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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.
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
(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
if the first three words are "the boy''s down" what are the last three words?
On a picnic outing, 2 two-person teams are playing hide-and-seek. There are four hiding locations (A, B, C, and D), and the two members of the hiding team can hide separately in a
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
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
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
A multiunit auction mechanism for assigning heterogeneous (different) objects. The highest bidder in the first round selects one item among those offered for sale. Then, a second r
What do you study about the saving, investment spending and financial system? Savings, Investment Spending, and the Financial System: 1. The correlation between savings and
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
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