Game and Nash equilibrium X=(x1,x2 X=(x,x2…,x2)约納什 2015.524 X =(n.x. X.1X U(X=U (i,x_i) Individual i,'s utility function v,U1(x2x)≥U1(x2x)2x∈X,xX Ⅹ> A Nash equilibrium If the inequality hold strict, the Nash equilibrium is a strict Nash equilibrium(SNe)Game and Nash equilibrium * * ' * * * ' * , ( , ) ( , ), , i i i i i i i i     i U x x U x x x X x X   A Nash equilibrium 1 2 ( , , ) X x x x  n 1 2 1 1 ( , , , , ) i i i n x x x x x x     U X U x x i i i i ( ) ( , )   Individual i’s utility function * * * * 1 2 ( , , ) X x x x  n * X If the inequality hold strict, the Nash equilibrium is a strict Nash equilibrium (SNE). 约翰.纳什-2015.5.24