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Microsoft (X-Box) and Sony (Playstation) are each planning to introduce one new video game into the market. Each is considering three different kinds of games:

Microsoft (X-Box) and Sony (Playstation) are each planning to introduce one new video game into the market. Each is considering three different kinds of games: warfare, street races, or sports. Profits are shown in the boxes (Sony's profit first) in millions of dollars.

Microsoft

Warfare

Street Races

Sports

Warfare

1, 2

2, 3

4, 7

Sony

Street Races

8, 8

-3, -3

2, 10

Sports

5, 4

5, 1

-7, -7

  1. Are there any dominant strategies? What is the Nash equilibrium?
  2. If this is a sequential game, where Sony moves first, what is the Nash equilibrium? Show a game tree and solve.

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