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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.
The following is a payoff matrix for a non-cooperative simultaneous move game between 2 players. The payoffs are in the order (Player 1; Player 2): What is the Dominant Strat
Two individuals use a common resource (a river or a forest, for example) to produce output. The more the resource is used, the less output any given individual can produce. Denote
A bidding increment is defined by the auctioneer as the least amount above the previous bid that a new bid must be in order to be adequate to the auctioneer. For example, if the in
Evolutionary game theory provides a dynamic framework for analyzing repeated interaction. Originally modeled when "natural models" of fitness, a population might contains folks gen
The title of a "player" who selects from among her methods randomly, primarily based on some predetermined chance distribution, instead of strategically, primarily based on payoffs
How did link die
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
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
Scenario Two corporations should simultaneously elect a technology to use for his or her compatible merchandise. If the corporations adopt totally different standards, few sales
GAME PLAYING IN CLASS There are several games that are appropriate for use on the first or second day of class. These games are simple but can be used to convey important poin
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