IDEAS home Printed from https://ideas.repec.org/a/kap/theord/v57y2004i4p345-365.html
   My bibliography  Save this article

Policy Stable States in the Graph Model for Conflict Resolution

Author

Listed:
  • Dao-Zhi Zeng
  • Liping Fang
  • Keith Hipel
  • D. Kilgour

Abstract

A new approach to policy analysis is formulated within the framework of the graph model for conflict resolution. A policy is defined as a plan of action for a decision maker (DM) that specifies the DM’s intended action starting at every possible state in a graph model of a conflict. Given a profile of policies, a Policy Stable State (PSS) is a state that no DM moves away from (according to its policy), and such that no DM would prefer to change its policy given the policies of the other DMs. The profile of policies associated to a PSS is called a Policy Equilibrium. Properties of PSSs are developed, and a refinement is suggested that restricts DMs to policies that are credible in that they are in the DM’s immediate interest. Relationships with existing stability definitions in the graph model for conflict resolution are then explored. Copyright Springer 2004

Suggested Citation

  • Dao-Zhi Zeng & Liping Fang & Keith Hipel & D. Kilgour, 2004. "Policy Stable States in the Graph Model for Conflict Resolution," Theory and Decision, Springer, vol. 57(4), pages 345-365, December.
  • Handle: RePEc:kap:theord:v:57:y:2004:i:4:p:345-365
    DOI: 10.1007/s11238-005-2459-x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11238-005-2459-x
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11238-005-2459-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Steven Brams & D. Kilgour, 1998. "Backward Induction Is Not Robust: The Parity Problem and the Uncertainty Problem," Theory and Decision, Springer, vol. 45(3), pages 263-289, December.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Sabino, Emerson Rodrigues & Rêgo, Leandro Chaves, 2024. "Minimax regret stability in the graph model for conflict resolution," European Journal of Operational Research, Elsevier, vol. 314(3), pages 1087-1097.
    2. Leandro Chaves Rêgo & Giannini Italino Alves Vieira, 2020. "Alternative Generalized Metarationalities for Multiple Decision-Maker Conflicts," Group Decision and Negotiation, Springer, vol. 29(3), pages 461-490, June.

    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. Jean-Marie Dufour, 2000. "Économétrie, théorie des tests et philosophie des sciences," CIRANO Working Papers 2000s-47, CIRANO.
    2. Edwin Woerdman, 2000. "Rationality And Stability In The Theory Of Moves," Rationality and Society, , vol. 12(1), pages 67-86, February.
    3. Bossert, Walter & Brams, Steven J. & Kilgour, D. Marc, 2002. "Cooperative vs non-cooperative truels: little agreement, but does that matter?," Games and Economic Behavior, Elsevier, vol. 40(2), pages 185-202, August.
    4. Brams Steven J., 2000. "Game Theory: Pitfalls and Opportunities in Applying It to International Relations," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 6(2), pages 1-11, April.
    5. Brams, S. J. & Kilgour, M. D., 2001. "Games That End in a Bang or a Whimper," Working Papers 01-05, C.V. Starr Center for Applied Economics, New York University.
    6. Dufwenberg, Martin & Van Essen, Matt, 2018. "King of the Hill: Giving backward induction its best shot," Games and Economic Behavior, Elsevier, vol. 112(C), pages 125-138.

    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:kap:theord:v:57:y:2004:i:4:p:345-365. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.