Blanche Carter Has Devised a System for Rating the Males

Essay

Blanche Carter has devised a system for rating the males in her economics class.She cares about their intelligence and their looks.She has ranked each male on a scale of 1 to 5 for intelligence and 1 to 3 for looks.She defines a preference relation, R, as follows: xRy if boy x scores at least as high as boy y in either looks or intelligence.Give an example to show that Blanche's method of determining preferences might not lead to transitive preferences.