Some Matrix Techniques in Game Theory
نویسنده
چکیده
In this paper, we discuss some matrix techniques in game theory. In particular, we give a short proof of the fact that equilibrium pairs of a two-person general-sum game can be found by solving certain systems of linear inequalities, and hence some standard linear programming packages such as LINDO or Maple can be used to do the computation. The technique is also used to study evolutionary games and auction games. In the former case, additional techniques are used to determine evolutionary stable strategies, and it is also shown that the computation can be done by LINDO.
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