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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.
A sealed-bid second worth auction during which participants every simultaneously submit bids. The auctioneer discloses the identity of the very best bidder who is said the winner.
Paired Prisoners' Dilemma Students can be paired off and instructed to play several ver-sions of a particular game with a prisoners' dilemma structure.Provide each pair with a
Scenario Two conspirators are arrested and interrogated separately. If one implicates the opposite, he might go free whereas the opposite receives a life sentence. Yet, if each
the first three words are ''''the boys'' down''''. what are the last three words?
in a rectangular game pay off matrix of player a is as follows B1 B2 A1 5 7 A2 4 0 salve the game write down the pay off matrix of B and then solve the 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
Something in a very game is Mutual information if all players realize it. A seemingly straightforward concept, mutual information is insufficient to research most games, since it's
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
Scenario The hawk-dove game is additionally commonly called the sport of chicken. 2 hooligans with one thing to prove drive at one another on a slender road. The primary to swer
The notion that those that don't contribute to some project might nevertheless get pleasure from it (free riders), evidenced in games like the tragedy of the commons and public pro
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