• DocumentCode
    2742214
  • Title

    Solution to the Tic-Tac-Toe Problem Using Hamming Distance Approach in a Neural Network

  • Author

    Rajani, Nazneen Fatema ; Dar, Gaurav ; Biswas, Rajoshi ; Ramesha, C.K.

  • Author_Institution
    Dept. of Inf. Syst., BITS Pilani, Pilani, India
  • fYear
    2011
  • fDate
    25-27 Jan. 2011
  • Firstpage
    3
  • Lastpage
    6
  • Abstract
    Paper focuses on developing an algorithm using a Hamming Distance Classifier in Neural Networks to find the most optimal move to be made in the Tic-Tac-Toe problem such that the game always ends in a win or a draw. The basic step involves an eight-class Hamming network which has nine inputs corresponding to each cell of the grid and eight outputs respectively. The algorithm computes the Hamming Distance of the current input configuration as compared to the weight matrix and the maximum of the output corresponds to the minimum distance. The iterative step is carried out to anticipate the next move for every possible current move. The hamming distance of all the iterations is added to basic step and the gross maximum gives the most profitable move. The algorithm proceeds such that the neural network prefers to itself win rather than preventing the opponent from winning in least possible moves.
  • Keywords
    game theory; neural nets; pattern classification; Hamming distance classifier; neural network; tic-tac-toe problem; Algorithm design and analysis; Artificial neural networks; Classification algorithms; Games; Hamming distance; Neurons; Software algorithms; Back Propagation Network; Hamming Distance Classifier;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Systems, Modelling and Simulation (ISMS), 2011 Second International Conference on
  • Conference_Location
    Kuala Lumpur
  • Print_ISBN
    978-1-4244-9809-3
  • Type

    conf

  • DOI
    10.1109/ISMS.2011.70
  • Filename
    5730310