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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 common term for an English auction, a sort of sequential auction during which an auctioneer directs participants to beat the present, standing bid. New bids should increase the p
Computer Game Zenda This game was invented by James Andreoni and Hal Varian; see their article, "Pre-Play Contracting in the Prisoners 'Dilemma".The paper also contains some co
Consider the Cournot duopoly model in which two firms, 1 and 2, simultaneously choose the quantities they will sell in the market, q1 and q2. The price each receives for each unity
Assurance game Scenario "Assurance game" may be a generic name for the sport a lot of commonly called "Stag Hunt." The French thinker, Jean Jacques Rousseau, presented the subse
Winner of the Nobel Prize in 1972, Hicks is acknowledged mutually of the leading economists normally equilibrium theory. he's credited with the introduction of the notion of elasti
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) Draw a table representing the Prisoner?s Dilemma game. (b) Give a story inspired by real life for the prisoner?s dilemma game that is di¤erent from the story about the two crim
1. (a) True or False: If a 2x2 game has a unique pure strategy Nash Equilibrium, then both players always have dominant strategies. (b) Draw a table representing the Prisoner.s Dil
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
"Assurance game" is a general name for the game more commonly known as "Stag Hunt." The French philosopher, Jean Jacques Rousseau, presented the subsequent circumstances. Two hunte
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