1. In the following extensive-form game, derive the normal-form game, and find allthe pure-strategy Nash equilibria, subgame-perfect equilibria, and perfect Bayesianequilibria.L'M'R'1RLM2PM' R'1,31,24,04,00,23,32,4

Referencehttps://ocw.mit.edu/courses/14-126-game-theory-spring-2016/a4d0a3949ab29c2a2f55442a9723d205…

Answered: 1. In the following extensive-form…

Principles of Microeconomics (MindTap Course List)

8th Edition

ISBN:9781305971493

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter17: Oligopoly

Section: Chapter Questions

Problem 9PA

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Sometimes oligopolies in the same industry are very different in size. Suppose we have a duopoly where one firm (Film A) is large and the other film (Film B) is small, as the prisoners dilemma box in Table 10.4 shows. Assuming that both films know the payoffs, what is the likely outcome in this case?
Does each individual in a prisoners dilemma benefit more from cooperation or from pursuing self-interest? Explain briefly.
Jane and Bill are apprehended for a bank robbery. They are taken into separate rooms and questioned by the police about their involvement in the crime. The police tell them each that if they confess and turn the other person in, they will receive a fighter sentence. If they both confess, they will be each be sentenced to 30 years. If neither confesses, they will each receive a 20-year sentence. If only one confesses, the they will receive 15 years and the one who stayed silent will receive 35 years. Table 10.7 below represents the choices available to Jane and Bill. If Jane trusts Bill to stay silent, what should she do? If Jane thinks that Bill will confess, what should she do? Does Jane have a dominant strategy? Does Bill have a dominant strategy? A = Confess; B = Stay Silent. (Each results entry lists Janes sentence first (in years), and Bills sentence second.)
When OPEC raised the price of oil dramatically in the mid-1970s, experts said it was unlikely that the cartel could stay together over the long term-that the incentives for individual members. to cheat would become too strong. More than fort),r years later, OPEC still exists. Why do you think OPEC has been able to beat the odds and continue to collude? Hint: You may wish to consider non-economic reasons.

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1. In the following extensive-form game, derive the normal-form game, and find all the pure-strategy Nash equilibria, subgame-perfect equilibria, and perfect Bayesian equilibria. L' M' R' 1 R L M 2 P M' R' 1,3 1,2 4,0 4,0 0,2 3,3 2,4