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Fifty people are playing the following game. Each player writes down, on a separate slip of paper, one integer in the set {0, 1,..., 100}, alongside his name. The gamemaster then reads the numbers on each slip of paper, and calculates the average x of all the numbers written by the players.
The winner of the game is the player (or players) who wrote down the number that is closest to 2/3 x. The winners equally divide the prize of $1,000 between them.
Describe this as a strategic-form game, and find all the Nash equilibria of the game. What would be your strategy in this game? Why?
The 100 game - Consider a two player game, where players have to say a number, which will be added to the sum of all numbers said to that point. Play the game and solve it
Pepsi produces Fritos and Lays potato chips in addition to its basic soft-drink products. Discuss potential ways that this business combination might increase value.
Find the Nash equilibrium of this market game. - Is the notion of a best response well defined for every belief that a firm could hold? Explain.
Assume you are one of two manufactures of tennis balls. Both you and your competitor have zero marginal costs. Total demand for tennis balls is
Next suppose that the game being played is the battle of the sexes. In the long run, as the game is played over and over, does play always settle down to a Nash equilibrium? Explain.
What is the free market price and quantity of chicken'? What is the wage of the average chicken worker in the free market situation?
Computers are playing an increasing role in education. Write a program that will help an elementary school learn multiplication
What is the profit-maximizing output level xM? What is the profit-maximizing price pM - In absence of recurring fixed costs, what is the monopolist's profit?
For a class activity, your group has been assigned the task of generating a quiz question that requires use of formula for conditional probability to compute P(B/A).
Calculate and report the subgame perfect Nash equilibrium of this game. In the equilibrium, does firm 1 enter firm 2's industry or firm 3's industry?
A sample set of 29 scores has a mean of 76 and a standard deviation of 7. Can we accept the hypothesis that the sample is a random sample from a population with a mean greater than 72? Use alpha = 0.01(1-tail) in making your decision.
Find the matchings produced by the deferred acceptance procedure both with proposals by X's and with proposals by Y's for the preferences given in Figure.
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