IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2408.17177.html
   My bibliography  Save this paper

Optimal Strategy in Werewolf Game: A Game Theoretic Perspective

Author

Listed:
  • ST Wang

Abstract

Werewolf game, also known as Mafia game, is a social deduction game that models the conflict between an informed minority (werewolf group) and an uninformed majority (citizen group). This paper explores the optimal strategies of the werewolf game from the perspective of game theory, focusing on cases both with and without prophet. First we examine the existing strategy in game without prophet and propose ``random strategy +", which provides an improved winning probability for the werewolve group. Then we further study the game with prophet, and find the game with prophet can be transformed into a extensive game with complete but imperfect information under a specific rule. We construct a model and design an algorithm to achieve PBE and maximize the citizen group's winning probability. In the end, we examine a property of PBE in game without any restriction.

Suggested Citation

  • ST Wang, 2024. "Optimal Strategy in Werewolf Game: A Game Theoretic Perspective," Papers 2408.17177, arXiv.org.
    • Handle: RePEc:arx:papers:2408.17177
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2408.17177
    File Function: Latest version
    Download Restriction: no
    ---><---

    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:arx:papers:2408.17177. 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.