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(a) How many different coalitional structures can there be in a three-player game? Write down all of them.
(b) How many different coalitional structures can there be in a four-player game? Write down all of them.
Let T = 1. What is the critical value δ1 to support the pair of actions (M,m) played in every period? - Let T = 2. What is the critical value δT to support the pair of actions (M,m) played in every period?
Each player in any given match can condition her action on whether she was the ?rst to suggest getting together. Assume that for any given player the probability of being the ?rst is one half. Find the ESSs of this game.
In a one shot game, if you promote and your rival promotes, you will earn $7 million and your rival will earn $2 million in profits.
If it is an equilibrium payoff, describe an equilibrium leading to that payoff.- In these games, Player I is the row player and Player II is the column player.
Find a game that has at least one equilibrium, but in which iterative elimination of dominated strategies yields a game with no equilibria.
Find an example of a belief space, where the set of players is N = {I, II}, and there is a state of the world at which Player I believes that the state of the world is consistent.
Calculate each player's best-response function as a function of the opposing player's pure strategy. - Find and report the Nash equilibrium of the game.
Find a babbling perfect Bayesian equilibrium of this game. - What is the most informative perfect Bayesian equilibrium of this game?
What is the relation between the set of correlated equilibria of G and the set of correlated equilibria of G^? Justify your answer.
Is it a strictly dominant strategy to bid your true valuation in this auction? Is it a weakly dominant strategy to bid your true valuation in this auction?
A survey of 356 local drivers reveals that 18.7% of them car pool. Is there evidence that the actual proportion of local commuters car-pooling is less than national level. Also find and interpret the p-value of this test.
Barbara and Juanita, Two basketball players, are best offensive players of the school's team. They know if they work together offensively-feeding the ball to each other,
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