论文信息 - On the stability of strategies in competitive systems

On the stability of strategies in competitive systems

This work discusses in some details the mathematical properties of competitive systems. It is demonstrated how an optimal strategy of any dynamic matrix game can be derived analytically. The number of various pure strategies contributing to the optimal strategy is found by analysing the properties of the gain matrix. A relationship between the stability and fitness of equilibrium states is established. It is shown that the fitness of the system can be expressed in terms of the eigenvalue spectrum of the system's stability matrix. The methods developed are applied to a few examples.

Sverrir Olafsson | S. Ólafsson

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