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Tom, Dick, and Harry play the following game. At the first stage, Dick or Harry is chosen, each with probability 1 2 . If Dick has been chosen, he plays the Game A in Figure 5.36, with Tom as his opponent. If Harry has been chosen, he plays the Game B in Figure 5.36, with Tom as his opponent. Tom, however, does not know who his opponent is (and which of the two games is being played). The payoff to the player who is not chosen is 0.
Do the following:(a) Draw the extensive form of the game.
(b) Write down strategic form of the game.
(c) Find two equilibria in pure strategies.
(d) Find an additional equilibrium in mixed strategies.
It costs each company Brokely $3,000 per period to use filters that avoid polluting the lake. However, each company must use the lake's water in production
Find the maxmin value and the maxmin strategy (or strategies) of the players. Does this game have an equilibrium? If so, find it.
Do you think farmers collected more or less hay once this law was established and do you think Iceland's prosperity improved because of good neighbors?
where time is measured in months and 0
What is the expected (average) payoff to each player if each flips a coin to decide whether to play 2 or 3? ls this better than focusing on both choosing l as a focal equilibrium
Find the Nash equilibrium (equilibria?) of a variant of the example of Cournot's duopoly game that differs from the one in this section. What happens if each firm maximizes its market share?
William and Henry are participants in a televised game show, seated in separate booths with no possibility of communicating with each other.- Describe this situation as strategic-form game. What is the resulting game?
What is the set of Nash equilibria for k m? For k = m = 1, is the game the same (except for the names of the actions) as any considered so far in this chapter?
Describe this as a strategic-form game, and find all the Nash equilibria of the game. What would be your strategy in this game? Why?
How many items should the merchant stock in order to maximize her expected daily profit?
An even number of people have to be split into pairs. Each person's characteristic is a number; no two characteristics are the same. - Find the set of matchings in the core.
a supplier and a buyer who are both risk neutral play the following game the buyer orders a good of quality q ge0 from
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