Introduction to Econometrics 3rd Edition by James Stock, James Stock

Exercise 7

A consumer is given the chance to buy a baseball card for $1, but he declines the trade. If the consumer is now given the baseball card, will he be willing to sell it for $1 Standard consumer theory suggests yes, but behavioral economists have found that "ownership" tends to increase the value of goods to consumers. That is, the consumer may hold out for some amount more than $1 (for example, $1.20) when selling the card, even though he was willing to pay only some amount less than $1 (for example, $0.88) when buying it. Behavioral economists call this phenomenon the "endowment effect." John List investigated the endowment effect in a randomized experiment involving sports memorabilia traders at a sports-card show. Traders were randomly given one of two sports collectibles, say good A or good B, that had approximately equal market value.8 Those receiving good A were then given the option of trading good A for good B with the experimenter; those receiving good B were given the option of trading good B for good A with the experimenter. Data from the experiment and a detailed description can be found on the textbook Web site http: //www.pearsonhighered.cmn/stock_watson/ in the files Sportscards and Sportscards_Description.9
i. Suppose that, absent any endowment effect, all the subjects prefer good A to good B. What fraction of the experiment's subjects would you expect to trade the good that they were given for the other good (Hint: Random assignment means that approximately 50% of the subjects received good A and 50% received good B.)
ii. Suppose that, absent any endowment effect, 50% of the subjects prefer good A to good B, and the other 50% prefer good B to good A. What fraction of the subjects would you expect to trade the good that they were given for the other good
iii. Suppose that, absent any endowment effect, X% of the subjects prefer good A to good B, and the other (100- X )%prefer good B to good A. Show that you would expect 50% of the subjects to trade the good that they were given for the other good.