IDEAS home Printed from https://ideas.repec.org/p/hal/journl/halshs-00390701.html
   My bibliography  Save this paper

Repeated games with asymmetric information and random price fluctuations at finance markets : the case of countable state space

Author

Listed:
  • Victor C. Domansky

    (St. Petersburg Institute for Economics and Mathematics - RAS - Russian Academy of Sciences [Moscow])

  • Victoria L. Kreps

    (St. Petersburg Institute for Economics and Mathematics - RAS - Russian Academy of Sciences [Moscow])

Abstract

This paper is concerned with multistage bidding models introduced by De Meyer and Moussa Saley (2002) to analyze the evolution of the price system at finance markets with asymmetric information. The zero-sum repeated games with incomplete information are considered modeling the bidding with countable sets of possible prices and admissible bids. It is shown that, if the liquidation price of a share has a finite variance, then the sequence of values of n-step games is bounded and converges to the value of the game with infinite number of steps. We construct explicitly the optimal strategies for this game. The optimal strategy of Player 1 (the insider) generates a symmetric random walk of posterior mathematical expectations of liquidation price with absorption. The expected duration of this random walk is equal to the initial variance of liquidation price. The guaranteed total gain of Player 1 (the value of the game) is equal to this expected duration multiplied with the fixed gain per step.

Suggested Citation

  • Victor C. Domansky & Victoria L. Kreps, 2009. "Repeated games with asymmetric information and random price fluctuations at finance markets : the case of countable state space," Post-Print halshs-00390701, HAL.
    • Handle: RePEc:hal:journl:halshs-00390701
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00390701
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-00390701/document
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Fedor Sandomirskiy, 2018. "On Repeated Zero-Sum Games with Incomplete Information and Asymptotically Bounded Values," Dynamic Games and Applications, Springer, vol. 8(1), pages 180-198, March.
    2. Domansky, V. & Kreps, V., 2011. "Game Theoretic Bidding Model: Strategic Aspects of Price Formation at Stock Markets," Journal of the New Economic Association, New Economic Association, issue 11, pages 39-62.
    3. Domansky, Victor, 2013. "Symmetric representations of bivariate distributions," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1054-1061.

    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:hal:journl:halshs-00390701. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.