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Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers. firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?

Kendra knight took part in a friendly game of touch football. she had played before and was familiar with football. michael jewett was on her team. in the course of play, michael bumped into kendra and knocked her to the ground. he stepped on her hand, causing injury to a little finger that later required its amputation. she sued michael for damages. he defended on the ground that she had assumed the risk. kendra claimed that assumption of risk could not be raised as a defense because the state legislature had adopted the standard of comparative negligence. what happens if contributory negligence applies? what happens if the defense of comparative negligence applies?

In which of the following games is it clearly the case that the cooperative outcome of the game is good for the two players and bad for society? a. two oil companies own adjacent oil fields over a common pool of oil, and each company decides whether to drill one well or two wells. b. two airlines dominate air travel between city a and city b, and each airline decides whether to charge a "high" airfare or a "low" airfare on flights between those two cities. c. two superpowers decide whether to build new weapons or to disarm. d. in all of the above cases, the cooperative outcome of the game is good for the two players and bad for society