1. What rule of thumb does the book suggest is useful for determining whether randomness is needed in a constant-sum game?

1. In general, how does a player determine the appropriate mix (probabilities) of their pure strategies?

1. If a person is asked to write down what they think represents a "random" sequence of coin tosses, how would the sequence tend to deviate from a likely true random sequence?

1. How can randomized strategies be used to motivate compliance at a lower monitoring cost?

1. The chapter provides an example of a penalty kick situation in soccer, where the goalie practices and improves his skill at saving penalties struck to the natural (right) side. How does this affect his mixture probability of attempting saves on the right side? Why is this the case?