Draw a normal form for this tree. 2. Find all the subgames in the tree. 3. Find SPNE (Subgame Perfect Nash Equilibrium) of the tree and explain how it works.
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1. Draw a normal form for this tree.
2. Find all the subgames in the tree.
3. Find SPNE (Subgame Perfect Nash Equilibrium) of the tree and explain how it works.
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- Suppose that a large discount retailer with a lot of purchasingpower in a supply chain requires that all suppliers incorpo-rate a new information system that will reduce the cost of placing orders between the retailer and its suppliers as wellas between the suppliers and their suppliers. Suppose alsothat order quantities and lead times are related; the smallerthe order quantity the shorter the lead time from suppliers.Assume that all members of the supply chain use a continu-ous review system and EOQ order quantities. Explain the im-plications of the new information system for the supply chainin general and the inventory systems of the supply chainmembers in particularSuppose that an incumbent can commit to producing a large quantity of outputbefore the potential entrant decides whether to enter. So, the incumbent Örst chooseswhether to produce a small quantity or a large quantity. The rival then decides whether toenter. If the incumbent commits to the small output level and if the rival does not enter,the rival makes $0 and the incumbent makes $900. If it does enter, the rival makes $125and the incumbent earns $450. If the incumbent commits to producing the large quantity,and the potential entrant stays out of the market, the potential entrant makes $0 and theincumbent makes $800. If the rival enters, the best the entrant can make is $0, the sameamount it would earn if it didnít enter, but the incumbent earns only $400. Show the gametree. What is the SPNE?64. (This problem assumes knowledge of the basic rulesof baseball.) George Lindsey (1959) looked at boxscores of more than 1000 baseball games and foundthe expected number of runs scored in an inning foreach on-base and out situation to be as listed in the fileP09_64.xlsx. For example, if a team has a man on firstbase with one out, it scores 0.5 run on average untilthe end of the inning. You can assume throughout thisproblem that the team batting wants to maximize theexpected number of runs scored in the inning.a. Use this data to explain why, in most cases,bunting with a man on first base and no outs isa bad decision. In what situation might buntingwith a man on first base and no outs be a gooddecision?b. Assume there is a man on first base with one out.What probability of stealing second makes an attempted steal a good idea?
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- Question 2Consider the case of Jonathan, who is a singlefather with one child. He can work as a serverfor $6 per hour up to 1,500 hours per year. Heis eligible for welfare and can receivegovernment support of $10,000 for notworking at all. If he works 1,500 hours, hisearnings would be______ and governmentsupport would be______.O a) 2.000; 8,000O b) 3,000; 7,000O c) 9,000; 1,000O d) 10,000; 0You and a coworker are assigned a team project on which your likelihood or a promotion will be decidedon. It is now the night before the project is due and neither has yet to start it. You both want toreceive a promotion next year, but you both also want to go to your company’s holiday party that night.Each of you wants to maximize his or her own happiness (likelihood of a promotion and mingling withyour colleagues “on the company’s dime”). If you both work, you deliver an outstanding presentation.If you both go to the party, your presentation is mediocre. If one parties and the other works, yourpresentation is above average. Partying increases happiness by 25 units. Working on the project addszero units to happiness. Happiness is also affected by your chance of a promotion, which is depends on howgood your project is. An outstanding presentation gives 40 units of happiness to each of you; an aboveaverage presentation gives 30 units of happiness; a mediocre presentation gives 10 units…. Wood, the receiver of Stanton Oil Company, suedStanton’s shareholders to recover dividends paid to themfor three years, claiming that at the time these dividendswere declared, Stanton was in fact insolvent. Wood didnot allege that the present creditors were also creditorswhen the dividends were paid. Were the dividendswrongfully paid? Explain