abe & Yukihiko Funaki, 2018. "The Unbinding Core for Coalitional Form Games," Working Papers 1805, Waseda University, Faculty of Political Science and Economics.
    14. Feng, Di & Klaus, Bettina & Klijn, Flip, 2024. "Characterizing the typewise top-trading-cycles mechanism for multiple-type housing markets," Games and Economic Behavior, Elsevier, vol. 146(C), pages 234-254.
    15. Klaus, Bettina & Dimitrov, Dinko & Haake, Claus-Jochen, 2006. "Bundling in exchange markets with indivisible goods," Economics Letters, Elsevier, vol. 93(1), pages 106-110, October.
    16. Koshevoy, G.A. & Talman, A.J.J., 2006. "Competitive Equilibria in Economies with Multiple Divisible and Indivisible Commodities and No Money," Other publications TiSEM 130306fe-6e3c-499c-b776-c, Tilburg University, School of Economics and Management.
    17. Schummer, James & Abizada, Azar, 2017. "Incentives in landing slot problems," Journal of Economic Theory, Elsevier, vol. 170(C), pages 29-55.
    18. Danilov, Vladimir & Koshevoy, Gleb & Murota, Kazuo, 2001. "Discrete convexity and equilibria in economies with indivisible goods and money," Mathematical Social Sciences, Elsevier, vol. 41(3), pages 251-273, May.
    19. Elizabeth Baldwin & Paul W. Goldberg & Paul Klemperer & Edwin Lock, 2019. "Solving Strong-Substitutes Product-Mix Auctions," Economics Papers 2019-W08, Economics Group, Nuffield College, University of Oxford.
    20. 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.

    More about this item

    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:eee:mateco:v:44:y:2008:i:2:p:96-111. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    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.