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Prove the following claims:
(a) If strategy σk approaches a set C for player k, then it approaches every supersetof C for that player.
(b) If strategy σk excludes a set C for player k, then it excludes every subset of C for that player.
1. sun resortssun resorts has a hotel on a caribbean island. it recently spent money to lobby the government to build a
Little Kona is a small coffee corporation that is planning entering a market dominated through Big Brew. Each corporation's profit depends on whether Little Kona enters and whether Big Brew sets a high price or a low price.
Two players, Amy and Beth, take turns choosing numbers; Amy goes first. On her turn, a player may choose any number between 1 and 10 Who will win the game? What are the optimal strategies (complete plans of action) for each player?
Show that the firms can use trigger strategies (that switch forever to the static game Nash equilibrium after any deviation) to sustain the monopoly price level in a subgame perfect equilibrium if and only if &1/2.
Show that in order that AA and PP yield a player the same expected payoff when her opponent uses the strategy β, we need β to assign probability (V + v)/2c to AA.
Write down this situation as a strategic-form game, where the set of players is the set of people arrested, and the utility of each player (suspect) is 10 minus the number of years he spends in jail.
According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected.Referring to the information, the average of all the sample proportions of customers who will mak..
Determine which pair of strategies would competing companies A and B choose given this payoff matrix?
What is the outcome of the game? - What is the superintendent's offer and what is the president's response?- Comment on how the union's final salary depends on y.
Write about Predicting Price-Setting Strategies. I studied for my Masters degree under Professor Oskar Morgenstern, who toghether with Von Nuemann of Princeton University, developed game Theory.
How much should the players be jointly willing to pay to transform the setting from one of limited verifiability, where the court cannot distinguish.
Assume that c is an integral number of cents and that α > c + 1. Is (c, c) a Nash equilibrium of this game? Is there any other Nash equilibrium?
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