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(Defending territory) General A is defending territory accessible by two mountain passes against an attack by general B. General A has three di- visions at her disposal, and general B has two divisions. Each general allocates her divisions between the two passes. General A wins the battle at a pass if and only if she assigns at least as many divisions to the pass as does general B; she successfully defends her territory if and only if she wins the battle at both passes. Formulate this situation as a strategic game and find all its mixed strategy equilibria. (First argue that in every equilibrium B assigns probability zero to the action of allocating one division to each pass. Then argue that in any equilibrium she assigns probability 1 to each of her other actions. Finally, find A's equilibrium strategies.) In an equilibrium do the generals concentrate all their forces at one pass, or spread them out?
What is the probability that an executive who speaks a foreign language has not traveled internationally?
Find the Nash revision strategies for Ann and Bob which form a SGPNE with the δ identified in part (a) - Verify that the strategies found in part (b) do form a SGPNE
Suppose you have been offered chance to participate in a Treasure Hunt game whose rules are as follows. There are 3-colored boxes: red, green and yellow.
What is the probability that one of the women will speak first? What is the probability that Abby will speak before Cameron does?
the following game matrix shows the strategies and payoffs to sony and philips as they choose what connection
An injection molding machine produces golf tees that are 20.0% nonconforming. Using the normal distribution as an approximation to the binomial, find the probability that, in a random sample of 360 golf tees, 65 or less are nonconforming. Show you..
Construct a 3 x 3 game in which there is only one Nash equilibrium in pure strategies and the vector of payoffs in this equilibrium is "worse" than some other vector of payoffs in the game.
You are given the information that P(A) = 0.30 and P(B) = 0.40 (a) Do you have enough information to compute P(A or B)? Explain. (Events A and B are mutually b) If you know that events A and B are mutually exclusive, do you have enough information..
What is game theory? What is a Nash Equilibrium or Nash equilibriums in this game?
Construct a 95% confidence interval estimate for the population mean price for two movie tickets, with online service charges, large popcorn, and two medium soft drinks, assuming a normal distribution.
Assume that there are 10 pencils available of each color, and different children are allowed to choose the same color.
A supplier and a buyer, who are both risk neutral, play the following game, The buyer’s payoff is q^'-s^', and the supplier’s payoff is s^'-C(q^'), where C() is a strictly convex cost function with C(0)=C’(0)=0. These payoffs are commonly known.
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