Necessary and sufficient conditions of never-best response are given based on the actions of the participants in finite strategic game and the conclusion of weakly mixed non-dominated strategy is drawn.

The algorithm makes the mapping of the search space and objective function of knapsack problem to the strategy profile space and utility function of game respectively, and helps to achieve the optimization objective through the best response dynamics of rational game agents and the perturb recover process of equilibrium states.

By applying the best response dynamics in the game theory,the process of arms race was analyzed.

This paper introduces the hawk versus dove and the definition and features of the best response dynamics, and discusses the mechanism of international conflicts with two kinds of methods.

The non-linear optimum inversion technique is based on the seismic information and the constraints from structural model and logging information and the technique can extract optimum prediction of the lateral variety of reservoir.