This is from economicsNASH EQUILIBRIUM

4. (Backward induction/ normal form) Consider the following sequential move game played by three players; Marsj Mercury and Venus. Mars Mars Mercury Venus ('5) List the strategies of each player. (ii) Find the subgame perfect Nash equilibrium. (iii) Present the strategic form of the game and nd all the pure strategy Nash equilibria in the strategic form. (Mars is the row player, Mercury is the column player and Venus is the matrix player.) For each Nash equilibrium in the strategic form that is not subgame perfect in the extensive form, provide a reason why it is not so