Improving cuckoo optimization algorithm for solving multimodal problems and non-cooperative games

There are several optimal solutions for a multimodal optimization problem. In fact, a multimodal problem has several optimal points and all these points help to find the solution. In this paper, a new algorithm based on Cuckoo Optimization Algorithm is presented for solving the multimodal problems. In the proposed algorithm, the multimodal optima are searched in a separate group of cuckoos which have no coevolution relation. The performance of the proposed algorithm on the multimodal testing functions has shown the proper results in finding the optimal points and also reducing the number of function assessments. As a practical matter and closeness to the real world problems, finding the Nash equilibrium points in the noncooperative several-individual games is categorized under hard problems which the mathematical techniques cannot identify all the equilibrium points to solve. The results of proposed method indicate its performance compare to other methods in finding all parts of the Nash equilibrium points.