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# Analysis of a payoff matrix for a dominant strategy

The Candle Corporation and the Wick Company are the only producers of a very sophisticated type of flammable material. They each can engage in either a high or low level of advertising in trade journals. The payoff matrix is as follows:

Wick Company
Low Level High Level
Candle
Corp. Low Level Wick - \$13 million Wick - \$12 million
Candle - \$12 million Candle - \$11 million

High Level Wick - \$12 million Wick - \$11 million
Candle - \$13 million Candle - \$12 million

a. Will Candle engage in a high or a low level of advertising in trade journals?

b. Will Wick engage in a high or a low level of advertising in trade journals?

c. Is there a dominant strategy for each firm?

#### Solution Preview

To solve through this type of question you begin by seeing if each player has a dominant strategy.

First, suppose Wick chooses Low...it follows that Candle Corps Best response is to ...

#### Solution Summary

Given a payoff matrix this solution shows how to solve through and determine if each firm has a dominant strategy and what that strategy is.

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