Suppose you asked James whether he would like a hamburger or a hotdog for lunch and he said that he wanted a hot dog. Five hours later you ask him what he would like for dinner, a hamburger or a hot dog. James answers "A hamburger." Do James’s preferences for hot dogs versus hamburgers obey the conditions of rationality--complete transitive and reflective? Why or why not?
James’s preferences for hot dogs versus hamburgers does not obey the conditions of rationality--complete transitive and reflective.
Rationality refers to the state of being rational which means when a person is agreeable to reason to a particular thing. Rationality means conforming to the belief that one has.
Completeness means that an entity can rank the options that they have.
In this case, since James was asked whether he would like either a hamburger or a hotdog and he said that he wanted a hotdog, but since he said that he would like to eat hamburger five hours later, then this means that he isn't consistent with his choices, then the condition of rationality--complete transitive and reflective is not met.