The comparative analysis of Nash’s equilibrium and Pareto-optimal set in non-antagonistic game with some aim points

Many players differential non-coalition game with terminal prize has been considered. The players were using the piecewise program strategies memorizing the game prehistory. The comparative analysis of Pareto-optimal and Nash’s equilibrium situations have been presented. It has been proved that they are not covering each other. The obtained result has been illustrated by one concrete example.