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(Burning a bridge) Army 1, of country 1, must decide whether to attack army 2, of country 2, which is occupying an island between the two coun- tries. In the event of an attack, army 2 may fight, or retreat over a bridge to its mainland. Each army prefers to occupy the island than not to occupy it; a fight is the worst outcome for both armies. Model this situation as an extensive game with perfect information and show that army 2 can increase its subgame perfect equilibrium payoff (and reduce army 1's payoff) by burning the bridge to its mainland, eliminating its option to retreat if attacked.
In an experimental study of the effects of exercise on stress, participants are randomly assigned to either the no exercise or the exercise conditions. Identify what type of study this is-between-, within-, or matched-participants. In addition, id..
Draw the game table for this new version of the simultaneous-play mall location game. Find all of the Nash equilibria of the game. Identify the subgame-perfect equilibrium.
Consider the two-period repeated game in which this stage game is played twice and the repeated-game payos are simply the sum of the payos in each of the two periods.
Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 46 pounds and standard deviation 3.5 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percen..
A firm incurs production costs C(q) = F + mq, and transportation costs T(q) = aq + ????2, where q is the output of each of its plants. What is the optimal plant size, and how does it vary with the parameters F, m, a and b?
Suppose this reliability cannot be met, and the actual median is 20,000. So the company instead implements a preventive maintenance policy with a maintenance cycle of 4,000 hours. What is the new reliability at 10,000 hours?
consider the following game that is played t times. first players move simultaneously and independently. then each
Draw the best-response curves for both players, and indicate the mixed strategy equilibrium on your diagram. Verify that there is no pure-strategy equilibrium in this game, and then find the mixed-strategy equilibrium.
Company A and B are battling for market share in two separate markets. Market I is worth $30 million in revenue; market II is worth $18 million.
Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.
Employee absences can seriously affect productivity. In one country, employees are absent from work an average of 2.6 weeks of the 52-week work-year.
Find a mixed strategy Nash equilibrium in which each player uses the same mixed strategy. (If you know how, find each player's mean bid in the equilibrium.)
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