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The following example shows that the set of sequential equilibria is sensitive to the way in which a player makes decisions: it makes a difference whether the player, when called upon to choose an action from among a set of three possible actions, eliminates the actions he will not choose one by one, or simultaneously.
Consider the two extensive-form games below. Show that (2, 2) is a sequential equilibrium payoff in Game A, but not a sequential equilibrium payoff in Game B.
Construct a 90% confidence interval for the population average weight of the candies.
Find all the equilibria obtained by backward induction.- Describe the corresponding strategic-form game.- Check whether there exist additional equilibria.
Is the strategy vector in which both Davis and Roland send their entire fleets directly to Chicago, ignoring the new road, a Nash equilibrium?
How many items should the merchant stock in order to maximize her expected daily profit?
Assume that the market for computer chips is dominated through two comapnies: Intel and AMD. Intel has discovered how to make superior chips and is planning whether or not to adopt new technology.
Create a Form that contains two randomly generated parallel arrays, each containing 100 numbers.
Compute the pure-strategy and mixed-strategy Nash equilibria for this game, and note how they depend on x. In particular, what is the difference between x > 1 and x.
Suppose that Player 2 announced that she would use a mixture in which her probability of choosing Rock would be 40%. Find the mixed-strategy equilibrium of this Rock-Scissors-Paper game.
Calculate the reliability over a 37 hour period and what is the steady state availability of the system.
You have observed the following returns over time. Suppose that the risk free rate is 6 percent and the market risk premium is 5 percent.
Following is a payoff matrix for Intel and AMD. In each cell, 1st number refers to AMD's profit, while second is Intel's.
problem 1a in the game from the previous problem set old lady crossing the street identify all pure strategy nash
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