3. suppose two merchants have to choose a location along the straight road. they may choose any point in {1, , n) .assume there is exactly one customer at each of these points and a customer will always go to the nearest merchant. if the two merchants are equidistant to a customer then they share that customer, that is, 1 2 the customer goes to each store. for example, if n 11 and if player i chooses location 3 and player il chooses location 8, then the payoff to i is 5 and the payoff to l is 6. (a) suppose n = 5 . find the bimatrix and find the nash equilibrium. (b) what do you think is the nash equilibrium in general if n odd integer. 2 k+ 1,that is, n is an