For each of the following preferences, indicate whether they arecom- plete, and

Question

For each of the following preferences, indicate whether they arecom-
plete, and whether they are transitive.
(a) Among his many friends, professor B weakly prefers friend xto
friend y if and only if x is at least as old as y.
(b) Among his many friends, professor B weakly prefers friend xto
friend y if and only if x is at least 2 inches taller than y.
(c) Michigan's football coach weakly prefers player x to player yif
and only if x is at least as heavy as y, and, also, x can run40
yards at least as fast as y.
(d) Michigan's basketball coach weakly prefers player x to player yif
x is at least as tall as y. He also weakly prefers player x toplayer
player y if x can run 40 yards at least as fast as y.

Explanation / Answer

http://en.wikipedia.org/wiki/Preference I will give this ashot I will give this ashot (a) Among his many friends, professor B weakly prefers friendx to
friend y if and only if x is at least as old as y. Complete
(b) Among his many friends, professor B weakly prefers friend xto
friend y if and only if x is at least 2 inches taller than y. Complete
(c) Michigan's football coach weakly prefers player x to player yif
and only if x is at least as heavy as y, and, also, x can run40
yards at least as fast as y. Transitive
(d) Michigan's basketball coach weakly prefers player x to player yif
x is at least as tall as y. He also weakly prefers player x toplayer
player y if x can run 40 yards at least as fast as y.
Transitive

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