Question 1: John Tierney wrote this in his August 30 column in the New York Times: "Judgment Day has arrived in California, but not exactly as prophesied. The ones sitting on the right-hand side are the sinners. They're stuck in bumper-to-bumper traffic while the righteous fly past them in the far left lanes. Those freeway lanes used to be reserved for car pools, but they've just been opened to a new group: those of us virtuous enough to drive the right hybrids. I'm not a good enough person yet to own a hybrid, but I've been passing for one. I rented a Toyota Prius for the pleasure of cruising the car pool lanes and parking free at meters, another perk available here in Los Angeles. I've enjoyed it all, especially the envious looks from guys in S.U.V.'s, and I can understand why hybrid drivers in other states and cities are clamoring for similar privileges. But even if these new privileges put more fuel-efficient cars on the road, I'm afraid the net effect will be dirtier air and more gasoline consumption. The promoters of hybrids are committing the sin identified by the ecologist Garrett Hardin in ''The Tragedy of the Commons,'' the 1968 essay providing one of the foundations of environmentalism." 1.a) Is this a tragedy of the commons? 1.b) Why does Tierney conclude that allowing hybrids in the HOV lanes will increase pollution and gas consumption? 1.c) Do you agree with his conclusions? Why or why not? Question 2: Consider a simple TFT protocol to regulate storage exchanges: If A wants to store a MB on B then B can store a MB on A. A and B can query one another to ensure that their files are being stored faithfully. If A fails a query, B will discard its files, and vice-versa. 2.a) What problem could arise if you built a backup system with this protocol? 2.b) How would you fix the protocol? Discuss the pros and cons of your solution. Question 3: Imagine an Internet recommender system, such as Amazon's, which generates recommendations of the form "if you liked X, you might like Y." You can model this service as a peer-to-peer system in which customers share their experiences with one another through the retailer. First, assume that the retailer faithfully reports what the customers tell it about their experience. 3.a) Describe a situation where it is in users interest to be truthful about their experience. Explain why. 3.b) Describe a situation where it is in users interest to lie about their true experience. Explain why. It has been observed that firms with recommendation services have slightly higher prices for the same good than those without. This means that firms are able to extract a premium from customers to decrease their level of uncertainty when shopping. Given that a recommender service is valuable enough to customers that they are willing to pay for it, consider the incentives of the retailer. 3.c) Describe a situation where it is in the retailer's interest to faithfully retell what other customers have said. 3.d) Describe a situation where it is in the retailer's interest to lie about what other customers have said. 3.e) Does the price that the retailer is able to extract affect the likelihood of 3.c or 3.d?