IDEAS home Printed from https://ideas.repec.org/a/scn/cememm/v55y2019i3p141-143.html
   My bibliography  Save this article

Лемма Скарфа И Теорема Брауэра

Author

Listed:
  • Данилов В.И.

Abstract

ЦЭМИ, Москва; E-mail: vdanilov43@mail.ru Аннотация. В статье (Petri, Voorneveld, 2018) было предложено элементарное доказательство теоремы Брауэра о существовании неподвижных точек непрерывного отображения выпуклого компакта в себя. Оно основано на некотором комбинаторном утвержденеии, названном авторами леммой о нетретировании (no-bullying). В настоящей работе мы показываем, что эта лемма является переформулировкой знаменитой леммы Скарфа из классической статьи (Scarf, 1967). Обсуждается также связь нетретирования с понятием уравновешенных состояний, рассмотренных в работе (Данилов, Сотсков, 1987).

Suggested Citation

  • Данилов В.И., 2019. "Лемма Скарфа И Теорема Брауэра," Журнал Экономика и математические методы (ЭММ), Центральный Экономико-Математический Институт (ЦЭМИ), vol. 55(3), pages 141-143, июль.
  • Handle: RePEc:scn:cememm:v:55:y:2019:i:3:p:141-143
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    References listed on IDEAS

    as
    1. Petri, Henrik & Voorneveld, Mark, 2018. "No bullying! A playful proof of Brouwer’s fixed-point theorem," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 1-5.
    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.

      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:scn:cememm:v:55:y:2019:i:3:p:141-143. 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: Sergei Parinov (email available below). General contact details of provider: http://www.cemi.rssi.ru/emm/home.htm .

      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.