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Rationalizable actions in Guessing Morra:-
Find the rationalizable actions of each player in the game Guessing Morra.
ExerciseGuessing Morra:- In the two-player game "Guessing Morra", each player simultaneously holds up one or two fingers and also guesses the total shown. If exactly one player guesses correctly then the other player pays her the amount of her guess (in $, say). If either both players guess correctly or neither does so then no payments are made.
a. Specify this situation as a strategic game.
b. Use the symmetry of the game to show that the unique equilibrium payoff of each player is 0.
c. Find the mixed strategies of player 1 that guarantee that her payoff is at least 0, and hence find all the mixed strategy equilibria of the game.
a consider the same game as in question above but suppose t is not known.instead we know that the game continues with
Solve the game by backward induction and report the strategy profile that results. - How many proper subgames does this game have?
Find the dollar weighted (simple interest) yield rate and the time weighted yield of the account for this year.
Verify that these strategies form a Nash equilibrium of the game. Do this by describing the payoffs players would get from deviating.
a) what is the probability that a randomly selected scooter passed inspection? b) what is the probability that if a randomly selected scooter did not pass inspection, it came from assembly line B?
Next suppose that the game being played is the battle of the sexes. In the long run, as the game is played over and over, does play always settle down to a Nash equilibrium? Explain.
Does one of the players have a strategy that guarantees him a win? If so, which player has a winning strategy?
Compute the outcome of the unique subgame-perfect equilibrium. - Show that when δ1 = δ2 player 1 has an advantage.
Explain how payoff matrices used in Game Theory illustrate mutual interdependence among firms in oligopolies. How can they be used to predict likely outcomes?
where time is measured in months and 0
a) How many cars are red and have a sun roof, but do not have an automatic transmission? b) How many cars are not red, do not have an automatic transmission, and do not have a sun roof?
If it is true, explain why. If it is false, provide a game that illustrates that it is false. "If a Nash equilibrium is not strict, then it is not efficient."
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