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Compute the value of the following game, in mixed strategies, and in behavior strategies, if these values exist.
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.
What is the set of Nash equilibria for k m? For k = m = 1, is the game the same (except for the names of the actions) as any considered so far in this chapter?
Find a mixed strategy of Player I that guarantees him the same payoff against any pure strategy of Player II.- Find a mixed strategy of Player II that guarantees him the same payoff against any pure strategy of Player I.
We expect two proportions to be about 0.20 and 0.30, and we want an 80% chance of detecting a difference between them using a two-sided 0.05 level test.
Does each firm have a dominant strategy? If so, explain and what that strategy is and what is the Nash equilibrium? Explain where the Nash equilibrium occurs in the payoff matrix.
Do you have enough information to calculate the probability that player 2 selects X in equilibrium? If so, what is this probability?
Adapted from the battle game "Bowser's Bigger Blast" from Nintendo's "Mario Party 4"- Is this a fair game?- Or, is one player more likely to lose than the others?
If this game had only one period, what would be the effort level e and the price p in the unique perfect Bayesian equilibrium?
After researching cysts of a particular type, a doctor learns that out of 10,000 such cysts examined, 1,500 are malignant and 8,500 are benign. A diagnostic test is available which is accurate 80% of the time (whether the cyst is malignant or not)..
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.
A problem with an exercise about Cournot game. It is very complex and it is composed by different question and it is impossible for me to write the complete text.
What is the appropriate definition of a Nash equilibrium for this location game? Find the Nash equilibrium locations of the two drinking establishments.
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