In the Basu-Mitra result, when you use the term “Pareto”, do you mean strong or weak?
I found the section on possibility results confusing.
In this sentence you appear to use X and Y to refer to properties: “Basically, we can show that if < were a “reasonable” preference relation that had property X then it must also have property Y. (of course, we cannot show that < is reasonable.)”
But here you appear to use X and Y to refer to utility vectors: “For example, say that X<Y if both X and Y are finite and the total utility of X is less than that of Y.”
Did you duplicate variables, or am I misreading this?
General note: if you numbered your headings and subheadings, e.g. (1, 1.1, 1.1.1), it would make it easier to refer back to them in comments.
In the Basu-Mitra result, when you use the term “Pareto”, do you mean strong or weak?
I found the section on possibility results confusing.
In this sentence you appear to use X and Y to refer to properties: “Basically, we can show that if < were a “reasonable” preference relation that had property X then it must also have property Y. (of course, we cannot show that < is reasonable.)”
But here you appear to use X and Y to refer to utility vectors: “For example, say that X<Y if both X and Y are finite and the total utility of X is less than that of Y.”
Did you duplicate variables, or am I misreading this?
General note: if you numbered your headings and subheadings, e.g. (1, 1.1, 1.1.1), it would make it easier to refer back to them in comments.
Updated, thanks!