Question $2$ Utility maximization is not the only choice procedure that are consistent with $.$

There are also other choice procedures that will satisfy these conditions and so are indis$-$

tinguishable from rational choice. Consider the following decision making procedures which

describe how someone might behave in each choice set. Show whether or not they will result

in choices that satisfy

$1.$ Satis$$cing: A decision maker $($DM$)$ is choosing between books from a set B$.$ They

have a utility function u : B $!$ R$,$ and a $$threshold utility$$level u$.$ In any choice set,

they search through the books alphabetically by title, and choose the $$rst book that has

utility level u that is equal to or above u$.$ If they have not found any such book by the

time they reach the end of the choice set, they will choose the book with the highest

utility.

$2.$ Choose the Middle: A DM assigns a utility number to each alternative and chooses

the median alternative $($if there are an even number of alternatives they choose the

option just above the median$)$

$1$

$3.$ Elimination By Aspects: When choosing between puppies, the DM $$rst of all disre$-$

gards the one with the loudest bark, then chooses the puppy with the waggiest tail from

the remainder.

$4.$ Choose the Worst: The decision maker ranks the options from best to worst, then

choses the worst