STUDY GUIDE

Chapter 11: GAME THEORY AND COMPETITIVE STRATEGY

1. Concepts of game theory

2. Examples of strategies

3. Competitive strategies

Reading: To p. 448

Problems: 3-8

WHAT YOU SHOULD BE ABLE TO DO

1. Continue with game theory from Chapter 10 with special emphasis on dominant/dominated strategies, the Prisoner's Dilemma, and the Nash equilibrium.

2. Deal with zero-sum games.

EXAMPLES

1.

Firm B
 
X
Y
R
12,14
16,10
Firm A S
7,9
19,10
T
20,6
8,15

a. Does either firm have a dominant strategy?

b. Does either firm have a dominated strategy?

c. Explain why (R,X) is not an equilibrium.

d. Find the equilibrium. Explain.

2. The following is a payoff matrix for a zero sum game.

Firm B
 
X
Y
Z
R
70
-10
-30
Firm A S
-50
60
-25
T
100
80
-20

a. If A selects S and B selects Y, A earns ____ and B earns _____.

b. Does either firm have a dominant strategy?

c. Determine the equilibrium.

d. Suppose A adopts a mini-max strategy, what will it choose?

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