Suppose Dmitri and Frances are playing a game in which both must simultaneously choose the action Left or Right. The payoff matrix that follows shows the payoff each person will earn as a function of both of their choices. For example, the lower-right cell shows that if Dmitri chooses Right and Frances chooses Right, Dmitri will receive a payoff of 7 and Frances will receive a payoff of 4.Frances FrancesLeft RightDmitri Left 6,3 6,4Dmitri Right 3,3 7,41. The only dominant strategy in this game is for to choose .2. The outcome reflecting the unique Nash equilibrium in this game is as follows:
Dmitri chooses and Frances chooses .

Explanation:

Suppose Dmitri and Frances are playing a game in which both must simultaneously choose the action Left or Right. The payoff matrix that follows shows the payoff each person will earn as a function of both of their choices. For example, the lower-right cell shows that if Dmitri chooses Right and Frances chooses Right, Dmitri will receive a payoff of 7 and Frances will receive a payoff of 4.Frances FrancesLeft RightDmitri Left 6,3 6,4Dmitri Right 3,3 7,41.

The only dominant strategy in this game is forFrances / Dmitrito chooseRight/ left .The outcome reflecting the unique Nash equilibrium in this game is as follows: Dmitri choosesRight/Left and Frances choosesRight/ Left.

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