Using the lotteries: L1 = [Amarone : 0.55, C'abernet : 0.45] L2 = [Barolo : 1]. L3 = [C'abernet : 1] L4 = [L1 : 0.9, L3 : 0.1] %3D L5 = [L2 : 0.9, L3 : 0.1] Explain why Lauren's preferences violations the Independence Axiom.
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- Bart and Lisa are both optimizing consumers in the market for shirts and hats, where they pay $100 for a shirt and $50 for a hat. Bart buys 8 shirts and 4 hats, while Lisa buys 6 shirts and 12 hats. From this information, ignoring the minus sign, we can infer that Bart's marginal rate of substiution is _________ hats per shirt, while Lisa's is __________ hat's per shirtIt is given that a typical consumer has a well-behaved preference structure for his consumption bundle, which includes only two goods, A and B. Further, assume that commodity A is normal and commodity B is Giffen. By keeping commodity A on the x-axis and commodity B on the y-axis, you are required to show the price decomposition for commodity B when $PB decreases exogenously relative to $PA.Consider a two-person exchange economy in which initial endowments for both individuals are such that (e1 = e1) = (1,1). Suppose the two individuals have the following indirect utility functions: V1 (x, y) = ln M1 - a ln Px - (1-a) ln Py V2 (x, y) = ln M2 -b ln Px - (1-b) ln Py Where Mi is the income level of person i and Px and Py are the prices for goods x and goods y, respectively. a) Calculate the market clearing prices.
- A typical consumer has a well-behaved preference structure for his consumption bundle which includes only two goods, A and B. assume that commodity A is normal and commodity B is inferior. By keeping commodity A on the x-axis and commodity B on the y-axis you are required to show the price decomposition for commodity B when $PB increases exogenously relative to $PA. Please Answer the question by using well labelled diagramsEmma has a utility function U(x1, x2, x3) = log x1 + 0.8 log x2 + 0.72 log x3 over her incomes x1, x2, x3 in the next three years. This is an example of (A) expected value; (B) quasi-hyperbolic utility function; (C) standard discounted utility; (D) none of the above. Emma’s preferences can exhibit which of the following behavioral patterns? (A) preference for flflexibility; (B) context effffects; (C) time inconsistency; (D) intransitivity.An individual is faced with a choice of buying housing in one of two markets; the private market where he may buy any amount of housing he pleases at the going price, and the public housing market where he will be offered, on a take-it-or-leave-it-basis, a particular amount of housing at a price lower than that which he would pay for it on the private market. Will he necessarily choose the public housing? If so, may we conclude that he will consume more housing than he would have purchased had he been forced to buy it on the private market? (With thanks to Dr Leslie Rosenthal.)
- Refer to Figure 21-22. When the price of X is $80, the price of Y is $20, and the consumer’s income is $160, the consumer’s optimal choice is D. Then the price of X decreases to $20. The income effect can be illustrated as the movement from Group of answer choices D to E. D to C. C to E. E to D.. Show that Cobb-Douglas preferences are homothetic preferencesConsider an individual with the following utility function: Derive step-by-step both corresponding Hicksian demand functions depending on the different prices (P₁, P2) and a fixed utility level u. The equation given In picture.do This in 10 minutes.
- Answer both question (a) and (b) below. (a) State theWeak Axiom of Revealed Preference (WARP). (b) In a two-good model, suppose a consumer always chooses the midpoint of the budget line given any (p1; p2; I), does the demand function satisfy WARP? Why? (HINT: Graphs can be helpful to answer the question.)Give an example of monotonic preferenceSuppose that consumer I has the utility function u(x,y) = x + 2y and consumer II has the utility function u(x,y) = min{x, 2y}. Consumer I initially has 12 units of y and zero units of x, while consumer II has 12 units of x and zero units of y. It is correct to state that, in competitive equilibrium, the agents' consumption basket will be: