In this game the only equilibrium is a Nash equilibrium in mixed strategies in which each player plays each strategy with equal probability. You can check this by making sure that they yield equal expected payoffs in this case. The expected payoffs for each for the US firm are:
E(Style-1) = .5 x 20 + .5 x 5 = 2.5 + 10 = 12.5
E(Style-2) = .5 x 5 + .5 x 20 = 10 + 2.5 = 12.5

   Since the expected payoffs are the same for the US firm for either strategy it will use them with equal probability. You can easily check to see that this is true for the German firm as well, thus we have a Nash equilibrium in mixed strategies.

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