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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.
Yankee auction typically implies a multiunit discriminatory English auction. not like a Vickrey auction where every winning bidder pays identical worth for every unit, in a very ya
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Ordinal payoffs are numbers representing the outcomes of a game where the worth of the numbers isn't vital, however solely the ordering of numbers. for instance, when solving for a
Consider two quantity-setting firms that produce a homogeneous good. The inverse demand function for the good is p = A - (q 1 +q 2 ). Both firms have a cost function C = q 2 (a
In any game, utility represents the motivations of players. A utility perform for a given player assigns variety for each potential outcome of the sport with the property that a be
How did link die
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
The following is a payoff matrix for a non-cooperative simultaneous move game between 2 players. The payoffs are in the order (Player 1; Player 2): What is the Dominant Strat
Case study GAME 1 Rock-Scissors-Paper This game entails playing three different versions of the children's game rock-scissors-paper. In rock-scissors-paper, two people si
Eighteenth century British mathematician who recognized a method for probabilistic mathematical inference. His Bayes Theorem, published posthumously, treats probability as a logic.
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