IDEAS home Printed from https://ideas.repec.org/p/huj/dispap/dp623.html
   My bibliography  Save this paper

Continuous Values of Market Games are Conic

Author

Listed:
  • Omer Edhan

Abstract

We prove that every continuous value on a space of vector measure market games $Q$, containing the space of nonatomic measures $NA$, has the \textit{conic property}, i.e., if a game $v\in Q$ coincides with a nonatomic measure $\nu$ on a conical diagonal neighborhood then $\varphi(v)=\nu$. We deduce that every continuous value on the linear space $\mathcal M$, spanned by all vector measure market games, is determined by its values on $\mathcal{LM}$ - the space of vector measure market games which are Lipschitz functions of the measures.

Suggested Citation

  • 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.
    • Handle: RePEc:huj:dispap:dp623
    as

    Download full text from publisher

    File URL: http://ratio.huji.ac.il/sites/default/files/publications/dp623.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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. Edhan, Omer, 2015. "Payoffs in exact TU economies," Journal of Economic Theory, Elsevier, vol. 155(C), pages 152-184.
    2. Omer Edhan, 2012. "Values of Exact Market Games," Discussion Paper Series dp627, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    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.

    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. Dubey, Pradeep & Neyman, Abraham, 1984. "Payoffs in Nonatomic Economies: An Axiomatic Approach," Econometrica, Econometric Society, vol. 52(5), pages 1129-1150, September.
    2. 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.
    3. 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.
    4. Dubey, Pradeep & Neyman, Abraham, 1997. "An Equivalence Principle for Perfectly Competitive Economies," Journal of Economic Theory, Elsevier, vol. 75(2), pages 314-344, August.
    5. 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

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:huj:dispap:dp623. 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: Michael Simkin (email available below). General contact details of provider: https://edirc.repec.org/data/crihuil.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.