TOPICS, SKILLS, AND QUESTIONS ON FEASIBLE CHOICES: TOPICS: Rational choice making Budget constraints and budget sets Market rate of substitution Importance of relative prices Multiple goods and composite commodities Kinked budget constraints Theorems about budget sets and choice making: Choices don't change if budget sets don't change. At least as well off if budget set is at least as big. At least as well off if old choice plus more. Revealed preference, WARP and SARP. SKILLS: Drawing basic budget constraints/sets. Shifting basic budget constraints/sets with changes in income and prices. Deriving more complicated budget constraints. Comparing two budget sets. Finding revealed preference violations. QUESTIONS: What are the two fundamental elements of rational choice making? What does the slope of the budget constraint tell you? (two important answers) The slope of the budget constraint is given by -P_x/P_y, where P_x is the price of the good on the x-axis, and P_y is the price of the good on the y-axis. Intuitively, how does this give us the tradeoff between the goods? Suppose deflation occurs and all prices and incomes decrease by 20%, what happens to the budget set? Why is it that only relative prices are important? Draw the budget set for a commodity that after you buy a certain amount, you must pay a sales tax of t percent. (Hint: under the sales tax, the price will be (1+t)P_f for each unit of the good.) Suppose that a school voucher program is implemented in which everyone must pay P_e for public education, but if you want to send your child to a private school, you can get a voucher for 50% of what would have been spent on educating your child in the public system. What does the budget set look like in this case? Does general inflation make people better off, worse off, or leave them as well off as they were before the inflation? Why? Given your answer to the previous question, why is there so much concern over inflation? Suppose the price of a good decreases, what can you say about the happiness of a consumer? Why might it (from a rational choice perspective) be better to give the cash equivalent rather than a gift to a friend? Rank the likely welfare of consumers under the following three programs: a standard food stamp program, a standard food stamp program where $1 of food stamps can be illegally sold for $0.60, and a program where food stamps can be redeemed at full face value for cash. Assume two goods each costing $1, and a consumer with an income of $100 and a consumer who purchases 50 of each good under these conditions. Suppose that the price of the first good increases to $2 and the second to $5. The government is concerned about these price increases, so it decides to give the consumer a payment so that she can purchase her original bundle. How big of a payment will be required? What can you say about the consumer's welfare under this program relative to the original situation?