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Marketing, Celebrity Endorsement, and Market Share - are there relationships in the BSG among these three factors? If so, what are they? Is there something missing from this list that also influences Market Share? Describe what that could be.
What is the accumulated value at t = 30 of a 30 year ordinary annuity that has the first of its annual payments equal to $1000 and subsequent payments increasing by 2% through the 10th payment and equal to $1500 for all the remaining payments? Use..
Characterize the set of all Nash equilibria of this game.- Which Nash equilibria are perfect?- Find a proper equilibrium of the game.
Find a Bernoulli payoff function whose expected value represents the decision-maker's preferences and that assigns a payoff of 1 to the best outcome and a payoff of 0 to the worst outcome.
Find matrices A and B of order n × m representing two-player zero-sum games, such that the value of the matrix C:= 1/2A + 1/2B is less than the value of A and less than the value of B.
Establish whether there exists a two-player game in extensive form with perfect information, and possible outcomes.
James is a rising ice hockey star. He is 19 years old and his future is looking very bright. He is very excited about being selected to play in a representative team and wants to do everything to maximise his chances of achieving this goal. He knows ..
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.
How does the Prisoners' Dilemma apply in the game of Golden Balls? Is the Prisoner's Dilemma entirely applicable in this game? Why or why not?
Consider the following data for a simultaneous move ggiven: If you advertise and your rival advertises, you will each earn 5 million dollar in profits.
Suppose that player 1 selects the strategy p = 50 and player 2 selects the cutoff-rule strategy with p - = 50. Verify that these strategies form a Nash equilibrium of the game. Do this by describing the payoffs players would get from deviating.
In the following two-player zero-sum game, find the optimal behavior strategies of the two players. (Why must such strategies exist?)
If so, find a payoff function consistent with the information. If not, show why not. Answer the same questions when, alternatively, the decision-maker prefers the lottery.
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