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Game Theory: (prisoner's dilemma) Consider the following 2 x 2 pricing game, where rms choose whether to price High or Low simultaneously. Find the equilibrium in dominant s
Rules of Snake Eyes (small variation on game called Craps in USA) Player rolls two dice. On the first roll if the total of the dice is 2 (snake eyes): player wins and rece
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Rollback shows that Boeing chooses peace over war if Airbus enters, so Airbus will enter. Rollback equilibrium entails Airbus playing “Enter” and Boeing playing “Peace if entry”; e
Two people are involved in a dispute. Person 1 does not know whether person 2 is strong or weak; she assigns probability to person 2 being strong. Person 2 is fully informed. Each
Tower defense - is a subgenre of real-time strategy games. The goal of tower defense games is to try to stop enemies from crossing a map by building towers which shoot at them as t
1. This question and the next is based on the following description. Consider the coalitional game (referred to as Game 1) given by: N = {1,2,3,4}; v(N) = 3, v{i} = 0, i = 1,...,4,
Find Pure Nash Equilibria 1. Consider a two-player game in which player 1 chooses the strategy x 1 from the closed interval [-1, 1] while player 2 chooses the strategy x 2 fr
a) Show that A counting proof could be fun(?). But any old proof will do. (Note that the coefficients (1,2,1) in the above are just the elements of the second row of Pas
A type of sequential second worth auction, just like an English auction during which an auctioneer frequently raises the present worth. Participants should signal at each worth lev
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