plz answer me in detail

4. There are two passengers who want to go on a train. The best seat gives the passengers a satisfaction of 3, the second best seat a satisfaction of 2. To get to these seats, they have to go through a small door, that they cannot pass at the same time. The passengers do not like to wait. Hence, the payoffs are as follows: LU?) : 3 t for the person that goes rst in period t and gets the best seat and F(t) : 2 t for the other person. If, in period t they both go at the same time they will bump into each other, therefore, the payoff is B(t) = 1 t. There is no discounting. Give a symmetric mixed-strategy Nash equilibrium. [5 points]