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example of the prisoner's dilemma

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5. Nintendo and Sony Playstation are each planning to introduce one new game into the market. Each is considering three different kinds of games: an urban action game like Grand Theft Auto, an adventure game like Tomb Raiders, or a strategy game like SimCity The table shows each firm's profits (Sony's profit first) in millions of dollars.
Grand Theft Tomb Raiders Sim City
Grand Theft 2, 2 7, 3 8, 4
Sony Tomb Raiders 3, 10 -3, -3 1, 2
Sim City 4, 8 2, 1 -7, -7
a. Assuming the firms act independently, find the dominant strategy for both player (if exist), and the (Nash) equilibrium(a). Briefly, explain your answer. Is this game an example of the prisoner's dilemma?
b. Nintendo knows for a fact that Sony will not decide on its new project for four months. As CEO of Nintendo, what would you do immediately based on the analysis above?
c. If the firms were free to coordinate their decisions, what agreement (and actions) would they take? Explain briefly.

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Solution Summary

An example of the prisoner's dilemma is evaluated.

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The Prisoner's Dilemma and the Nash Equilibrium

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Case Assignment
Explain the Prisoner's Dilemma game, the notion of dominant strategy, and the concept of Nash equilibrium and cooperation. Using these concepts, then, analyze the following duopoly game.
Philip Morris and R.J. Reynolds spend huge sums of money each year to advertise their tobacco products in an attempt to steal customers from each other. Suppose each year Philip Morris and R.J. Reynolds have to decide whether or not they want to spend money on advertising. If neither firm advertises, each will earn a profit of $2 million. If they both advertise, each will earn a profit of $1.5 million. If one firm advertises and the other does not, the firm that advertises will earn a profit of $2.8 million and the other firm will earn $1 million.
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• What is the dominant strategy for each company, and what profit will each company earn if they follow those strategies?
• Is the solution you found in the first question a Nash equilibrium?
• Is the solution you found in the second question a Nash equilibrium?
Assignment Expectations
In the Case Assignment, you are expected to:
• Describe the purpose of the paper and provide a conclusion.
• Present information in a professional manner.
• Answer the Case Assignment questions clearly and provide necessary details.
• Write clearly and correctly—that is, no poor sentence structure, no spelling and grammar mistakes, and no run-on sentences.
• Provide citations to support your argument and place references on a separate page. (All the sources that you listed in the references section must be cited in the paper.) Use APA format to provide citations and references [http://owl.english.purdue.edu/owl/resource/560/01/].
• Type and double-space the paper.
• Whenever appropriate, please use Excel to show supporting computations in an appendix, present economic information in tables, and use the data to answer follow-up questions.

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