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In the paper the theoretical framework for cooperation and competition of coevolved population members working toward a common goal is presented. We use a formal model of Evolutionary Turing Machine and its extensions to justify that in general evolutionary algorithms belong to the class of super-recursive algorithms. Parallel and Parallel Weighted Evolutionary Turing Machine models have been proposed to capture properly cooperation and competition of the whole population expressed as an instance of multiobjective optimization.

THEORETICAL FRAMEWORK FOR COOPERATION AND COMPETITION IN EVOLUTIONARY COMPUTATION