State the implications of the weak axiom of revealed preference (WARP) for consumer choice. The following table indicates a consumer's observed choices for two goods, 21 and 12, under three sets of prices: period P1 P2 1 3. 3 2 3. 1 2 3 3. 4. 3 1 1 Do these choices satisfy WARP? Explain why or why not.
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- The Foundations of Behavioral Economic Analysis Consider the following property of choice correspondence : Show that maximization of complete and transitive preference satisfies β-axiom. I need this ASAPEmma 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.A student finds that his purchase of drawing pencils for art class is directly related to the amount of art paper he buys. According to behavioral economics, these art supplies would be classified as A. complements. B. independents. C. alternatives. D. substitutes.
- ***PLEASE NOTE: QUESTION HAS TWO PARTS REQUIRING ANSWER*** Q: Johnny Football has a utility function of the form ? = √?. Johnny is beginning his senior year of college football. If he is not seriously injured, he will receive a $1,000,000 contract for playing professional football. If any injury ends his football career, he will take a job as a refuse removal facilitator in his hometown that pays $10,000. There is a 10% chance that Johnny will be injured badly enough to end his career. a. What is Johnny’s expected utility? b. How much would Johnny be willing to pay to remove the financial riskhe faces? That is, what $p would he pay for a $1,000,000 insurancepolicy so that he would have $1,000,000-$p even if he had a seriousinjury? Assume he wouldn’t work for $10,000 if he had the insuranceand he was injured. Hint: You should set his utility with certainty(U($1,000,000-$p)) equal to his expected utility with risk (found inpart a) and solve for p.Based on several observations, people at older ages tend to buy more luxurious products than when they were younger. Does this mean that diminishing marginal utility of money declines as people age?An economics professor finds that he strictly prefers a $10 bottle of wine over an $8 bottle, and a $12 bottle over a $10 bottle, and so on, but an $8 bottle over a $200 bottle. Explain why this makes him irrational according to a behavioral economics theory.
- Which of the following behaviors contradict the standard discounted utility model? (A) hyperbolic discounting; (B) context effffects; (C) preference for commitments; (D) all of the above.What is loss aversion? Explain how the topic is related to behavioral economics? Give at least two examples.It 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.
- Explain how revealed preferences indicate which goods or activities give aperson the most utility.A young consumer has to decide how to spend his spare time. He can either watch movies x or play online video games y. Each round of the game cost 20 and each movie cost 20. He has 200 dollars to spend each week. In addition, he has time constraint. He can spend no more than 20 hours for entertainment each week. A movie last 2 hours and playing a game takes about 1 hour. His utility is given by √xy. Use the Kuhn-Tucker condition to find his optimal choice. (Assume that x and y can take any value, not necessarily integers.) Does the solution satisfy the necessary and sufficient condition for a maximum?Suppose Katie buys the bundle (20,9) from the budget line 3x_1 + 5x_2 = 105. When the price of good 1 changes to p1 = 6 and the price of good 2 remains the same, she buys the bundle (5,15). On a later date when p1 = 5 and p2 = 4, by observing Katie’s choices we can say that the Weak Axiom of Revealed Preference (WARP) is violated if a) She buys the bundle (10,15). b) She buys the bundle (15,10) c) She buys the bundle (23,6) d) She buys the bundle (25,25). e) None of the above choices violates WARP.