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Recently, game theory has been used to design optimized strategies for defending an electric power system against deliberate attacks. In this paper, we extend the current static model to a more generalized framework which includes several interaction models between defenders and attackers. A new criterion of reliable strategies for defending power systems has been derived. In addition, two allocation algorithms have been developed to seek reliable strategies for two types of defense tasks. The new criterion and algorithms are complementary to current security criteria and can provide useful information for decision-makers to protect their power systems against possible targeted attacks. Numerical simulation examples using the proposed methods are given as well.