It’s possible to tell whether a person has utility u1 (x) = ln x or u2 (x) = ln (2x) (T/F)
We can know the preferences of a person and can estimate the shape of indifference curve by assuming properties of IC such as convexity, monotonic,rational etc.but if we observe u1(x)=ln x and U2(x)= ln(2x) = ln2+lnx
Hence properties expressed by both utility functions are same and distinguishing becomes impossible
Hence False
It’s possible to tell whether a person has utility u1 (x) = ln x or u2...
(1) Ann has vNM utility u1 (x) = x, Bob has utility u2 (x) = √ x and Carl has utility u3 (x) = x 3 . Who is risk neutral, risk averse and risk loving? (2) Consider the lottery P again. Find the dollar amount x such that each person is indifferent between the lottery P and $x (x is the certainty equivalent of P) (3) Calculate the Arrow-Pratt coefficients for everyone. How do they compare? Does this agree...
In the circuit shown below in Figure #2, Switch U2 is normally
closed and Switch U1 is normally open. At t= 0 seconds switch U1
closes. After 100 milli-seconds have passed, switch U2 opens.
Assume the inductor has zero current at t=0 - (before switch U1
closes). Determine the following:
a) Rth and τ when switch U1 closes.
b) Rth and τ when switch U2 opens.
c) the equation for the current through the inductor during the
charge cycle.
d)...
Utility Function: U = ln (x) + ln (z) Budget Constraint: 120 = 2x + 3z (a) Find the optimal values of x and z (b) Explain in words the idea of a compensating variation for the case where the budget constraint changed to 120 = 2x + 5z
Consider the following 3 utility functions with good x and good y: ? ?(?, ?) = (?^2)*sqrt(?), ? ?(?, ?) = 2? − (1/2)?, ? ? (?, ?) = 4 ln ? + ln ? a. Find Marginal Utility (MUx and MUy) for each these utility functions. b. Is assumption that more is better satisfied for both goods in all of these utility functions? If not, specify for which function(s) and for which good(s) it is not satisfied. c. Does...
Consider the utility function U(x,y) = 3x+y, with MUx=3 and MUy=1 e) On a graph with x on the horizontal axis and y on the vertical axis, draw a typical indifference curve (it is not exactly to scale, but it needs to reflect accurately whether there is a diminishing MRS x,y). Also, indicate on your graph whether the indifference curve will intersect either or both exes. label the curve U1. f) on the same graph draw a second indifference curve...
Utility Function: U = ln (x) + ln (z) Budget Constraint: 120 = 2x + 3z (a) Find the optimal values of x and z (b) Explain in words the idea of a compensating variation for the case where the budget constraint changed to 120 = 2x + 5z Problem 4 (a) Derive the demand functions for the utility function (b) Let a = 2, b = 5, px = 1, pz = 3, and Y = 75. Find the...
2) (2 pt) For what values of beta do the utility functions ui(x, y) and u2(, y) represent the same demand a) ui (z,v)-1 + z + y ard u2(z, y) = (1 +z + y)β b) u(z,)y5 and u2(r, y)Bln(x)(1 B)ln()
A person with the following utility function, u(x) = ln(x) faces a world where with probability 0.1 will suffer of identity theft which will reduce their wealth from $250000 to $100000. This means that we can write: E{u(.)] = 0.91n(x) +0.1ln(y) where x would be the wealth under no identity theft and y the wealth under identity theft. This means that the marginal utilities are: MU 0.9, MUy = 0.1 Using this information answer the following questions 1) What is...
Consider the utility function U(x,y) = 3x+y, with MUx=3 and MUy=1 a) Is the assumption that more is better satisfied for both goods b) Does the marginal utility of x diminish, remain constant, or increase as the consumer buys more x? Explain. c)What is MRS x,y? d) Is MRS x,y diminishing, constant, or increasing as the consumer substitutes x for y along an indifference curve? e) On a graph with x on the horizontal axis and y on the vertical...
Consider the utility function U(x,y) = 3x+y, with MUx=3 and MUy=1 a) Is the assumption that more is better satisfied for both goods b) Does the marginal utility of x diminish, remain constant, or increase as the consumer buys more x? Explain. c)What is MRS x,y? d) Is MRS x,y diminishing, constant, or increasing as the consumer substitutes x for y along an indifference curve? e) On a graph with x on the horizontal axis and y on the vertical...