1) Bargaining Adam has a car in good condition that he uses daily and that he values at 4000$. Blair values the same car at 4300$. Blair has 5000$ to spend. Adam has received an offer for 3500$ from a third party. a) What are the threat points for Adam and Blair? What is the surplus they could get from cooperating? What is the range of prices for the sale of the car that can support that cooperative outcome? b) Now suppose that the offer from the third party is 4200$. What are the new threat points? What is the new surplus of cooperation between Adam and Blair? c) Finally, suppose that the seller of a car has to pay a tax of 200$ and the buyer of a car has to pay registration fee of 150$. There is no offer from a third party. What are the threat points? What is the new surplus from cooperation? What is the range of prices that

1) Bargaining Adam has a car in good condition that he uses daily and that he values at 4000$. Blair values the same car at 4300$. Blair has 5000$ to spend. Adam has received an offer for 3500$ from a third party. a) What are the threat points for Adam and Blair? What is the surplus they could get from cooperating? What is the range of prices for the sale of the car that can support that cooperative outcome? b) Now suppose that the offer from the third party is 4200$. What are the new threat points? What is the new surplus of cooperation between Adam and Blair? c) Finally, suppose that the seller of a car has to pay a tax of 200$ and the buyer of a car has to pay registration fee of 150$. There is no offer from a third party. What are the threat points? What is the new surplus from cooperation? What is the range of prices that

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Q3. Two ice cream trucks operate on a beach and play a simultaneous pricing game. If one of them prices low and the other high it gets all the customers and a pay off of 12 while the other gets zero. If both price high each gets 6, and if both price low each get 5. The best strategy is for both to price high. True/False/Uncertain. Explain.
Return to the game between Monica and Nancy in Exercise U10 in Chapter 5. Assume that Monica and Nancy choose their effort levels sequentially instead of simultaneously. Monica commits to her choice of effort level first. On observing this decision, Nancy commits to her own effort level. What is the subgame - perfect equilibrium of the game where the joint profits are 5m + 4n+ mn, the costs of their efforts to Monica and Nancy are m2 and n2, respectively, and Monica commits to an effort level first? Compare the payoffs to Monica and Nancy with those found in Exercise U10 in Chapter 5. Does this game have a first-mover or second - mover advantage? Using the same joint profit function as in part (a), find the subgame - perfect equilibrium for the game where Nancy must commit first to an effort level. U10. Return to the game between Monica and Nancy in Exercise U10 in Chapter 5. Assume that Monica and Nancy choose their effort levels sequentially instead of simultaneously. Monica commits…
Find the SPNE for the centipede game. Centipede game: Two players, 1 and 2, take turns choosing one of two actions each time, continue or stop. They both start with $1 in their respective piles, and each time i says continue, $1 is taken away from his pile, and $2 are added to the other player's pile. The game automatically stops when both players have $100 in their respective piles.
Player 1 can stay at home or fly to New York, in which case Player 2 can meet Player 1, who can then buy a drink for Player 2. See the game below. Which of the following completely describes a possible strategy for Player 1? 1 Fly to New York Stay home Stay home Stay home and Don't buy drink Fly to New York and Meet Stay home or Fly to New York 2 Meet Don't meet 0,0 1 Buy drink Don't buy drink -2,0 1,2 -1, -1
8.8
Suppose that Lionel Messi is negotiating a contract with FC Barcelona. Messi has an offer from Real Madrid for $20 million a year. If he signs with FC Barcelona, they will earn $90 million in revenue from the signing. FC Barcelona's next best option is to sign Cristiano Ronaldo. They would earn $70 million from signing Ronaldo and would pay him a contract of $10 million. Messi's bargaining power is w = 1/2. a) What is the negotiated salary between Messi and FC Barcelona under Nash Bargaining? What is Messi's surplus and what is FC Barcelona's surplus? b) Due to an injury, FC Barcelona would only earn $50 million from signing Ronaldo but everything else remains the same. What is the negotiated salary between Messi and FC Barcelona under Nash Bargaining? What is Messi's surplus and what is FC Barcelona's surplus?
