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Question: Suppose that two players, Bob and John, play the following matrix game.
Part a: Find all of the game's pure-strategy Nash equilibria. Now suppose that the players play this game twice in a row. They observe what each other did in the first stage before they decide what to do in the second stage. Each player's payoff is the (undiscounted) sum of his payoffs in the first and second stages.
Part b: Find all Subgame Nash Equilibria of this finitely repeated game.
Part c: Why may it be possible to support non-equilibrium outcomes in a stage game when the game is repeated a finite number of times.
Part d: Why might it be possible to support cooperation in an infinitely-repeated
Draw the best response function for each player using the coordinate system below. Mark Nash equilibria on the diagram - List the pair of mixed strategies in Nash equilibrium.
Pertaining to the matrix need simple and short answers, Find (a) the strategies of the firm (b) where will the firm end up in the matrix equilibrium (c) whether the firm face the prisoner’s dilemma.
Find a two-player coalitional game (N; v), and a V -shaped set K, i.e., a set that is the union of two line segments sharing an edge point, such that the nucleolus of (N; v) relative to K is the two edge points of K.
Provide an example of a belief space ? with three players, which contains a state of the world ω, such that the minimal belief subspaces of two of the players at ω are consistent and differ from each other.
Find the set of equilibria in this game. How many voters go to vote in any equilibrium - Discuss the normative predictions of this model. In your discussion take into account both the policies chosen and the costs that voters accrue in going to vot..
Within the context of a repeated Prisoner's Dilemma, discuss the extent to which a noncooperative outcome is the inevitable outcome
Suppose 70% of kids who visit the doctor have a fever, and 15% of kids with a fever have a sore throat. Whats the probability that a kid who goes to the doctor has a fever and a sore throat?
Use the tree from part a to argue that this statement consti tutes a promise. What would the outcome of the game be if the promise works?
In a two player, one shot simultaneous move game each player can select strategy A or B. If both players select strategy A, each receives a payoff of $500.
Find the Nash equilibrium in mixed strategies of the following static game of complete information. For the following base game determine whether or not (2, 1) is an equilibrium payoff of the corresponding infinitely repeated game
List the strategies available to each player in the game - Find all Nash Equilibrium and find all pure and mixed strategy Nash Equilibriums
Assuming that the systolic blood pressures of deep sea divers are normally distributed, the doctor would perform a chi-square test to test her research hypothesis. In that case, what is the test value that she would compute.
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