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An exchange game:-
Each of two individuals receives a ticket on which there is an integer from 1 to m indicating the size of a prize she may receive. The individuals' tickets are assigned randomly and independently; the probability of an individual's receiving each possible number is positive.
Each individual is given the option to exchange her prize for the other individual's prize; the individuals are given this option simultaneously. If both individuals wish to exchange then the prizes are exchanged; otherwise each individual receives her own prize. Each individual's objective is to maximize her expected monetary payoff.
Model this situation as a Bayesian game and show that in any Nash equilibrium the highest prize that either individual is willing to exchange is the smallest possible prize.
Now consider the variant in which each player, on her turn, has the additional option of shooting into the air. Find the subgame perfect equilibria of this game when pA pB. Explain the logic behind A's equilibrium action.
How many proper subgames does this game have and calculate the unique Nash equilibria of the subgames that start in the second stage and Find and report all of the (pure-strategy) Nash equilibria of this game.
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?
Three students, Jim, Joan, and Jethroe are registered for the same class and attend independently to each other, Jim 95.7% of the time, Joan 92.3% of the time, and Jethroe 82.8% of the time. What is the probability that on any given day:
What are the ingredients of a simultaneous-move game? Show (using simple examples) how one might propose a "solution" for such games. Comment on the strengths and weaknesses of your solution concept(s).
The "Prisoner's Dilemma" was the gateway to the strategic viewpoint of game theory. In this assignment, you will explore the applications of game theory to economic business decisions.
What are the pure-strategy Bayesian Nash equilibria of this game? - Which of the Bayesian Nash equilibria that you found in (a) are perfect Bayesian equilibria?
A hat contains three coins - one gold, one silver and one copper. You will select coins one at a time without replacement until you choose the gold coin. The outcome of interest is the sequence of coins that are selected during this process.
The given matrix demonstrate the payoffs for an advertising game between Hilton and the Oriental. The companies can choose to advertise or to not advertise.
What is the mean of the sampling distribution of the difference between means?
you must work alone to complete this quiz. do not share answers or ideas with other students. write your answers
Find the top cycle set, and for each alternative a in the set design a binary agenda for which a is the outcome of sophisticated voting.
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