Frank and Nancy met at a sorority sock hop. They agreed to meet for a date at a local bar the next week. Regrettably, they were so fraught with passion that they forgot to agree on which bar would be the site of their rendezvous. Luckily, the town has only two bars, Rizotti's and the Oasis. Having discussed their tastes in bars at the sock hop, both are aware that Frank prefers Rizotti's to the Oasis and Nancy prefer the Oasis to Rizotti's. In fact, the payoffs are as follows. If both go to the Oasis, Nancy's utility is 3 and Frank's utility is 2. If both go to Rizotti's, Frank's utility is 3 and Nancy's utility is 2. If they don't both go to the same bar, both have a utility of 0. There are two Nash equilibrium in pure strategies and a Nash equilibrium in mixed strategies where the probability that Frank and Nancy go to the same bar is 12/25. This game has two Nash equilibria in pure strategies and a Nash equilibrium in mixed strategies where each person has a probability of 1/2 of going to each bar. This game has a dominant strategy equilibrium. This game has no Nash equilibrium in pure strategies. This game has exactly one Nash equilibrium.
Frank and Nancy met at a sorority sock hop. They agreed to meet for a date at a local bar the next week. Regrettably, they were so fraught with passion that they forgot to agree on which bar would be the site of their rendezvous. Luckily, the town has only two bars, Rizotti's and the Oasis. Having discussed their tastes in bars at the sock hop, both are aware that Frank prefers Rizotti's to the Oasis and Nancy prefer the Oasis to Rizotti's. In fact, the payoffs are as follows. If both go to the Oasis, Nancy's utility is 3 and Frank's utility is 2. If both go to Rizotti's, Frank's utility is 3 and Nancy's utility is 2. If they don't both go to the same bar, both have a utility of 0. There are two Nash equilibrium in pure strategies and a Nash equilibrium in mixed strategies where the probability that Frank and Nancy go to the same bar is 12/25. This game has two Nash equilibria in pure strategies and a Nash equilibrium in mixed strategies where each person has a probability of 1/2 of going to each bar. This game has a dominant strategy equilibrium. This game has no Nash equilibrium in pure strategies. This game has exactly one Nash equilibrium.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:Frank and Nancy met at a sorority sock hop. They agreed to meet for a date at a local bar
the next week. Regrettably, they were so fraught with passion that they forgot to agree on
which bar would be the site of their rendezvous. Luckily, the town has only two bars,
Rizotti's and the Oasis. Having discussed their tastes in bars at the sock hop, both are aware
that Frank prefers Rizotti's to the Oasis and Nancy prefer the Oasis to Rizotti's. In fact, the
payoffs are as follows. If both go to the Oasis, Nancy's utility is 3 and Frank's utility is 2. If
both go to Rizotti's, Frank's utility is 3 and Nancy's utility is 2. If they don't both go to the
same bar, both have a utility of 0.
There are two Nash equilibrium in pure strategies and a Nash equilibrium in mixed strategies where
the probability that Frank and Nancy go to the same bar is 12/25.
This game has two Nash equilibria in pure strategies and a Nash equilibrium in mixed strategies
where each person has a probability of 1/2 of going to each bar.
This game has a dominant strategy equilibrium.
This game has no Nash equilibrium in pure strategies.
This game has exactly one Nash equilibrium.
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