• DocumentCode
    2239995
  • Title

    Chilled Domineering

  • Author

    Kao, Kuo-Yuan ; Wu, I-Chen ; Shan, Yi-Chang ; Lin, Hung-Hsuan

  • Author_Institution
    Dept. of Inf. Manage., Nat. Penghu Univ., Penghu, Taiwan
  • fYear
    2010
  • fDate
    18-20 Nov. 2010
  • Firstpage
    427
  • Lastpage
    432
  • Abstract
    This paper introduces a new game named Chilled Domineering, together with its mathematical analysis. Chilled Domineering is modified from the Domineering game by allowing a player placing a 1×1 domino while unable to place a 2×1 domino at a position. After modifying the rule, each position in the game becomes an infinitesimal. Many interesting infinitesimals are found in this new game. This paper calculates the game values of all sub-graphs of 3×3 squares and presents a rule to determine the outcome of any sum of these positions.
  • Keywords
    game theory; mathematical analysis; Chilled Domineering; game theory; mathematical analysis; Domineering; combinatorial games; infinitesimals;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Technologies and Applications of Artificial Intelligence (TAAI), 2010 International Conference on
  • Conference_Location
    Hsinchu City
  • Print_ISBN
    978-1-4244-8668-7
  • Electronic_ISBN
    978-0-7695-4253-9
  • Type

    conf

  • DOI
    10.1109/TAAI.2010.74
  • Filename
    5695487
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2239995