Suppose yakov and ana are playing a game in which both must simultaneously choose the action left or right. the payoff matrix that follows shows the payoff each person will earn as a function of both of their choices. for example, the lower-right cell shows that if yakov chooses right and ana chooses right, yakov will receive a payoff of 8.

ana

left right

yakov left 8,5 8,7

right 3,6 9,8

a. the only dominant strategy in this game is for to choose

b. the outcome reflecting the unique nash equilibrium in this game is as follows: yakov chooses and ana chooses

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?

Rachel died in 2014 and her executor is finalizing her estate tax return. the executor has determined that rachel’s adjusted gross estate is $10,120,000 and that her estate is entitled to a charitable deduction in the amount of $500,000. using 2014 rates, calculate the estate tax liability for rachel’s estate.

12. to produce a textured purée, you would use a/an a. food processor. b. wide-mesh sieve. c. immersion blender d. food mill.