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(a) Find all the equilibria of the following two-player game.
(b) Suppose the players play the game twice; after the first time they have played the game, they know the actions chosen by both of them, and hence each player may condition his action in the second stage on the actions that were chosen in the first stage. Describe this two-stage game as an extensive-form game.
(c) What are all the subgames of the two-stage game?
(d) Find all the subgame perfect equilibria of the two-stage game.
Find a babbling perfect Bayesian equilibrium of this game. - What is the most informative perfect Bayesian equilibrium of this game?
Elly's Hotdog Emporium is famous for its chilidogs. Elly's latest sales indicate that 30% of the customers order their chilidogs with hot peppers. Suppose 15 customers are selected at random. What is the probability that between two and six people..
Consider the following ultimatum bargaining game. There is 1 unit of a good and player 1 offers a split (x, 1 - x), where x ∈ [0, 1] is chosen by player 1. Player 2 accepts the offer (Y ) or refuses it (N ). If player 2 accepts the offer, then player..
Download a shareware version of some commercial software. Design a plan for converting the shareware version to a full version without paying one cent.
What is the relation between the matrices A and B?- Conduct a similar transformation of the names of the players in the following matrix and write down the new matrix.
Bayesian game - Solve for an Nash equilibrium of this game and show that there is always an equilibrium where the sender plays the same action after every message
An even number of people have to be split into pairs. Each person's characteristic is a number; no two characteristics are the same. - Find the set of matchings in the core.
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Find the mixed strategy Nash equilibria of the game (depending on c and Π). Does the existence of a friend make it more or less likely that you decide to go swimming on the first day?
A market research firm conducts studies regarding the success of new products. The company is not always perfect in predicting the success.
Suppose that the set of policies is one-dimensional and that each player's preferences are single-peaked. - Find the core of the q-rule game for any value of q with n/2 ≤ q ≤ n.
Suppose two companies, A and B, that produce super computers. Each can manufacture the next generation super computer for math or for chip research.
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