Question: Let > = be a weak preference that is complete, reflexive, and transitive. In the class, we defined, based on > = , ( a

Let
>
=
be a weak preference that is complete, reflexive, and transitive. In the
class, we defined, based on
>
=
,
(
a
)
the indifference relation
as: B
1
B
2
if
B
1
>
=
B
2
and B
2
>
=
B
1
; and
(
b
)
the strict preference relation
>
as: B
1
>
B
2
if
B
1
>
=
B
2
and B
2
not
>
=
B
1
.
(
i
)
is > complete, reflexive, and transitive?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

Let be a weak preference that is complete, reflexive, and transitive. In the class, we defined, based on , ( a ) the indifference relation as: B 1 B 2 if B 1 B 2 and B 2 B 1 ; and ( b ) the strict...

Q:

Let > = be a weak preference that is complete, reflexive, and transitive. In the class, we defined, based on > = , ( a ) the indifference relation as: B 1 B 2 if B 1 > = B 2 and B 2 > = B 1 ; and ( b...

Q:

One possible method of determining a social preference relation is the Borda count, also known as rank-order voting. Each voter is asked to rank all of the alternatives. If there are 10 alternatives,...

Q:

Let be a complete, reflexive and transitive preference relation on X. We showed in class that if X is finite, then there is a utility function u that represents . In this question we will see what...

Q:

One possible method of determining a social preference relation is the Borda count, also known as rank-order voting. Each voter is asked to rank all of the alternatives. If there are 10 alternatives,...

Q:

Problem 2 - Relations and Preferences (T marks total, 1 mark for each item) Consider & decision-maker {DM) having to chocse a single deterministic alternative in a finite, non-empty set X. Suppose...

Q:

Task.2. 2) If the price of automobiles were to increase substantially, the demand curve for gasoline would most likely A) shift leftward. B) shift rightward. C) become flatter. D) become steeper. 3)...

Q:

Question one. Chepa's utility function is given by U (x, y) = ln x + 4 ln y. Assume that Chepa has endowments (10, 10) and that Py = 10 throughout the problem. I need help with questions G) and H)...

Q:

Problem 3: (a) Let X be a finite set and be a binary relation on X. Show that if U : X R represents then> must be asymmetric and negatively transitive. (b) Let X be a set and-a binary relation on X....

Q:

A2 (25 points) There are two binary relations S and W defined over the three elements in the set X = {x1, x2, x3). They are given implicitly using two functions u : X - R and v : X - R as follows:...

Q:

An antitrust case launched more than a decade ago sent tremors throughout the academic community. Over the 1989 -91 period, the Department of Justice (DOJ) investigated a number of highly selective...

Q:

Consider the problem: Minimize ex subject to Ax 2 b, x 20. Let x* be an optimal solution. Suppose that A is decomposed into [A] and b is decomposed A into such that Ax* = b and Ax* >b. Show that x*...

Q:

All states impose a general state sales tax, and many areas include an additional focal sales tax. True or False

Q:

Compared with half a century ago, adoption has become _ _ _ _ _ _ _ _ _ common, but it is more open and acceptabl e , so we probably discuss it _ _ _ _ _ _ _ . fill in the blanks more or much less or...

Q:

___ 27. The chance to do a job my own way, free of rules and constraints, is more important to me than security.

Q:

___ 24. I feel successful in life only if I have been able to balance my personal, family, and career requirements.

Q:

___ 25. I would rather leave my organization than accept a rotational assignment that would take me out of my area of expertise.