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Consider the electoral competition game presented in Lecture 6. In this game there are two candidates who simultaneously choose policies from the real line. There is a distribution of voters with median m and the candidate whose policy is closest to the median wins the election and the winning candidate's policy is implemented. If the two candidates are an equal distance from the median, then the average of the two policies is implemented. For this problem we suppose that both candidates care about both the implemented policy and winning the election. That is, the payo to each candidate has two parts. The first part is the utility from the implemented policy a*. That is, each candidate has utility u(a* ; xi), where xi is the ideal policy of candidate i and utility decreases to the left and right of xi. We suppose that xi < m < xj . The second part is the value of winning office, which we denote wi > 0 for candidate i. Putting these two parts together, we de ne the payoff to candidate i by
Find all Nash equilibria to this game.
Write a bouncing ball video game. The game is similar to the one described and depicted in The balls bounce within the screen where the two horizontal walls are fixed. The two v
A sequential game is {one of|one among|one in all|one amongst|one in each of} excellent data if just one player moves at a time and if every player is aware of each action of the p
A sequential game is one among one in all if just one player moves at a time and if every player is aware of each action of the players that moved before him at every purpose. Tech
A heuristic is an aid to learning, casually brought up as a rule of thumb. Formally, a heuristic may be a mechanism capable of altering its internal model of the surroundings in re
Twentieth century mathematician who expanded on earlier fastened purpose theorems. a hard and fast purpose theorem defines the conditions on a perform, f(x), beneath that there exi
Named when Vilfredo Pareto, Pareto optimality may be alive of potency. An outcome of a game is Pareto optimal if there's no different outcome that produces each player a minimum of
1. The town of Sunnydale, CA is inhabited by two vampires, Spike and Anya. Each night Spike and Anya independently hunt for food, which each one finds with probability 1/2 . Becaus
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
In Bontemps, Louisiana there are only two places to spend time: Merlotte's bar and Fangtasia. Sookie and Eric have made plans to spend Friday night together, but they never decided
Consider the situation in which Player M is an INCUMBENT monopolist in an industry, which makes a profit of $10m if left to enjoy its privileged position undisturbed. Player P is a
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