A tool for solving differential games with co-evolutionary algorithms
Francisco Gordillo, Ismael Alcalá, J. Aracil · 1999
Game theory is concerned with optimization problems involving several players with conflicting interests. Differential games are an interesting area inside this field in which the problem is formulated by means of dynamical systems. In spite that the theoretical solution of differential games is well known, faced with large-scale, complex systems, analytical or, even, numerical methods are not usually suitable. Genetic algorithms appear to be useful for solving such problems when dealing with nonlinear, large-scale systems. This paper shows how co-evolutionary algorithms can be applied to solve differential games and presents a computer tool to formulate and solve these problems. The differential equations which define the system under study are written in Vensim, a visual modeling tool. The usefulness of the presented tool is shown by means of two examples.