I encountered this question in Microeconomics by Pindyck and Rubinfeld.
The question says that "Suppose Jones and Smith have each decided to allocate $1000 per year to an entertainment budget in the form of hockey games or rock concerts. They both like hockey games and rock concerts and will choose to consume positive quantities of both goods. However, they differ substantially in their preferences for these two forms of entertainment. Jones prefers hockey games to rock concerts, while Smith prefers rock concerts to hockey games."
We are asked to draw indifference curves for both of them.
A solution manual showed that the indifference curves should be convex to the origin with different degrees of steepness. However, I believe that the curves should be concave to the origin as convex curves show a tendency to diversify one's bundle, which is certainly not the case here. Also, convex curves at some point will say that one of them is ready to leave more of what he prefers more to get just $1$ unit of what he prefers less. That too seems a contradiction to me. I am of the belief that here the indifference curves should be concave to the origin with different degrees of steepness for the both the consumers.
Kindly help me reach the right answer.