Problem 5 Two countries are currently facing the COVID threat when trading with each other. Such countries are currently considering three options: keeping the activities open, limiting the opening hours, or closing down. The following table shows the expected payoffs in billions of dollars. For example, if Country 1 will adopt “Limited opening" and Country 2 will keep the activities open, Country 1 will have a payoff of 4 billion dollars, while Country 2 will have a payoff of 8 billion dollars. Country 2 Оpen Limited opening Closed Оpen 5;5 8;4 10;0 Country 1 Limited opening 4;8 7;7 5;0 Closed 0;10 0;5 0;0 Question 5.1. In case of a simultaneous decision (simultaneous game), identify eventual equilibria, and strategies in this game for the two countries. Give a brief economic explanation of your results. Question 5.2. In case one of the two countries would choose first (sequential game), identify the two outcomes of the game, and eventual first/second mover advantages.
Jane is interested in buying a car from a used car dealer. Her maximum willingness to pay for thecar is 12 ($12,000). Bo, the dealer, is willing to sell the car as long as he receives at least 9($9,000). What is the Nash bargaining solution to this game?
Brian and Matt own the only two bicycle repair shops in town. Each must choose between a low price for repair work and a high price. The yearly economic profits from each strategy are indicated in Figure bellow. The upper right side of each rectangle shows Brian's profits; the lower left side shows Matt's profits. Matt's Actions Low Price High Price Low Price Brian's Actions $1,500 $1,500 $200 $3,000 High Price $5,000 $200 $4,000 $4,000 Which of the following statements is correct for a one-trial game? The market equilibrium price is the low price. A market equilibrium price cannot be established unless Brian and Matt collude. A market equilibrium price cannot be established unless Brian or Matt engages in tit-for-tat strategy. A market equilibrium price cannot be established without repeated trials. The market equilibrium price is the high price.
(The Beckhams' dilemma) Victoria and David are husband and wife. They both prefer ciean to dirty house but neither likes to clean the house. Their payoffs are given in the table below. Victoria Clean Don't clean 0,8 Clean 5,5 David Don't clean 8,0 1,1 a) Let say they play the clean house game only once, what is the Nash equilibrium? b) Let say Victoria and David has to decide whether to clean or not every day for indefinite number of days. How grim-trigger strategy will be our subgame perfect Nash equilibrium? In other words, what is the patience rate that ensure Victoria and David maintain the cleanliness of the house?
John and Paul are walking in the woods one day when suddenly an angry bear emerges from the underbrush. They each can do one of two things: run away or stand and fight. If one of them runs away and the other fights, then the one who ran will get away unharmed (payoff of 0) while the one who fights will be killed (payoff -200). If they both run, then the bear will chase down one of them and eat them to death but the other one will get away unharmed. Assuming they don't know which one will escape we will call this a payoff of -100 for both. If they BOTH fight, then they will successfully drive off the bear but they may be injured in the process (payoff -20). Construct a payoff matrix for this game and identify the pure strategy Nash equilibrium. (Indicate it with words not with a circle!)
Suppose that Jason and Chad each are thinking of opening up a diet coke stand on the fourth floor of this building. Suppose that potential customers are evenly spaced on a distance that is normalized to 1. Customers will buy a diet coke from whichever stand requires the least walking. If they are the same distance the customer will flip a coin. This is depicted below. 1/4 1/2 3/4 Suppose that Jason and Chad are simultaneously choosing the location of their stands, what is the Nash Equilibrium location? a. One of them puts a stand at 3/4 and the other puts a stand at 1/4 b. Chad and Jason put their stands right next to each other at 1/2 c. One of them puts a stand at 0 and the other puts a stand at 1 d. There is no Nash Equilibrium