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  • 1.
    Fridenfalk, Mikael
    Uppsala University, Disciplinary Domain of Humanities and Social Sciences, Faculty of Arts, Department of Game Design.
    Equalization and Variation Enhancement in Strategic Multiplayer Games2014In: IEEE GEM 2014, 2014, p. 284-285Conference paper (Refereed)
    Abstract [en]

    This paper introduces two new categories of players, an equalization player, with the goal to minimize the score gap between the opponents, and a variation enhancement player, with the goal to maximize the same. In addition, a complementary player type is added to the classic max-player game, called the min-player, along with a mathematical formalization of basic strategies, yielding a new algorithm based on Hypermax. 

  • 2.
    Fridenfalk, Mikael
    Uppsala University, Disciplinary Domain of Humanities and Social Sciences, Faculty of Arts, Department of Game Design.
    N-Person Minimax and Alpha-Beta Pruning2014In: NICOGRAPH International 2014, 2014, p. 43-52Conference paper (Refereed)
    Abstract [en]

    This paper presents an N-person generalization of minimax aligned with the original definition. An efficient optimization method is further presented as a result of a straightforward mathematical extension of alpha-beta pruning to N-person games. 

  • 3.
    Fridenfalk, Mikael
    Uppsala University, Disciplinary Domain of Humanities and Social Sciences, Faculty of Arts, Department of Game Design.
    The Zero-Sum Tensor2014In: ADVCOMP 2014, The Eighth International Conference on Advanced Engineering Computing and Applications in Sciences, 2014, p. 62-64Conference paper (Refereed)
    Abstract [en]

    The zero-sum matrix, or in general, tensor, reveals some consistent properties at multiplication. In this paper, three mathematical rules are derived for multiplication involving such entities. The application of these rules may provide for a more concise and straightforward way to formulate mathematical proofs that rely on such matrices.

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