Tell It by Myself…
If in a game, there exists not only Pure-Strategy Nash Equilibrium but also Mixed-Strategy Nash Equilibrium, this means the would be a Multiple Equilibria. In fact, it usually appears in the Nash Equilibrium test questions.
Battle of Sexes
| 2,1 | 0,0 |
|---|---|
| 0,0 | 1,2 |
There would be in this case, where 2 Pure-Strategy Nash Equilibrium and 1 Mixed-Strategy Nash Equilibrium (notice that there could be more than one Pure-Strategy Nash Equilibrium)
We set unknown numbers to find out the Best-response function ,
