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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.
1 A, Explain how a person can be free to choose but his or her choices are casually determined by past event 2 B , Draw the casual tree for newcomb's problem when Eve can't pe
Consider the following three games (Chicken, Matching Pennies, Stag Hunt): Chicken Player 2 Player 1 D V D -100;-100 10;-10 V -10; 10 -1;-1 Matching Pennies Pla
A sequential game is one among imperfect data if a player doesn't grasp precisely what actions different players took up to that time. Technically, there exists a minimum of one da
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
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
"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
Treating probability as a logic, Thomas Bayes defined the following: Pr(X|Y)=Pr(Y|X)Pr(X)/Pr(Y) For example, probability that the weather was bad given that our friends playe
An auction during which the bidder who submitted the very best bid is awarded the item being sold and pays a worth equal to the number bid. Alternately, in a very procurement aucti
write a program in c that takes n number finite players using gambit format and output is to be all pure strategy nash equilibrium
Three flowcharts and the game board for your mousetrap game should be submitted. You can use board_design.pdf to help you lay out your board. Basically, you can use any shapes you
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