IDEAS home Printed from https://ideas.repec.org/p/col/000176/013417.html
   My bibliography  Save this paper

Basic Analysis of The Hex Game

Author

Listed:
  • Mike Woodcock
  • Fernando Uscategui
  • David Corrales

Abstract

The objective of this paper is to analyze the game of Hex through the use of Game Theory and Graph Theory. Hex is a game where each player must connect two opposite sides by a continuous path of pieces in a hexagonal grid within a rhombus-shaped board. The size of the board is usually 14×14 but the game can be found in a wide range of sizes such as 11×11 and 17×17. Although the strategy is not as deep as in chess, it is still complex, and just like chess, Hex is a no-chance game, and thus it is a perfect candidate to be examined using some formal tools. This game has some interesting features that make it more interesting; unlike chess, the game will never end in a tie, second, the number of possible movements is finite and third, the second player will always win, through this paper, we will show some of these features.

Suggested Citation

  • Mike Woodcock & Fernando Uscategui & David Corrales, 2015. "Basic Analysis of The Hex Game," Econógrafos, Escuela de Economía 13417, Universidad Nacional de Colombia, FCE, CID.
    • Handle: RePEc:col:000176:013417
    as

    Download full text from publisher

    File URL: http://fce.unal.edu.co/centro-editorial/docs/econografos-escuela-economia/80-basic-analysis-of-the-hex-game
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    Game theory; Hex; Strategy; Hex Theorem; Strategy-stealing;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

    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:col:000176:013417. 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: Facultad de Ciencias Económicas Unal (email available below). General contact details of provider: https://edirc.repec.org/data/funalco.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.