In the game matrix below, the first payoff in each pair goes to player A, who chooses the row, and the second payoff goes to player B, who chooses the column. Player B Left Right Player A Top 0,1 2,0 Bottom 2,0 0,1 What is true about the Nash equilibria in this game? Every possible combination of pure and mixed strategies is a Nash equilibrium. There are four Nash equilibria, one for each combination of pure strategies. There are two Nash equilibria—namely, A bottom, B left and A top, B right. The only Nash equilibrium is one where each player plays a mixed strategy. There is no Nash equilibrium of any kind.
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- Which choice is ALWAYS TRUE for a pure Nash equilibrium of a two-person nonzero-sum game? No player can improve his payoff with a unilateral change of strategy. It is a Pareto maximum of the payoff matrix. No player can worsen the payoff of his opponent with a unilateral change of strategy. O It gives worse payoffs to both players than any Berge equilibrium. « Previous SimpfunThe owner of a copper mine gets together with all the other copper mine owners and agrees to enter a trust with them. The board of “trustees” for this copper trust then sets the price of copper much higher than they were selling it for before. Is this a vertical integration or a horizontal integration?A martingale betting strategy works as follows. You begin with a certain amount of money and repeatedly play a game in which you have a 40% chance of winning any bet. In the first game, you bet 1. From then on, every time you win a bet, you bet 1 the next time. Each time you lose, you double your previous bet. Currently you have 63. Assuming you have unlimited credit, so that you can bet more money than you have, use simulation to estimate the profit or loss you will have after playing the game 50 times.
- !You are attempting to establish the utility that your boss assigns to a payoff of $1,200. You have established that the utility for a payoff of $0 is zero and the utility for a payoff of $10,000 is one. Your boss has just told you that they would be indifferent between a payoff of $1,200 and a lottery which has a payoff of $10,000 where the probability of losing is 0.9. What is your boss' utility for $1,200? (Round your answer to 1 decimal place.) Utility of $1,200You are attempting to establish the utility that your boss assigns to a payoff of $1,000. You have established that the utility for a payoff of $0 is zero and the utility for a payoff of $10,000 is one. Your boss has just told you that they would be indifferent between a payoff of $1,000 and a lottery which has a payoff of $10,000 where the probability of losing is 0.7. What is your boss' utility for $1,000? (Round your answer to 1 decimal place.) Utility of $1,000
- If a $900,000 30-year fully amortizing fixed rate mortgage loan from City National Bank has an annual interest rate of 6.25% with a monthly payment of $5,541.45, and a $900,000 15-year fully amortizing fixed rate mortgage loan from Wells Fargo Bank has an annual interest rate of 5.25% with a monthly payment of $7,234.90, a borrower should: a. Choose the 30-year fixed rate loan from City National Bank because of the lower monthly payments b. Make a careful analysis of all the terms and conditions of the available loans to determine which loan is better for that borrower under the circumstances, or if another loan or lender should be considered c. Choose a 7-year adjustable rate interest-only loan from PNC Bank instead with a low teaser interest rate of 1.0% for the first loan year d.Choose the 15-year fixed rate loan from Wells Fargo because of the lower interest rateA store owner must decide whether to build a small or a large facility at a new location. Demand at a location can be either small or large, which probabilities estimated to be 0.4 and 0.6, respectively. If small facility is built and demand proves to be high, the manager may choose not to expand (payoff=P235,000) or to expand (payoff=P275,000). If a small facility is built and demand is low, there is no reason to expand and the payoff is P220,000. If a large facility is built and demand proves to be low, the choice is to do nothing (P60,000) or to stimulate demand through local advertising. The response to advertising may be either modest or sizable, with their probabilities estimated to be 0.3 and 0.7, respectively. If it is modest, the payoff grows to P230,000 if the response is sizable. Finally, if a large facility is built and demand turns out to be high, the payoff is P900,000.a.) Draw a decision tree.b.) Determine the expected payoff for each decision and event node.c.)…R2
- On Monday, a certain stock closed at $10 per share. Before the stock market opens on Tuesday, you expect the stock to close at $9, $10, or $11 per share, with respective probabilities 0.3, 0.3, and 0.4. Looking ahead to Wednesday, you expect the stock to close 10 percent lower, unchanged, or 10 percent higher than Tuesday’s close, with the following probabilities. Tuesday's Close 10 Percent Lower Unchanged 10 Percent Higher $9 0.4 0.3 0.3 10 0.2 0.2 0.6 11 0.1 0.2 0.7 Early on Tuesday, you are directed to buy 100 shares of the stock before Thursday. All purchases are made at the end of the day, at the known closing price for that day, so your only options are to buy at the end of Tuesday or at the end of Wednesday. You wish to determine the optimal strategy for whether to buy on Tuesday or defer the purchase until Wednesday, given the Tuesday closing price, to minimize the expected purchase price. Develop and evaluate a decision tree. a-1. Determine the optimal…Ellen is a leading comedian in the USA. A movie producing company and a TV network both want exclusive rights to her latest comedy series. The TV network is willing to pay a single lump sum, but if she signed with the movie company, the sum she receives will depend on how the market responds to her series. The network is willing to pay a flat $900,000-00. The movie company is prepared to pay $200,000-00, $1,001, 000-00, and $3,000,000-00 for a ‘Minimal Hit’, ‘Average Hit’, and ‘Massive Hit’, respectively. The statisticians are forecasting a 30% probability of a minimal hit, 60% for an average hit, and a 10% for massive hit. Required: a) Construct a decision tree of the above situation clearly identifying the decision and chance nodes. b) What are the expected payoffs for each decision and what would be your recommendation to Ellen? c) If Ellen had the relevant information on all the possibilities, what would be her expected payoff? d) What price would you recommend she pays to acquire…Consider two equity market investors. The first investor is a hedge fund manager that relies on very active trading, and borrows from investment banks in order to leverage their investment. Their remuneration depends on total base fee earned by their fund as a percentage of net assets under management, plus a yearly bonus based on returns generated above a hurdle rate. The second investor is a high net-worth individual who is investing for their own retirement, which they anticipate to occur in 10 years or more. Identify three dimensions of risk that are likely to have significantly different impact on thesetwo investors. Explain the nature of the difference. Suggest aspects that each investor might monitor in order to control the risks most relevant to them.