5. If Alice can drink all the soda she wants for free, how many units will she consume?
(A)She would consume an infinite amount of soda if it is free.
(B)3 units
(C)5 units
(D)7 units
(E) None of the above.

1.Suppose Alice's utility function is U = , where U is the utility level from owning wealth W. Alice decides to invest in a business which can yield $6,400 with probability 1/5, and $3600 with probability 4/5. What is Alice's expected utility of this investment? (A) 80 (B) 76 (C) 64 (D) 60 (E) None of the above.

2.Alice currently has $50 and is considering investing all of it in an investment that has a 50% chance of being worth $100 and a 50% chance of being worth $0. Alice will? (A)definitely make the investment because the expected utility of the investment exceeds the utility of her $50. (B)definitely not make the investment because the expected utility of the investment is less than the utility of her $50. (C)definitely make the investment because she is indifferent between having SSO and having an investment with an expected value of $50. (D)definitely not make the investment because she is indifferent between having $50 and having an investment with an expected value of $50. (E) None of the above.

3. Alice currently has $100 of wealth, but there is a 50% chance that it could all be stolen. In this situation, Alice's expected utility of receiving S0 50% of the time and receiving $100 50% of the time is ___________.(A)P (B)Q (C)R (D)S (E) None of the above.

4.Alice currently has $100 of wealth, but there is a 50% chance that it could all be stolen. An insurance company offers to reimburse Alice for all of her loss if the money is stolen. What is the most that Alice would pay for such a policy? (A)$30 (B)$50 (C)$70 (D) None of the above.

6.Suppose the price of Soda is $6 per unit and the price of Chocolate is $3 per unit, and Alice has $30 to spend on these two goods. If Alice maximizes her utility, she should buy X units of Soda and Y units of Chocolate. X equals? (A)2 (B)3 (C)4 (D)5 (E) None of the above.

7.Suppose the price of Soda is $6 per unit and the price of Chocolate is $3 per unit, and Alice has $30 to spend on these two goods. If Alice maximizes her utility, she should buy X units of Soda and Y units of Chocolate. Y equals? (A)3 (B)4 (C)5 (D)6 (E) None of the above.

9. Suppose UPS and FedEx plan to improve the on-time delivery rate for the peak period, and the expected payoff matrix for the 2020 holiday season is changed as the following table. Choose all of the Nash equilibrium of this game.(1) Both UPS and FedEx charge $5 (2) Both UPS and FedEx charge $5.5 (3) UPS charges $5 and FedEx charges $5.5 (4) UPS charges $5.5 and FedEx charges $5 (5) Both UPS and FedEx play a mixed strategy, where each firm charges $5 with a probability of 2/3 and charges $5.5 with a probability of 1/3 (A) Only (I) (B) Only (2) (C) (3) and (4) (D) (3),(4)& (5)

8. According to a firm analyzing shipping data, both FedEx and UPS' on-time delivery rate dropped during the 20[9 holiday season. FedEx's on-time delivery percentage from Black Friday to New Year's Eve was 95%, and UPS' on-time delivery percentage was 97%. Based on this information, what is the probability that if a customer ships ten packages with FedEx during the 2019 holiday season, all of the ten packages arrive on time? (A) 60% (B) 75% (C) 80% (D) 95%

7. According to an article in the Wall Street Journal, neither UPS nor FedEx raised rates during the holiday season of 2014, but both firms did raise them during the 2016 holiday season. Which of the following statements is correct? (A) In 2014, neither firm raised rates during the holiday season because they were at the equilibrium of an infinite repeated game.(B) In 2016, both firms raised rates because they were at the equilibrium of a finite repeated game. (C) In 2016, both firms raised rates because they were competing to attract additional customers. (D) UPS and PedEx set output and price over and over again, continually observing their competitors' behavior and adjusting their own accordingly. This allows them to develop reputations from which trust can arise. As a result, oligopolistic coordination and coopcration can sometimes prevail.

6. Suppose UPS and FedEx face the same payoff matrix every year during the holiday season. That is, the game is repeated. Which of the following statements is correct?(A) UPS's choices are not influenced by FedEx's actions. (B) UPS and FedEx cooperate and achieve the collusive Nash equilibrium for all rounds. (C) UPS and FedEx may cooperate to both charge additional surcharges if the game is played indefinitely. (D) If the game is repcated a finite number of times (T), UPS and FedEx can cooperate until the (T-1) round. At the last round, the two firms will switch to their dominant strategy.

110年 - 110 國立臺灣大學_碩士班招生考試_國際企業研究所甲、乙組:經濟學(F)#101417

109年 - 109 國立臺灣大學_碩士班招生考試_國際企業研究所甲、乙組:經濟學(F)#106063