I just strated reading game theory. Consider the game * Battle of the Sexes* with the following pay off matrix:
The original mixed startegy Nash equilibrium is the one where Men choose Football 75% of the time and Cinema 25% of the time. For Women, it's the reverse.
So, my question is, if we raise the pay off of men from going to Football when Women choose Football to 9, as shown in the second figure (marked with red): 
Why does women's probability of going to Footabll fall to 10 % from 25% (in the original mixed strategy NE)?( mixed strategy NE from the second figure).