Consider a two$-$player game where the player A chooses $$up$$ or $$down$$ and player B chooses $$left$$ or $$right$$ Their payo

s are as follows: When player A chooses $$up$$ and player B chooses $$left$$ they both get $$3.$ When player A chooses $$up$$ and player B chooses $$right$$ they get $$2($for A$)$ and $$4($for B$).$ When player A chooses $$down$$ and player B chooses $$left$$ they get $$1($for A$)$ and $$6($for B$).$ Finally, when player A chooses $$down$$ and player B chooses $$right$$ they both get $$5.$ The two players decide simultaneously.