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Matrix Game With The Preference Changing In Time


  • Guram N. BELTADZE

    () (Department of Control Systems, Georgian Technical University, 77, M. Kostava St., Tbilisi 0175, Georgia)


In this paper matrix game is defined, which elements are the functions of one argument differentiated for any kind of row in the [0, 1] interval. The following cases are discussed: 1). The functions are the polynomials not more of m-1 degree; 2). The functions are more common and have every kind of row uninterrupted derived in any positive interval For these matrix games the solutions (or saddle points) are defined in the positive interval in the pure and mixed strategies. The questions of their existence are taken from the existence the solutions in the lexicographic matrix games m-measuring vectorial payoffs in the first case, during the unlimited measuring vectorial payoffs in the second case.

Suggested Citation

  • Guram N. BELTADZE, 2010. "Matrix Game With The Preference Changing In Time," Management Research and Practice, Research Centre in Public Administration and Public Services, Bucharest, Romania, vol. 2(2), pages 179-190, June.
  • Handle: RePEc:rom:mrpase:v:2:y:2010:i:2:p:179-190

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    References listed on IDEAS

    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Hensher, David A. & Stopher, Peter & Bullock, Philip, 2003. "Service quality--developing a service quality index in the provision of commercial bus contracts," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(6), pages 499-517, July.
    3. Chang, Yu-Hern & Yeh, Chung-Hsing, 2002. "A survey analysis of service quality for domestic airlines," European Journal of Operational Research, Elsevier, vol. 139(1), pages 166-177, May.
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    More about this item


    matrix game; lexicographic game; solution.;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General


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