Question

Suppose Musashi and Rina 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 Musashi chooses Right and Rina chooses Right, Musashi will receive a payoff of 4 and Rina will receive a payoff of 4.

Rina Rina
Left Right
Musashi Left 4, 3 6,1
Musashi Right 7,6 4,4

The only dominant strategy in this game is for _____ to choose _____.

The outcome reflecting the unique Nash equilibrium in this game is as follows: Musashi chooses _____and Rina chooses _____.

Answer 1

Answer:

a) Dominant strategy is for Rina to choose Right.

b) Musashi chooses left and Rina chooses right

Explanation:

As per the data given in the question,

a).

A winning strategy is the tactic a player selects regardless of the tactic other player selects.

When Rina selects left, Musashi selects right because  (7>4)

When Rina selects right, Musashi selects left because  (6>4)

When Musashi selects left, Rina selects right because (6>1)

When Musashi selects left, Rina selects right because  (7>6)

So only dominant strategy is for Rina to choose Right

b)

In a Nash equilibrium, the players decide their strategies taking in consideration other strategy.

Hence, Musashi chooses left and Rina chooses right, (payoff: 6,1)