Kalai--Smorodinsky solution

In this paper, we propose a new formulation of Nash games for solving a general multi-objectives optimization problems.  The objective of this approach is to split the optimization variables, allowing us to determine numerically the strategies between two players.  The first player minimizes his function cost using the variables of the first table P and the second player, using the second table Q.  The original contribution of this work concerns the construction of the two tables of allocations that lead to a Nash equilibrium on the Pareto front.  The second proposition of this paper is to