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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.
Assuming that there are only 2 airline companies in the world, Delta and US Airways, what is the ((Nash) Equilibrium) or price that each company in the following matrix will charge
Problem:-Two players take turns choosing a number between 1 and 10 (inclusive), and a cumulative total of their choices is kept. The player to take the total exactly to 100 is the
An auction during which just one item is on the market for sale. Procedures embody English, Dutch, and sealed bid auctions. When multiple units are sold in one auction, the auction
A sequential game is one during which players build choices (or choose a strategy) following an exact predefined order, and during which a minimum of some players will observe the
A trigger strategy sometimes applied to repeated prisoner's dilemmas during which a player begins by cooperating within the initial amount, and continues to cooperate till one defe
A type of initial worth auction during which a "clock" initially indicates a worth for the item for sale substantially beyond any bidder is probably going to pay. Then, the clock g
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A form of a Japanese auction (which is a form of an English auction) in which bidders hold down a button as the auctioneer frequently increases the current price. Bidders irrevocab
You and an opponent are seated at a table, and on the table is a square board. At each of the four corners of the board, there is a disc, each one red on one side and black on the
Consider two identical firms, for each firm, the total cost of producing q units of output is C(q)=0.5q^2. The price is determined as P(q1,q2)- a-q1-q2. Estimate Cournots outcome;
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