Ford and Nissan have each developed a new technology for a hydrogen-powered vehicle, and each is deciding what type of vehicle to introduce with its new technology.Ford is considering one of Wagon or Van.Nissan is considering one of Hatchback, Coupe, or Sedan.

Here is what we know about payoffs to the various combinations of choices:

Payoff for FordPayoff for Nissan

Ford Van, Nissan Hatchback3126

Ford Van, Nissan Coupex34

Ford Van, Nissan Sedan2532

Ford Wagon, Nissan Hatchback2928

Ford Wagon, Nissan Coupe3324

Ford Wagon, Nissan Sedan2730

The x indicates that this payoff value is not yet measured.(Before the game is played, the firms will find out the value of x.)

A.This is a one-shot simultaneous-move (non-cooperative) game.Is there a range of numerical values for x, so that there is exactly one Nash equilibrium (in pure strategies) for this game, for any value x in this range?

If there is, what is this range of numerical values for x?What is the Nash equilibrium?

If there is not, why not?

Explain, and be clear in your explanation about what you are looking at in the game.

B.Return to the initial payoff values, as shown above, including that x is not yet measured.The game (instead) is a one-shot sequential-move (non-cooperative) game, but it is not yet determined which firm will move first.B

Is there a range of numerical values of x (or several ranges of numerical values of x) for which who moves first does matter to the outcome of the game?Explain in what way(s) the value of x matters (or does not matter), and be clear in your explanation about what you are looking at in the game(s).

(In your answer to this question, you can ignore any values of x for which "ties" occur in a sequential game.)