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Let (N; v) and (N; w) be two coalitional games with the same set of players.
Let x ∈ X(B; v) and y ∈ X(B; w). Does x + y ∈ X(B; v + w) necessarily hold? Does x - y ∈ X(B; v - w) necessarily hold?
If you answer yes to either question, provide a proof. If you answer no, present a counterexample.
Assume that there are 10 pencils available of each color, and different children are allowed to choose the same color.
Draw the game tree and the matrix of this game, and find all the Nash equilibria. - Find all the subgame-perfect equilibria of this game.
Determine the critical discount factor above which cooperation between the two firms can be sustained (i.e., playing grim trigger strategy by both firms is an equilibrium in the repeated game).
Prove that for every symmetric bargaining game (S, d), the outcome ?(S, d) is the highest point on the line x1 = x2 that is also in S (in other words, the point in S and on the line x1 = x2 for which x1 is maximal).
First, player 1 selects a real number x, which must be greater than or equal to zero. Player 2 observes x.- Then, simultaneously and independently, player 1 selects a number y1 and player 2 selects a number y2, at which point the game ends.
Consider trade relations in the United State and Mexico. Suppose that leaders of two countries believe the payoffs to alternative trade policies are as follows:
What are the solutions to this game and how much is it worth to you to get your casino building permit first
Suppose two companies, A and B, that produce super computers. Each can manufacture the next generation super computer for math or for chip research.
Let C1 be a convex set and let C2 be a convex set containing C1.- Prove that if C1 is a B-set for a certain player, then C2 is also a B-set for that player.
However, when I run "./random2 1 100 20" for example it seg faults after displaying largest number and smallest number without displaying mean and median.
A light-bulb manufacturer advertises that the average life for its light bulbs 900 hours. A random sample of 10 of its light bulbs resulted in the following lives in hours. At the 10% significance level, do the data provide evidence that the mean ..
Suppose that the MBA education industry is constant cost and is in long run equilibrium. Demand raise, but due to strict accreditation standards, new companies are not allowed to enter the market.
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