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Prove that the following two claims hold for any closed set C ⊆ Rm (recall that M is the maximal payoff of the game, in absolute value):
(a) C is approachable by a player if and only if the set {x ∈ C: ? x ? ≤ M} is approachable by the other player.
(b) C is excludable by a player if and only if the set {x ∈ C: ? x ? ≤ M} is excludable by the player.
(c) Show that if C is not closed, item (a) above does not necessarily hold.
What kind of factors could further enhance or degrade the effectiveness of face-to-face communication, and if so. how would affect the probability of cooperating?
Prove that in the given game, which is obtained from the game in part (a) by adding a dominated pure strategy to each player, (B,M) is a perfect equilibrium.
Draw the sets R1(p) and R2(q), for every p and q.- Which of the following sets is a B-set for Player 1, which one is a B-set for Player 2, and which one is neither?
Explain how a person can choose freely, but his or her choices are caused by past events - Draw the causal tree for Newcomb's Problem when Eve cannot perfectly detect Adam's causal history.
Check that no coalition can improve upon any action of the grand coalition in which the output received by every worker is nonnegative and at most f(n) - f(n - 1).
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).
Write a critique analysis not more than 6 pages using his journal and others sources from his reference to to criticize.
1. capm numerical exercise consider the following three assetswrite a computer program for example using matlab to
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.
One of the payoffs in the following base game is a parameter labeled x. For every x ∈ [0, 1] find the set of equilibrium payoffs in the infinitely repeated game based on this game.
A recent study by Ohio State University (March 5, 2008) suggests that students with cell phones may take more risks than students that do not have cell phones.
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.
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