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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.
Rules of Snake Eyes (small variation on game called Craps in USA) Player rolls two dice. On the first roll if the total of the dice is 2 (snake eyes): player wins and rece
1. The publishing industry in the country of Font, where the local currency is the stet, is dominated by two companies, the Arial Book Co. and Verdana Works Ltd.. Currently, both o
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
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
the first three words are ''''the boys'' down''''. what are the last three words?
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
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
Evolutionary game theory provides a dynamic framework for analyzing repeated interaction. Originally modeled when "natural models" of fitness, a population might contains folks gen
A strategy is dominated if, no matter what the other players do, the strategy earns a player a smaller payoff than another strategy. Hence, a method is dominated if it's invariably
please compute this number 885 for the swertres lotto game.
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