IDEAS home Printed from
   My bibliography  Save this article

The Logical Representation of Extensive Games


  • Bonanno, Giacomo


Given an extensive form "G", we associate with every choice an atomic sentence and with every information set a set of well-formed formulas (wffs) of propositional calculus. The set of such wffs is denoted by [Gamma](G). Using the so-called topological semantics for propositional calculus (which differs from the standard one based on truth tables), we show that the extensive form yields a topological model of [Gamma](G), that is, every wff in [Gamma](G), is "true in G". We also show that, within the standard truth-table semantics for propositional calculus, there is a one-to-one and onto correspondence between the set of plays of G and the set of valuations that satisfy all the wffs in [Gamma](G).

Suggested Citation

  • Bonanno, Giacomo, 1993. "The Logical Representation of Extensive Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 22(2), pages 153-169.
  • Handle: RePEc:spr:jogath:v:22:y:1993:i:2:p:153-69

    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

    1. Alessandra Casella & Thomas Palfrey & Raymond Riezman, 2013. "Minorities and Storable Votes," World Scientific Book Chapters,in: International Trade Agreements and Political Economy, chapter 15, pages 247-282 World Scientific Publishing Co. Pte. Ltd..
    2. Klor, Esteban F & Winter, Eyal, 2006. "On Public Opinion Polls and Voters' Turnout," CEPR Discussion Papers 5669, C.E.P.R. Discussion Papers.
    3. repec:cup:apsrev:v:62:y:1968:i:01:p:25-42_11 is not listed on IDEAS
    4. Jacob Goeree & Jens Gro├čer, 2007. "Welfare Reducing Polls," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(1), pages 51-68, April.
    5. Casella, Alessandra, 2005. "Storable votes," Games and Economic Behavior, Elsevier, vol. 51(2), pages 391-419, May.
    Full references (including those not matched with items on IDEAS)


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

    Cited by:

    1. Feinberg, Yossi, 2005. "Subjective reasoning--dynamic games," Games and Economic Behavior, Elsevier, vol. 52(1), pages 54-93, July.

    More about this item


    Access and download statistics


    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:spr:jogath:v:22:y:1993:i:2:p:153-69. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla) or (Rebekah McClure). General contact details of provider: .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.