IDEAS home Printed from https://ideas.repec.org/p/toh/tergaa/481.html
   My bibliography  Save this paper

On the multiplicative law of subjective probability

Author

Listed:
  • Mitsunobu MIYAKE

Abstract

This note elaborates on Luce and Narens' (1978) axiomatic derivation of subjective probability, which generically satisfies the multiplicative law by removing requirement for the derived subjective probability to be non-atomic. For the two original sample spaces, we add the sample space defined by the direct product of the original sample spaces and the sample space of the auxiliary experiment. As a main result, the necessary and sufficient conditions are provided for the likelihood relation on the events of the sample spaces to be represented by the subjective probability satisfying the law with respect to the direct product, allowing atoms in the original sample spaces.

Suggested Citation

  • Mitsunobu MIYAKE, 2024. "On the multiplicative law of subjective probability," TERG Discussion Papers 481, Graduate School of Economics and Management, Tohoku University.
    • Handle: RePEc:toh:tergaa:481
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10097/00135611
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Zhang, Hanzhe, 2013. "Evolutionary justifications for non-Bayesian beliefs," Economics Letters, Elsevier, vol. 121(2), pages 198-201.
    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.
    1. Takanori IDA & Ryo OKUI, 2019. "Can information alleviate overconfidence? A randomized experiment on financial market predictions," Discussion papers e-19-005, Graduate School of Economics , Kyoto University.
    2. repec:ris:msuecw:2019_004 is not listed on IDEAS
    3. Herold, Florian & Netzer, Nick, 2023. "Second-best probability weighting," Games and Economic Behavior, Elsevier, vol. 138(C), pages 112-125.
    4. Wu, Jiabin & Zhang, Hanzhe, 2021. "Preference evolution in different matching markets," European Economic Review, Elsevier, vol. 137(C).

    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:toh:tergaa:481. 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: Tohoku University Library (email available below). General contact details of provider: https://edirc.repec.org/data/fetohjp.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.