IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2509.15898.html
   My bibliography  Save this paper

Regularity properties of distributions of correspondences without countable generation: applications to large games

Author

Listed:
  • Motoki Otsuka

Abstract

We show that each of the regularity properties of regular conditional distributions of correspondences (convexity, closedness, compactness, and preservation of closed graphs) is equivalent to the condition of nowhere equivalence. This result does not require any countable-generation assumptions. As an application, we establish the existence of a pure-strategy equilibrium for large games with general trait spaces. The trait space may be an arbitrary measurable space. As a corollary, we obtain the existence of a pure-strategy equilibrium in semi-anonymous settings in which payoffs depend, in addition to agents' own actions, on the joint distribution over the space of agents and actions.

Suggested Citation

  • Motoki Otsuka, 2025. "Regularity properties of distributions of correspondences without countable generation: applications to large games," Papers 2509.15898, arXiv.org.
    • Handle: RePEc:arx:papers:2509.15898
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2509.15898
    File Function: Latest version
    Download Restriction: no
    ---><---

    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:arx:papers:2509.15898. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.