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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.
GAME Adding Numbers—Lose If Go to 100 or Over (Win at 99) In the second ver- sion, two players again take turns choosing a number be- tween 1 and 10 (inclusive), and a cumulati
Named when Vilfredo Pareto, Pareto potency (or Pareto optimality) may be alive of potency. An outcome of a game is Pareto economical if there's no different outcome that produces e
A collection of colluding bidders. Ring members comply with rig bids by agreeing to not bid against one another, either by avoiding the auction or by putting phony (phantom) bids
Exercise 1 a) Pure strategy nash equilibrium in this case is Not Buy, bad ( 0,0) as no one wants to deviate from this strategy. b) The player chooses buy in the first perio
A payoff offerd as a bequest for someone partaking in some activity that doesn't directly provide her with profit. Often, such incentives are given to beat the ethical hazard drawb
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
Identification may be established either by the examination of the specification of the structural model, or by the examination of the reduced form of the model. Traditionally
A bid that indicates totally different costs for various quantitites of the item offered for sale. A series of price-quantity mixtures is tendered to the auctioneer.
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
A set of colluding bidders. Ring participants agree to rig bids by agreeing not to bid against each other, either by avoiding the auction or by placing phony (phantom) bids.
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