Explain whether the statement is true or false and explain why? Statement 1: If a game has a Pareto efficient outcome, there exists a Nash equilibrium that leads to this outcome. Statement 2: If someone has linear indifference curves between contingent commodity bundles, the she must be risk averse and the risk premium is positive. Statement 3: Suppose we have a game with three pure strategies. In a (fully) mixed strategy Nash equilibrium, a player is indifferent between her three pure strategies

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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Explain whether the statement is true or false and
explain why?
Statement 1: If a game has a Pareto efficient
outcome, there exists a Nash equilibrium that leads
to this outcome.
Statement 2: If someone has linear indifference
curves between contingent commodity bundles, then
she must be risk averse and the risk premium is
positive.
Statement 3: Suppose we have a game with three
pure strategies. In a (fully) mixed strategy Nash
equilibrium, a player is indifferent between her three
pure strategies
Transcribed Image Text:Explain whether the statement is true or false and explain why? Statement 1: If a game has a Pareto efficient outcome, there exists a Nash equilibrium that leads to this outcome. Statement 2: If someone has linear indifference curves between contingent commodity bundles, then she must be risk averse and the risk premium is positive. Statement 3: Suppose we have a game with three pure strategies. In a (fully) mixed strategy Nash equilibrium, a player is indifferent between her three pure strategies
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