IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v44y2015i2p377-386.html
   My bibliography  Save this article

The conic property for vector measure market games

Author

Listed:
  • Omer Edhan

Abstract

We prove that every continuous value on a space of vector measure market games $$Q$$ Q , containing the space of nonatomic measures $$NA$$ N A , has the conic property, i.e., if a game $$v\in Q$$ v ∈ Q coincides with a nonatomic measure $$\nu $$ ν on a conical diagonal neighborhood then $$\varphi (v)=\nu $$ φ ( v ) = ν . We deduce that every continuous value on the linear space $$\fancyscript{M}$$ M , spanned by all vector measure market games, is determined by its values on $$\fancyscript{L}\fancyscript{M}$$ L M - the space of vector measure market games which are Lipschitz functions of the measures. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Omer Edhan, 2015. "The conic property for vector measure market games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 377-386, May.
    • Handle: RePEc:spr:jogath:v:44:y:2015:i:2:p:377-386
    DOI: 10.1007/s00182-014-0434-x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00182-014-0434-x
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00182-014-0434-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Dubey, Pradeep & Neyman, Abraham, 1984. "Payoffs in Nonatomic Economies: An Axiomatic Approach," Econometrica, Econometric Society, vol. 52(5), pages 1129-1150, September.
    2. Abraham Neyman, 1977. "Continuous Values are Diagonal," Mathematics of Operations Research, INFORMS, vol. 2(4), pages 338-342, November.
    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. Omer Edhan, 2016. "Values of vector measure market games and their representations," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(1), pages 411-433, March.

    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. Haimanko, Ori, 2002. "Payoffs in Nondifferentiable Perfectly Competitive TU Economies," Journal of Economic Theory, Elsevier, vol. 106(1), pages 17-39, September.
    2. Martin Shubik, 2007. "The Theory of Money and Financial Institutions: A Summary of a Game Theoretic Approach," The IUP Journal of Monetary Economics, IUP Publications, vol. 0(2), pages 6-26, May.
    3. Omer Edhan, 2012. "Payoffs in Nondifferentiable Perfectly Competitive TU Economies," Discussion Paper Series dp629, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    4. Dubey, Pradeep & Neyman, Abraham, 1984. "Payoffs in Nonatomic Economies: An Axiomatic Approach," Econometrica, Econometric Society, vol. 52(5), pages 1129-1150, September.
    5. Omer Edhan, 2012. "Continuous Values of Market Games are Conic," Discussion Paper Series dp623, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    6. Einy, Ezra & Shitovitz, Benyamin, 1999. "Fine value allocations in large exchange economies with differential information," UC3M Working papers. Economics 6128, Universidad Carlos III de Madrid. Departamento de Economía.
    7. Einy, Ezra & Moreno, Diego & Shitovitz, Benyamin, 1999. "The Asymptotic Nucleolus of Large Monopolistic Market Games," Journal of Economic Theory, Elsevier, vol. 89(2), pages 186-206, December.
    8. Leonard J. Mirman, 1980. "A Sufficient Condition on f for f.u to be in pNAD," Discussion Papers 443, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    9. Einy, Ezra & Shitovitz, Benyamin, 2001. "Private Value Allocations in Large Economies with Differential Information," Games and Economic Behavior, Elsevier, vol. 34(2), pages 287-311, February.
    10. Omer Edhan, 2016. "Values of vector measure market games and their representations," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(1), pages 411-433, March.
    11. Dubey, Pradeep & Neyman, Abraham, 1997. "An Equivalence Principle for Perfectly Competitive Economies," Journal of Economic Theory, Elsevier, vol. 75(2), pages 314-344, August.
    12. Edhan, Omer, 2015. "Payoffs in exact TU economies," Journal of Economic Theory, Elsevier, vol. 155(C), pages 152-184.
    13. Pradeep Dubey & Abraham Neyman & Robert J. Weber, 1979. "Value Theory without Efficiency," Cowles Foundation Discussion Papers 513, Cowles Foundation for Research in Economics, Yale University.

    More about this item

    Keywords

    Shapley value; Nonatomic games;

    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:spr:jogath:v:44:y:2015:i:2:p:377-386. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.