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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.
An equilibrium refinement provides how of choosing one or many equilibria from among several in a very game. several games might contain many Nash equilibria, and therefore supply
The Cournot adjustment model, initial proposed by Augustin Cournot within the context of a duopoly, has players choose methods sequentially. In every amount, a firm selects the act
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I wanna know the language to make games
A Nash equilibrium, named when John Nash, may be a set of methods, one for every player, such that no player has incentive to unilaterally amendment her action. Players are in equi
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
In any game, payoffs are numbers that represent the motivations of players. Payoffs might represent profit, quantity, "utility," or different continuous measures (cardinal payoffs)
Yankee auction typically implies a multiunit discriminatory English auction. not like a Vickrey auction where every winning bidder pays identical worth for every unit, in a very ya
Matching Pennies Scenario To determine who is needed to try to to the nightly chores, 2 youngsters initial choose who are represented by "same" and who are represented by "diffe
scenario A wife and husband ready to meet this evening, but cannot remember if they will be attending the opera or a boxing match. Husband prefers the boxing match and wife pref
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